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chemlabhandout

Course: CHEM 211L, Fall 2011
School: George Mason
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Chemistry GenChem/Organic Laboratory Department Office Room 343 Science & Technology I MSN 3E2 Phone 703-993-1070 FAX 703-993-1055 Dr. James C. Schornick Office 408A Science & Technology I Mailbox Room 343 Science & Technology I Phone 703-993-1091 E-Mail jschorni@gmu.edu Classes (Fall 2009) T Chem 211 4:30 pm Sec 004 7:10 pm Rm 204 PW Occoquan W Chem 315 Lab Sec 205...

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Chemistry GenChem/Organic Laboratory Department Office Room 343 Science & Technology I MSN 3E2 Phone 703-993-1070 FAX 703-993-1055 Dr. James C. Schornick Office 408A Science & Technology I Mailbox Room 343 Science & Technology I Phone 703-993-1091 E-Mail jschorni@gmu.edu Classes (Fall 2009) T Chem 211 4:30 pm Sec 004 7:10 pm Rm 204 PW Occoquan W Chem 315 Lab Sec 205 12:30 pm 3:20 pm Rm 407 S&T 1 R Chem 313 Lab Sec 208 1:30 pm Office Hours 5:20 pm M, T, W, R, F 9:30 am Rm 407 S&T 1 11:00 am Course Texts Slayden S., Stalick W., Organic Chemistry Laboratory Manual Slayden, S., Chem 211, 212, 251, Laboratory Experiments Pavia D., Lampman G., Kriz G., Engel, R., Introduction to Organic Laboratory Techniques, A Small Scale Approach, 2nd ed., Silberberg, Chemistry, Molecular Nature of Matter and Change Web Sites Slayden http://classweb.gmu.edu/chemlab Schornick http://classweb.gmu.edu/jschorni Chem Dept http://chem.gmu.edu/results Chemistry 315 - Organic I Laboratory Syllabus - Fall 2009 Date Aug 31 Sept 4 Sept 7 - 11 Experiment Introduction, Safety, Check-in Slayden & Stalick, 2005; Pavia, et al (2nd Ed), 2005 Slayden pp. 1-11; Pavia pp 2-5; Tech 1, 2 & 3.9 Holiday No Lab Physical Properties Melting Point Refractive Index Density Slayden Pavia Tech 9.1-9.5 Pavia Tech 9.7-9.9 Pavia Tech 24 Pavia Tech 13 pp. 19-22 pp. 659-663 pp. 664-669 pp. 867-872 pp. 731-733 Recrystallization Filtration Slayden Pavia Tech 11 Pavia Tech 6.2-6.3 Pavia Tech 8 pp. 23-25 pp. 679-684, 687-688, 694 pp. 614-615 pp. 645-653 Sept 28- Oct 2 IR, MS, UV Spectroscopy Lecture Ref Index of Spectroscopy Unknown B. Pt - Simple Distillation Slayden Pavia Tech 25 Pavia Tech 13 & 14 Pavia Tech 28 pp. 27-37 pp. 873-876, 882, 888-908 pp. 733-740 pp. 964-983 Oct 5 Oct 9 Spectroscopy Lecture (Cont) Infrared Spectrum of Unknown Schornick Solomons classweb.gmu.edu/jschorni Sec 2.16, 9.12-9.17. 13.9 Sept 14-18 Sept 21- 25 Oct 12-16 Holiday No Labs Nov 2 - 6 Slayden pp. 45-47 Pavia Tech 22.1-22.13 pp. 837-85 Distillation of a Mixture: Simple Distillation Fractional Distillation Slayden Pavia Tech 3.1-3.8 Pavia Tech 6.1-6.3 Pavia Tech 15.1-15.6 pp. 41-44 pp. 583-591 pp. 612-615 pp. 744-755 Gas Chromatography: Distillate Slayden pp. 39 Slayden Pavia Exp 23 Pavia Tech 12.1-12.4 Pavia Tech 12.8-12.10 pp. 49-50 pp. 187-188 pp. 698-706 pp. 712-717 Qualitative Organic Analysis: Oct 26-30 Gas Chromatography: Acetates Synthesis: t-Butyl Chloride Oct 19-23 Slayden Pavia Exp 55 491; pp. 51-55 pp. 468-479; 480-482; 486- Nov 9 - 13 Nov 16 - 20 Nov 23-27 Nov 30- Dec 4 Dec 7 - 11 Solubility (H2O & H2SO4) Alkanes, Alkenes, Alkynes, Aromatics, Halides, Alcohols Holiday No labs Qual Organic Analysis (Cont) Final Exam; Check out 507-511 Chemistry 318 - Organic II Laboratory Syllabus - Spring 20010 Date Experiment Slayden & Stalick, 2005; Pavia, et al (2nd Ed), 2005 Jan 28 Check-in, NMR Video Feb 2 Lecture: 1. Review - IR, UV, Mass Spec 2. Nuclear Magnetic Resonance Spectroscopy (NMR) Slayden - p. 59 60 Solomons - p. 386 417 Pavia - p. 909 964 Schornick - http://classweb.gmu.edu/jschorni/chem318 Feb 9 Bromination of Toluene (Ortho, Para Substitution) Slayden - p. 61 65 Pavia - p. 347 349 Schornick - http://classweb.gmu.edu/jschorni/chem318 Feb 16 Nitration of Methyl Benzoate Meta Substitution Slayden - p. 67 69 Pavia - p. 352 355 Schornick - http://classweb.gmu.edu/jschorni/chem318 Feb 23 & Mar 2 NMR NMR Spectroscopy Identification of Unknown Slayden - p. 59 60 Pavia - p. 909 964 Schornick - http://classweb.gmu.edu/jschorni/chem318 Mar 9 Spring Break No Lab Pavia - p. 303 314 Schornick - http://classweb.gmu.edu/jschorni/chem318 Mar 16 Synthesis of Grignard Reagent Mar 23 Synthesis of Benzoic Acid (Continuation of Grignard Exp) Pavia - p. 303 314 Schornick - http://classweb.gmu.edu/jschorni/chem318 Mar 30 Qualitative Organic Analyses (Aldehydes & Ketones) Slayden - p. 73 76 Pavia - p. 491 496 Schornick - http://classweb.gmu.edu/jschorni/chem318 Apr 6 Qualitative Organic Analyses Aldehydes & Ketones (Cont) Apr 13 Synthesis of Isopentyl Acetate (Banana Oil) Pavia - p. 93 96 Schornick -http://classweb.gmu.edu/jschorni/chem318 Apr 20 Synthesis of Dibenzalacetone (Claisen Schmidt Aldol Condensation) Slayden - p. 77 Pavia - p. 61 68 Schornick - http://classweb.gmu.edu/jschorni/chem318 Apr 27 Final Exam & Lab Checkout Chemistry 315 - Organic I Laboratory Syllabus Summer 2009 Session A Date Experiment Slayden & Stalick, 2005; Pavia, et al (2nd Ed), 2005 May 20 Introduction, Safety, Check-in Slayden pp. 1-12; Pavia pp 2-5; Tech 1, 2 & 3.9 May 21 Physical Properties Melting Point Refractive Index Density Slayden Pavia Tech 9.1-9.5 Pavia Tech 9.7-9.9 Pavia Tech 13 Pavia Tech 24 pp. 19-21 pp. 659-663 pp. 664-669 pp. 731-733 pp. 867-872 May 22 Recrystallization Slayden Pavia Tech 11 Pavia Tech 6.2-6.3 Pavia Tech 8 pp. 23-25 pp. 679-684, 687-688, 694 pp. 614-615 pp. 645-653 Filtration May 27 IR, MS, UV Spectroscopy Lecture Web Site Pavia Tech 25 Solomons http://classweb.gmu.edu/jschorni pp. 873-876, 882, 888-908 Sec 2.16, 9.12-9.17. 13.9 May 28 Spectroscopy Lecture (Cont) Simple Distillation of Unknown Refractive Index of Unknown Infrared Spectrum of Unknown Slayden Pavia Tech 14 pp. 27-37 pp. 733-740 May 29 Gas Chromatography: Acetates Slayden pp. 45-47 June 3 Distillation of a Mixture: Simple Distillation Fractional Distillation Slayden Pavia Tech 3.1-3.8 Pavia Tech 6.1-6.3 Pavia Tech 15.1-15.6 pp. 41-44 pp. 583-591 pp. 612-615 pp. 744-755 June 4 Gas Chromatography: Distillate Slayden pp. 39 Pavia Tech 22.1-22.13 pp. 837-855 June 5 Synthesis: t-Butyl Chloride Slayden Pavia Exp 23 Pavia Tech 12.1-12.4 Pavia Tech 12.8-12.10 pp. 49-50 pp. 187-188 pp. 698-706 pp. 712-717 June 10 Qualitative Organic Analysis: Slayden Pavia Exp 55 pp. 51-55 pp. 468-479; 480-482; 486-491; Solubility (H2O & H2SO4) Alkanes, Alkenes, Alkynes, Aromatics, Alkyl & Aryl Halides, Alcohols June 11 Qual Org Analysis (Cont) June 12 Final Exam; Check out 507-511 Chemistry 318 - Organic II Laboratory Syllabus Summer 2009 Session C Date Experiment Slayden & Stalick, 2005; Pavia, et al (2nd Ed), 2005 July 7 Check-in, Safety Video, NMR Video Introduction to Lab Process July 8 Lecture: Review IR, UV, Mass Spec Lecture: Nuclear Magnetic Resonance Spectroscopy (NMR) Slayden - p. 59 60 Solomons - p. 386 417 Pavia - p. 909 964 Schornick - http://classweb.gmu.edu/jschorni/chem318 July 9 Bromination of Toluene (Ortho/Para Substitution on Benzene Ring) Slayden - p. 61 65 Pavia - p. 347 349 Schornick - http://classweb.gmu.edu/jschorni/chem318 July 14 Nitration of Methyl Benzoate (Meta Substitution on Benzene Ring) Slayden - p. 67 69 Pavia - p. 352 355 Schornick - http://classweb.gmu.edu/jschorni/chem318 July 15 NMR Identification of Unknown (Simple Distillation; Phys Char; Sol; Density; Ref Index, NMR; IR Slayden - p. 59 60 Solomons - p. 386 417 Pavia - p. 909 964 Schornick - http://classweb.gmu.edu/jschorni/chem318 July 16 Synthesis of Isopentyl Acetate (Banana Oil) Pavia - p. 93 96 Schornick - http://classweb.gmu.edu/jschorni/chem318 July 21 Synthesis of Grignard Reagent Pavia - p. 303 309; 313-314 Schornick -http://classweb.gmu.edu/jschorni/chem318 July 22 Synthesis of Benzoic Acid (Continuation of Grignard Exp) July 23 Qualitative Organic Analyses (Aldehydes & Ketones) Slayden - p. 73 76 Pavia - p. 491 496 Schornick: http://classweb.gmu.edu/jschorni/chem318 July 28 Synthesis of Dibenzalacetone (Claisen Schmidt Aldol Condensation) Slayden - p. 77 Pavia - p. 61 68 Schornick - http://classweb.gmu.edu/jschorni/chem318 July 29 lab Checkout; Final Exam Chemistry 312 Gen Chem Laboratory Syllabus Fall 2009 Date Experiment References July 7 Check-in, Safety July 8 Molecular Mass by Freezing Point Depression Slayden, pp. 107-112 Silberberg, Chapter 13, pp. 500-552 Web Handout July 9 Redox Titration of Oxalate by Permanganate Slayden, pp. 121-126 Silberberg, Chapter 21, pp. 922-979 Web Handout July 14 Kinetics I Iodine Clock Silberberg, Chapter 16, pp. 684-736 Web Handout July 15 Kinetics II Crystal Violet Silberberg, Chapter 16, pp. 684-736 Web Handout July 16 Measurement of Equilibrium Constant Slayden, pp. 145-154 Silberberg, Chapter 17, pp.737-781 Web Handout July 21 Acidity Constant by pH Titration Curves Slayden, pp. 165-169 Silberberg, Chapter 18, pp.782-830 Web Handout July 22 Dissociation Constants of Acids & Bases Slayden, pp. 155-164 Silberberg, Chapter 18, pp. 782-830 Web Handout July 23 Molar Solubility and the Common Ion Effect Silberberg, Chapter 19, pp. 831-879 Web Handout July 28 Thermodynamics of the Dissolution of Borax Silberberg, Chapter 20, pp. 880-921 Web Handout July29 Make-up Day, if necessary July 30 Electrochemical Measurements Silberberg, Chapter 21, pp. 922-979 Web Handout Websites: Lab Results http://chem.gmu.edu/results (top of page) Handouts http://chem.gmu.edu/results (bottom of page) Web Lecture Notes http://classweb.gmu.edu/jschorni/chem212lec Web Lab Notes http://classweb.gmu.edu/jschorni/chem212lab Organic Chemistry Laboratory (I & ll) Objective The purpose of the Organic Chemistry laboratory courses is to introduce the student to basic techniques used in the lab to identify and synthesize organic compounds. Experiments Chem 315 Melting Point Chem 318 Bromination of Toluene (Electrophilic Aromatic Substitution) Refractive Index Nitration of Methyl Benzoate (Electrophilic Aromatic Substitution) Spectroscopy (Mass, Ultraviolet/Vis, Infrared) (Unknown Identification) Spectroscopy (Nuclear Magnetic Resonance) (Unknown Identification Simple & Fractional Distillation Synthesis Grignard / Benzoic Acid (Electrophilic Addition) Gas Chromatography Of Acetates Synthesis Isopentyl Acetate (Fischer Condensation) Gas Chromatography Of Distillates Synthesis Dibenzalacetone (Mixed Aldo Condensation) Synthesis T-Butyl Chloride (Sn1 Nucleophilic Substitution) Synthesis Acetanilide (Nucleophilic Acyl Substitution) Qualitative Analysis (Alkanes, Halides, Alcohols) (Unknown Identification) Qualitative Analysis (Aldehydes & Ketones) (Unknown Identification) Techniques Mass Spectrometry Melting Point Fractional Distillation Ultraviolet/Vis Spectroscopy (UV) Refractive Index Partial Elemental Analysis Infrared Spectroscopy (IR) Simple Distillation Limiting Reagent Nuclear Magnetic Resonance (NMR) Recrystallization Gas Chromatography Vacuum Filtration General Chemistry Laboratory Objective The purpose of the Genchem 211/212 laboratory courses is to introduce the student to basic techniques used in the lab to illustrate typical reaction and measure the properties of compounds Experiments Chem 211 Techniques Titration Electrode Potential by pH meter Temperature Chem 212 Molecular Mass by Freezing Point ReDox Titration by Permanganate Kinetics Iodine Clock Kinetics Crystal Violet Equilibrium Constant Acidity Constant by pH Titration Dissociation Constant of Acids & Bases Molar Solubility & Common Ion Effect Thermodynamics of Dissolution Electrochemical Measurements Chemistry Laboratory Class Elements: Experiments (8 organic; 10 genchem) Laboratory Reports Quizzes Problem Set (Organic only Final Exam (Organic only) Safety procedures Strictly Enforced Goggles Lab Coats Gloves - Latex Non-latex (Nitrile) alternatives available) Suggest old jeans & shirts (chemical spills & stains inevitable) No Shorts, Flipflops, or Open-toed shoes Safety Related Conduct Honor Code GMU operates on basis of an Honor Code. All reports checked to ensure originality in lab report preparation. Honor Code violations will be dealt with accordingly. Chemistry Laboratory Class Elements (Cont): Missed labs There are very limited provisions for missed lab sessions, especially in the summer sessions. Laboratory setup logistics severely limit provisions for making up missed lab sessions. Students can sometimes make up a lab during the same week of the experiment (except in summer sessions). It is the students responsibility to anticipate and make provisions for missed labs. Missed laboratory sessions will receive a grade of zero for the report unless arrangements are made with the instructor for making up the lab work. Missed Lab Reports Laboratory reports not handed in will receive a grade of 0. Late Lab Reports Laboratory reports are due the week following the experiment. One Week Late 10 points deduction Two Weeks Late 25 points deduction Three Weeks Late Grade of 0 Chemistry Laboratory Laboratory Process 1. Quizzes - Quizzes are given at the beginning of lab and last about 20 25 minutes. 2. Lab Lecture - (30-45 min)) Introduction to the next experiment Review Student Questions Instructor Subjects Detailed instructions for the Experiment 1. Pre-Lab Reports Pre-lab reports containing Purpose, Approach, References, Procedure Descriptions, and proposed Data Presentation Templates are prepared using a supplied template. The pre-lab is due at the beginning of lab and will be checked by instructor during the Quiz. 4. Final Lab Report - The pre-lab reports are completed with experimental data, a data summary, and an analysis of the experimental results. 5. The final lab is submitted the week following the experimental work 6. The Lab Report is prepared according to the detailed guide lines described in this document utilizing a Microsoft Word lab report template obtained from the web site - http://classweb.gmu.edu/jschorni Chemistry Laboratory Grades (Orgainc Labs): 1. Reports, quizzes, exams, etc. are graded on basis of 100 points. 2. Instructor defines curve for assigning letter grades. 3. Missed quizzes & reports will receive a grade of 0, if not submitted within 3 weeks of lab. 4. Quizzes / Problem Set (20% of Grade) Quizzes will cover the background and theory of the experiment, reaction equations, procedural details, applicable computations. Any quiz may have an additional question on Spectroscopy. 5. Problem Set (Counts as two (2) quizzes) 6. Lab Reports (60% of Grade) The grade for each experiment is based on the laboratory report: Technical content Procedure Descriptions Results & Observations Analysis of Results, Conclusions Completeness Organization / logical structure Presentation / Neatness 7. Final Exam (20% of Grade) Chemistry Laboratory Grades (Genchem Labs): 1. Reports and quizzes are graded on basis of 100 points. 2. Instructor normalizes grade point totals to a class medium value of 80% 3. The normalized grade point percentage is submitted to Lecture Instructor for incorporation into final grade for course 4. Missed quizzes & reports will receive a grade of 0, if not submitted prior to final lab session. 5. The grade for each experiment is based on the laboratory report: Technical content Purpose / Approach Procedure Descriptions Results & Observations Analysis of Results, Conclusions Completeness Grammar / Organization / logical structure Presentation / Neatness Chemistry Laboratory The Laboratory Report: 1. The laboratory report plays the most important role in the presentation of Lab Course. 2. The primary focus of laboratory courses is to enhance the learning of laboratory techniques and evaluation of experimental results through a comprehensive laboratory report process. 3. The report process requires pre-lab planning, focused lab work, and a conscientious effort to effectively communicate the lab results to others in a clear, concise, grammatically and technically correct manner. 4. Continued improvement in neatness, technical content, organization, and readability dictate the grading process as the semester proceeds. 5. Final reports, including any charts and spectra for a given experiment, will be submitted not later than Friday of the week following the completion of the experimental data collection. 6. In some cases, final data collection, e.g., melting points, etc., is done at the beginning of the next experimental lab session, in which case the report will be due the following week. Chemistry Laboratory The Laboratory Report (Cont): 7. During summer sessions there are three (3) lab sessions per week. The lab reports for a summer session week are due no later than Friday of the week following the experiments of the previous week. 8. The Lab Report is graded on the basis of: logical Organization Completeness Brevity Scientific Knowledge & Correctness Computational Accuracy Neatness Readability 9. Pre-lab Preparation The student uses a Microsoft Word report template (downloaded from the Instructors Website) to prepare a Pre-lab Report, which is checked at the beginning of the lab session. 10. The Pre-lab report then evolves to the Final Report as the student records the experimental observations and results in the Result Templates created in the Pre-lab report. Chemistry Laboratory The Laboratory Report (Cont): 11. Results must be organized logically using a student designed data template for each procedure. Ex. Label all data results, use aligned columns, insert and use MS Word tables as applicable. 12. The Results Summary section is a paragraph summarizing all of the results obtained in the experiment. 13. The Analysis & Conclusions section is a logical development of a set of arguments, utilizing selected results from the experiment, to support of any conclusions arrived at as a result of the experimental process. 14. Emphasis is placed on correct grammar. Use as few words as possible, but use complete, grammatically correct, sentences. Do not use First Person, i.e., I, me, my, our, etc. Chemistry Laboratory The Pre-lab Report The Pre-Lab is a template for the final report. It is created utilizing a Microsoft Word template downloaded from the Instructors Website: http://classweb.gmu.edu/jschorni/labreporttemplate.doc The Pre-lab contains all the elements of the final report except the experimental data, i.e., the results, final computations, summary, analysis, conclusions. The pre-lab report will be checked by the instructor during the lab session. The components of the pre-lab consist of the following: Note: All information in the Pre-Lab Report is assumed known to the student prior to the lab session from the laboratory text resources and the Web Site notes provided by the Instructor. Name, Date, Course & Section No., Drawer No., Partner(s), if any, entered into the Header Page of the report Title of Experiment Purpose Approach (Overview of the steps to be used to conduct the experiment) References (Formal citation format) both text resources & compound resources. Chemistry Laboratory Pre-lab Report Principal Components Pre-Lab Report Components (Cont) Procedures: Start each procedure on a new page Materials & Equipment (2 Columns) Procedure Description Equation Setup Labeled Data Templates / Blank Tables Chemistry Laboratory Final Report (The Pre-Lab report is completed) 1. Name (Must be on all pages of report) 2. Title 3. Purpose 4. Approach 5. References 6. Procedure #1 Procedure Name (New Page) (Must be on all pages of report) a. b. Procedure Description, Equation Setup c. Populated Data Templates & Tables d. 7. Materials & Apparatus (2 Columns) Final Calculations Procedure #2 Procedure Name (New Page) a. Materials & Apparatus (2 Columns) b. Procedure Description, Equation Setup c. Populated Data Templates & Tables d. Final Calculations 8. Procedure #. 9. Summary Table of Results (optional) 10. Summary paragraph of Results (New Page) 11. Analysis/Conclusions Logically derived supporting statements to justify conclusions made as to the significance of the experimental results. Chemistry Laboratory Report Elements 1. Name, Date, Drawer, Experiment No., Partners, etc. on each Header page of the report 2. Title: Short statement about the experiment, e.g., Nitration of Methyl Benzoate. 3. Purpose: Short, concise statement of what the experiment will accomplish. The statement should include: The principle reaction involved The instrumental technique that will be used. Ex: The purpose of this experiment is to synthesize a carboxylic acid utilizing an oxidation/reduction reaction between Chromic Acid and an Aldehyde. Ex: The purpose of this experiment is to synthesize the analgesic Aspirin (Acetylsalicylic Acid) in an Esterification reaction between Acetic Anhydride and Salicylic Acid. Organic Chemistry Laboratory (I & ll) Report Elements (Cont): 4. Approach: The Approach is a logical order listing, in paragraph form, of the procedures, including major steps within a procedure, that you will use to conduct the experiment. The task here is to determine what constitutes a procedure. A procedure is a logical group of steps you take to produce a particular result within the experiment. An element in the Approach would be a simple descriptive statement of the procedure to be used. ex. Determine the Mass of Benzoic Acid by Weighing. ex. Separate crude product from reaction solution by vacuum filtration. Note: Care must be taken not to include procedural details. Note: Calculations are considered to be procedures, and thus, would be elements in the Approach. Chemistry Laboratory Report Elements (Cont) 4. Approach (Cont): Example: Determine the Mass of the Ethanol from its volume and density. Compute the Moles of the Reagents. Setup the Stoichiometric Balanced reaction equation and determine the Molar Ratios. Determine the Limiting Reagent. Compute the Theoretical Yield. Extract (wash) the product with Distilled Water followed by 5% Sodium Bicarbonate. Dry the product with Anhydrous Sodium Sulfate. Determine the yield and % yield of the product. Determine the Refractive Index corrected for room temperature. Obtain an IR Spectra. Example: Determine the Mass of Formic Acid by weighing. Determine the Mass of Isobutyl Alcohol from its volume and density. Compute the Moles of the two reagents. Setup the Stoichiometric equation and determine the Molar ratios. Determine the Limiting Reagent. Calculate the Theoretical Yield. Mix the reagents together with the Sulfuric Acid catalyst. Wash/Extract the organic layer with Sodium Bicarbonate. Separate the Organic layer from the Aqueous layer in a Separatory funnel. Dry the product with Anhydrous Sodium Sulfate. Purify and determine the Boiling Point of the product using Simple Distillation. Determine the Mass of the purified product. Compute the Percent Yield of the product. Determine the Melting Point of the product. Chemistry Laboratory Report Elements (Con't) 5. Reference Citations Text A formal citation of the principal resources used to provide background information and procedural details for the experiment. The following texts are normally cited in each Organic Lab report: Slayden, S., Stalick, W., 2005, Organic Chemistry Laboratory Manual, 2nd Edition: Pearson Custom Publishing: 126 p. Pavia, D.L., Lampman, G.M., Kriz, G.S., Engel, .G.R., 2006, Introduction to Organic Laboratory Techniques, A Small Scale Approach, 2nd Edition, Brooks/Cole-Thompson Learning: 1029 p. Reference Citations Website URLs http://riodb01.ibase.aist.go.jp/sdbs/cgi-bin/ direct_frame_top.cgi (The above site provides Mass, IR, Proton & C-13 NMR Spectra) http://chemfinder.cambridgesoft.com (The above site provides Synonyms, Physical Properties, Molecular Formulas, Structural Formulas) http://www.chemexper.com Other website URLs you might use. Organic Chemistry Laboratory (I & ll) Report Elements (Con't) 5. References (Cont) Compound Citations In addition to the text references the report requires citations for the chemical compound(s) synthesized or identified in the experiment. The following sources can be used as references: CRC Handbook of Chemistry & Physics, 84th Edition, Lide, D.R., Editor-in-chief, 2003-2004, CRC Press Handbook of Data on Organic Compounds, Weast, R.C., Astle, M.J., 1985, CRC Press The Merck Index, 13th Edition, 2001, ONeil, M.J. Senior Editor, Merck & Co., Inc The citation for a compound must include: Formal International Union of Pure & Applied Chemistry (IUPAC) name One Synonym (common name) Chemical Abstracts Registry Number Publication, Date, Edition Author (Editor) Page number where compound was found. Item number of compound Chemistry Laboratory Report Elements (Con't) 5. References (Cont) Compound Citations Synonyms In many cases organic compounds have several names in addition to the formal (IUPAC) name. Use the following steps to find the formal name: Go to the http://chemfinder.cambridgesoft.com website. This site is particularly rich in synonyms. Type in the name of the compound that you are using the site is lenient on spelling. The formal compound may not be the first name listed. See example page image on next slide. Note the Chemical Abstract System (CAS) Registration No. (XXX-ZZ-Y) following the name on the first line. The CAS number can be used to locate your compound in a variety of websites and printed resources that may have the compound listed by just a single or limited number of the various synonyms. Chemistry Laboratory Typical page from chemfinder.com web site containing Synonyms, CAS No., Molecular Formula, Physical Properties, Structural Info. (http://chemfinder.cambridgesoft.com) Chemistry Laboratory Report Elements (Con't) 5. References (Cont) - Synonyms Both the CRC Handbook and the Merck Index have cross-reference tables linking the CAS No. to the compound in the properties table. In the CRC book, the item number crossreferenced from the CAS no. is in the first column followed by a Name column and a Synonym column. The more formal name could be in either the 2nd column or the 3rd column. In the Merck Index, the formal chemical name is usually the name in italics following the CAS No. Ex. 1,4-dimethylbenzene (p-xylene) 106-42-3, CRC Handbook of Chemistry & Physics, 2003, 84th ed.,Lide, D.R., Editor: # 4800, p. 3-256 1,4-dimethylbenzene formal chemical name p-xylene common name Organic Chemistry Laboratory (I & ll) Report Elements (Cont): 6. Procedures: a. In general, start each new procedure on a NEW page. Exceptions can be made when two (2) or more procedures and associated results can be placed on one page in their entirety without crowding. b. The procedure description is placed in the left column of the procedure table in the template. Applicable results for a given procedure go in the column just to the right of the Procedure description. c. Each procedure is setup as an individual numbered and named entity. It includes: a) Procedure No. & Title b) Materials, and Equipment (M & E) Use two (2) columns in list (bullet) format, one for Materials and one for Equipment. The Materials column includes principal reagents and amounts used. Apparatus setups need to include a detailed list of the major components. Chemistry Laboratory Report Elements (Cont): 6. Procedures (Cont): c. Procedure Setup (Cont): a) Procedure Description A short, concise, but complete, description of the experimental steps used to obtain a particular experiment result. The procedure descriptions should be an abbreviated form of the detailed instructions from the lab text, lab manual, or Web Site Notes. The student should use his/her own words, i.e., DO NOT COPY THE BOOK. The Procedure steps should be complete sentences put in list (bullet) format. If the procedure involves a computation, the algorithm is setup as part of the procedure description. Variables must be defined. The equation (derived as necessary) must be setup to represent the computational form of the algorithm. Chemistry Laboratory Report Elements (Cont): 6. Procedures (Cont): d. Procedure Scenarios: a) If the experiment is the identification of an unknown substance, the following initial procedures are applicable. If the sample is a liquid the next procedure is to purify the sample and determine its boiling point by Simple Distillation. The second procedure in the report is the description of the purified unknown sample solid, liquid, color, odor, etc. The next procedure for a liquid is to determine its Refractive Index, followed by a sub-procedure to correct the Refractive Index for temperature. ND20 = ND RmTemp + t (0.00045 / oC) t = Room Temp - 20 If the unknown sample is a solid, the melting point is determined. Determine the relative Solubility of the unknown in distilled water. Determine the Density of the unknown relative to distilled water. Obtain IR Spectrum and NMR Spectrum Chemistry Laboratory Report Elements (Cont): 6. Procedures (Cont): d. Procedure Scenarios (Cont): b) If the experiment is the Synthesis of a compound, the first objective is to determine the Theoretical Yield. To do this you must determine the following in sequence: The Masses of the Reagents The Moles of the Regents The Stoichiometric Molar Ratios The Limiting Reagent The Theoretical Yield. NOTE: Each of the above items would be a separate procedure in the report. Chemistry Laboratory Report Elements (Cont): 6. Procedures (Cont) d. Procedure Scenarios (Cont) b) Synthesis of Compound (Cont) If one or more of the reactants is a solid, the following considerations are applicable: Determine Mass of reactant A to the nearest 0.001 g. by weighing Determine Mass of reactant B to the nearest 0.001 g. by weighing Note: Since the 2 steps above involve the same process to determine the mass of the reagents, only one (1) procedure is required. Compute the Moles of reactants A & B. Note: This is a separate procedure Chemistry Laboratory Report Elements (Cont): 6. Procedures (Cont): d. Procedure Scenarios (Cont): b) Synthesis of a Compound (Con't): If one or more of the reactants is a liquid the following considerations are applicable: If a reactant is an Inorganic liquid, e.g., acid or base, use a Volumetric Pipet (volume precision is good to at least 0.001 ml). This volume must be converted to Mass using the relationship between volume, density and mass Density = Mass / Vol Mass = Density x Vol The Mass must be adjusted for the percentage content of the solute in the solution. For example, the % Nitric Acid in conc Nitric acid is 70%. Thus, the mass of HNO3 is 70% of the mass of the solution. As an alternative, the relationship between Volume and Molarity can also be used to determine the number of moles being used. (Molarity = Moles / Liter) Chemistry Laboratory Report Elements (Cont): 6. Procedures (Cont): d. Procedure Scenarios (Cont): b) Synthesis of a Compound (Con't): If one or more of the reactants is a organic liquid the following considerations are applicable: The density and percentage content are usually not applicable. Organic liquids should be weighed directly to obtain the mass to the nearest 0.001 g. Once the mass is determined, it is converted to moles. Once the Moles of Reactants have been determined, set up the Stoichiometric balanced equation and determine the Molar Ratios Determine Limiting Reagent from the number of Moles actually used in the experiment and the Molar Ratio from the balanced equation. Note: See example computations Chemistry Laboratory Report Elements (Cont) 7. Results The results obtained from the experiment are reported on the Right side of the report page opposite the procedure description. The format of each Results section must be carefully designed so that the data / observations / calculations are presented in a logical and clearly readable manner, i.e., NEAT. In other words, the student must design a template for presenting the results. Procedure #1- Boiling Point Materials Equipment ___ ___ ___ ___ Procedure Description (in Bullet form) Equation Setup Results Observations Measurements (Tables, if applicable) Calculations: Show data substitutions, Procedure #2 - Density Materials Equipment ___ ___ ___ ___ Procedure Description (in Bullet form) Equation Setup Results Observations Measurements (Tables, if applicable) Calculations: Show data substitutions, units, and appropriate precision units, and appropriate precision Chemistry Laboratory Download the Lab Report Template from the Web Site Information is typed in the shaded blocks of the tables. Procedure Descriptions, Materials, Equipment are Bulletized Information for the Header table is entered as follows: 1. Select Header & Footer from the View Menu. 2. Enter the appropriate information into the shaded blocks. 3. Select View Print from the View Menu 4. The Header information will flow automatically to each page. Typical Header Table Experiment: Date: Type the Name of the Experiment Here Name Partners Drawer No. Type Your Name Type Your Partners Names (if any) Course / Section Chem 315 / 202 Typical Procedure Table Proc # 1 Type procedure Title Here Materials Unknown # Q46 Results Equipment 50 mL Erlenmyer flask Desc: Procedure Descriptions must be: Bullets Complete Sentences Full, but brief description of the process Type results of the procedure here. The Results template must be: Organized Neat Logically presented Procedures involving equations must show the computation for each result. Equation Setup: Show the Equation to be used (if applicable) and define the variables. NOTE: Each Shaded Block Will Expand As Necessary To Accommodate Additional Lines Of Information. Procedure Examples Experiment: Date: Melting Point / Refractive Index Name Proc # 1 Partners Drawer No. Melting Point of 2 known substances Materials Equipment Capillary tubes 3 ft glass tubing 2 known compounds Course / Section Results Substance # 1 Meltemp Apparatus 1st MP 85.4oC 86.2oC 85.2oC Desc: 2nd MP 86.1oC 85.3oC 86.2oC Crush small amount of dried sample on a clean watch glass. Avg: Insert about 1/4 in. sample into glass capillary tube by gently tapping sample with open end. Substance # 2 Insert glass tube, closed end down, into a 3ft long glass tube from instructor's desk, and let melting point tube drop and bounce on desk atop 93.7oC 95.1oC 93.9oC 95.4oC 93.8oC 94.3oC Sample should move from open end to closed end. Place tube with sample in Mel Temp apparatus and slowly raise temperature until sample melts. Allow sample to solidify and repeat melting process; this time reducing rate of temperature rise even slower when temperature reaches a few degrees before sample is expected to melt. Note temperature at which sample first starts to melt and when sample is completely melted This is the melting point range. Repeat for additional samples. Equation Setup: Avg: Procedure Examples Experiment: Date: Nitration of Methyl Benzoate Name Partners Proc 1 Drawer No. Determine Mass of Methyl Benzoate Materials Methyl Benzoate Equipment Balance Calculator Course / Section Results Mass Vial + Methyl Benzoate - 6.358 g Mass Vial - 3.189 g Mass Methyl Benzoate - 3.169 g Desc: Obtain approximately 3 g of Methyl Benzoate weighed to the nearest 0.001 g. Equation Setup: Vial Full Vial Empty = Mass of Reagent Proc # 2 Compute the Moles of Methyl Benzoate Materials Equipment Calculator Desc: Compute moles from the Mass and the Molecular Weight Equation Setup: Moles = Mass(g) / Mol Wgt (g/mole) Results Moles MB = 3.169 g / 136.15 g/mole = 0.02328 moles MB Note: Appropriate Precision must be applied to Calculations and Results. See last page of this document for review of data precision Procedure Examples Experiment: Date: Nitration of Methyl Benzoate Name Partners Proc 3 Drawer No. Determine Mass of Nitric Acid Materials Conc Nitric Acid (70%) Equipment Graduated Cylinder Calculator Desc: Course / Section Results Vol HNO3 = 2.000 mL Mass MB = Den x Vol x % Comp = 1.41g/ml x 2.000ml x 0.70 = 2.04 g Use Volumetric Pipet to obtain 2.000 mL HNO 3 Calculate Mass of HNO3 from Volume, Density (1.41 g/mL) and % composition. Equation Setup: Density = Mass / Vol Mass = Density(g/ml) x Vol(ml) x % Comp Proc # 4 Compute the Moles of Nitric Acid Materials Equipment Calculator Desc: Compute moles from the Mass and the Molecular Weight Equation Setup: Moles = Mass(g) / Mol Wgt(g/mole) Results Moles HNO3 = 2.04g / 63.02 g/mole = 0.0329 moles Procedure Examples Experiment: Date: Nitration of Methyl Benzoate Name Partners Proc 5 Mix Reagents and Initiate the Reaction Materials Conc Nitric Acid Methyl Benzoate Drawer No. Equipment 50 mL Beakers Stirring Rod Ice / Water Bath Desc: Place Benzoic Acid and 6 mL Conc Sulfuric Acid in a 50 mL beaker in an ice/water bath. In a separate beaker in an ice/water bath put Conc HNO3 and 2 ml Conc Sulfuric Acid. Drop wise add H2SO4/HNO3 mixture to the H2SO4/Benzoic Acid mixture stirring continuously with stirring rod. Equation Setup: Results Course / Section Procedure Examples Experiment: Date: Nitration of Methyl Benzoate Name Partners Proc # 6 Drawer No. Vacuum Filtration Materials Crude Product Distilled Water Methanol Results Equipment Filter Buckner Funnel Vacuum Tubing Spatula Desc: Isolate precipitated product by vacuum filtration using a Buckner Funnel Attach Vacuum tubing to filter flask and vacuum port on desktop. Place filter moistened with cold water into Bucker Funnel. Transfer Product to Buckner Funnel using spatula and minimal amounts of water. Allow vacuum to pull solvent through the filter. Wash product with 2 15 mL portions of cold distilled water. Wash product again with 2 15 mL portions of cold Methanol. Equation Setup: Course / Section Chemistry Laboratory 8. Summary Discussion a. The summary/discussion is a listing in Paragraph format of the results obtained in the experiment, i.e., ALL RESULTS. b. The results are not to be embellished or interpreted in any way. It is simply a summary listing of each result you obtained. 9. Analysis/Conclusions a. A step by step presentation of arguments, utilizing selected results as applicable, to make a statement in support of any conclusions you have reached regarding the results of the experiment. Ex. What sequence of results lead to your selection of the identity of the Unknown compound? How did your yield compare to the calculated theoretical yield? How does Gas Chromatography determination of Mole Percent in a mixture compare to the composition as determined by Fractional Distillation? What functional groups were identified from the IR analysis and how did you decide on a particular compound structure? Procedure Examples Experiment: Date: Nitration of Methyl Benzoate Name Partners Drawer No. Course / Section Summary of Results: The results (ALL RESULTS) of the experiment are summarized here in a paragraph. Analysis & Conclusions: Develop a logical set of arguments to support any conclusions you have reached about the experiment. Summary of Compound Properties Use table for Experimental Unknowns & Synthesized Compounds only. Use appropriate literature resources to fill in Literature values, even if experimental results are not available. Literature Summary (Unknowns, Synthesized Compounds) (Do Not List Reagents) Unknown Number Name (IUPAC) Synonyms Melting Point (oC) Lit Exp Lit Exp Lit Exp Lit Exp Boiling Point (oC) Lit Exp Lit Exp Lit Exp Lit Exp Refractive Index (nD20) Lit Exp Lit Exp Lit Exp Solubility (Rel to Water) Lit Exp Lit Exp Lit Exp Lit Exp Density Rel to Water Lit Exp Lit Exp Lit Exp Lit Exp Molecular Formula Structural Formula Chemistry Laboratory Report Grading Form Sec Unk No. Experiment: Name: Report Segment Lab Report (Pre-Lab & Final) Grade Codes Max Pts Rpt Pts Comments 10 Procedure descriptions, result templates 5 Brief, concise statement of what the experiment will accomplish and by what means, i.e., Principal Instrumentation, Reaction Type, etc. Purpose Approach Each Procedure gets a sentence Reference Citations Background / theory citations Compound citations, i.e., CRC Handbook, Merck Index 10 5 Materials & Equipment A logically organized listing - in paragraph form of the procedures to be used. Use formal citation format Author(s), date, title, publisher, pages. Synthesized & identified compounds must also be referenced, including the page no. 5 List in Bullet Format, of the equipment & materials used in the experiment. Use two (2) columns: Materials Equipment 10 Description, in Bullet Format Each step in a separate bullet Use grammatically correct original language Procedure Descriptions Computations Usually set up as separate procedures. Equation is setup as part of procedure description. Theoretical Yield Applicable to experiments involving compound synthesis. 10 10 Set up equation & define the variables All calculations must be shown and must include data substitutions and applicable units. Results must reflect appropriate precision. Stoichiometric balanced reaction equation, molar ratio, reaction mechanism, limiting reagent, theoretical yield, summary table Results Observations, Measurements, Computations, Spectra results 10 Summary of Results 10 Paragraph summarizing all of the experimental results obtained. Analysis, Significance of Results, Conclusions 10 Construct logical arguments, using applicable background, theory, and experimental results to support any conclusions about the results. Literature Summary Table 5 Summary Table: literature and experimental values for principal reagents, synthesized compounds, or identified compounds. Total Points 100 Organize logically, neatly. Use aligned columns or small tables when appropriate. Includes spectra absorption summary. Dont crowd. Late Penalty Final Points Laboratory Report Grading Codes Lab Report (Pre-Lab & Final) Code Comment a Report not done, late, incomplete b Report Template not used, not typed c Header Info missing, incomplete d References missing, incomplete e Purpose/Approach missing, incomplete, weak f Procedure Descrip missing, incomplete, weak g Procedure Setup disorganized, ambiguous h Procedure Setup crowded, start on new page i Result Templates missing, incomplete j Reactions/Equations missing, incomplete Purpose Code Comment a Text grammar, sentence structure b Text wordy, overstated, superfluous c Text originality, use your own words d Elements omit background. approach items e Elements principal reaction/equipment missing f Elements missing, incomplete g Elements technically weak, incorrect h Elements disorganized, ambiguous Approach. Code Comment a Text not in paragraph format b Text grammar, sentence structure c Text wordy, overstated, superfluous d Text originality, use your own words e Elements each element in a separate sentence f Elements omit background, procedural details g Elements missing, incomplete h Elements technically weak, incorrect i Elements disorganized, ambiguous Reference Citations Code Comment Theoretical Yield Code Comment a Reaction Equation missing, incomplete, incorrect b Molar Ratio missing, incomplete, incorrect c Reaction Mechanism missing, incomplete, incorrect d Limiting Reagent missing, incomplete, incorrect e Theoretical Yield missing, incomplete, incorrect f Summary Table missing, incomplete, incorrect Results (Includes Tables, Charts & IR/NMR spectra) Code Comment a Template weak design, disorganized b Presentqtion messy, not typed c Results missing, incomplete d Results incorrect, ambiguous e Results redundant, misplaced f Tables, Charts missing, incomplete, incorrect g Spectra missing, incomplete, incorrect h Spectra Labels missing, incomplete, incorrect i Extraneous Info omit background, procedure items j Conclusions out of place, move to analysis Computations Code a Equation Setup ` b Variables c Data Substitution d Units e Units f Computation ` g Precision, Sig Fig Summary of Results Code Comment missing, incomplete, incorrect undefined, ambiguous missing, incomplete, incorrect missing, incomplete incorrect, ambiguous, incorrect missing, incomplete, incorrect incorrect Comment a Results missing, incomplete b Results incorrect, dont match report c Results disorganized, ambiguous d Results each result in a separate sentence a Reference Citation missing, incomplete e Text not in paragraph format b Reference Citation incorrect f Text grammar, sentence structure c URL Citation missing, incomplete g Text wordy, overstated, superfluous d Compound Citation missing, incomplete h Extraneous Info omit background, procedural details e Compound Citation incorrect i Conclusions out of place, move to analysis f Compound Citation page no., item no., missing Analysis, Significance of Results, Conclusions g Citation Source not citable (website, catalog) Code Comment Materials & Equipment (M&E) a Analysis missing, incomplete Code Comment b Analysis weak, incorrect a Format not in 2-column bullet format c Analysis disorganized, ambiguous b M&E items missing, incomplete d Analysis arguments incomplete, missing c M&E items mislabeled, incorrect e Analysis arguments lack support data f Analysis weak theory connection Procedures g Results repeat of summary of results Code Comment h Text grammar, sentence structure i Text wordy, overstated, superfluous a Procedure No. missing, incorrect j Extraneous Info omit, purpose, procedural details b Procedure Title missing, incomplete, incorrect c Procedure Title wordy, overstated Literature Summary Table d Procedures wrong procedure e Procedures disorganized, ambiguous Code Comment f Procedures missing, incomplete a Literature Summary Table missing, incomplete g Procedures need to be separated b Unknown No. missing, incorrect h Procedures need to be combined c Compound (IUPAC) Name missing, incorrect i Procedure Steps not in Bullet format d Compound Synonyms missing, incorrect j Procedure Steps missing, incomplete e Physical Properties missing, incorrect k Procedure Steps disorganized, ambiguous f Molecular Formula missing, incorrect l Procedure Text technically weak, incorrect g Structural Formula missing, incorrect m Procedure Text originality, use your own words h Report Template do not modify n Procedure Text grammar, sentence structure o Procedure Text wordy, overstated, superfluous p Extraneous Info omit analysis & conclusions Chemistry Lab Report - Computations 1. There is NO separate Calculations section. 2. Each computation is placed in the report as a NEW PROCEDURE A Computation Procedure is created as soon as all pertinent information needed for the calculation becomes available through prior experimental results and/or other computed results. 3. Each computation is to be setup as a separate procedure. The equation is setup along with variable definitions in the procedure description. The data substitution and final calculations are presented in the results section across from the description section. Appropriate units must be presented and the calculations must be carried out with correct precision. 4. The student must plan and design the results section to accommodate all of the anticipated results measured, observed, or computed - for a given procedure. New procedures should not be started until the previous procedure and associated results are completed. 5. Computations using results from two or more procedures should be grouped and presented in a separately titled procedure as soon as all of the pertinent data for the new computation is available. Chemistry Lab Report - Computations 6. Computation Setup a. In the Description box of the Procedure section provide a brief description of the equation and what it does. b. Set up the equation in the Equation Setup box of the Procedure Section. c. The equation setup should define the variables used in the equation and their logical relationship. d. In the Results box of the Procedure section show the values of the variables used in the equation and then substitute the values in the equation and make the final calculation. e. Show appropriate units. f. Report results to appropriate accuracy, i.e. correct number of decimal places and significant figures. Note: When multiple computations are done using the same Equation only ONE procedure is needed. If the equation changes then a NEW procedure is required. Chemistry Lab Report - Computations 7. Organic Chem Lab Algorithms Many of the Organic Laboratory Reports require the student to make computations for selected results. These include: 1. Mass of a reagent from the weight of the vial containing the reagent and the mass of the vial empty. Mass Vial Mass Vial Mass + Compound = 9.234g = 6.528g Compound = 2.706g 2. Mass of a liquid reagent (generally inorganic acids or bases) from the volume, density, and % composition. Mass (g) = Vol(mL) x Den(g/mL) x % comp/100 3. Moles of reagents from the Mass and Molecular Weight. moles = mass / mol wgt. 4. The Moles of a reagent can also be computed directly from the Volume and Molarity of the reagent, e.g. the Molarity of concentrated HCL is 12 moles/L moles = Vol(L) x Molarity (moles/L) Chemistry Lab Report - Computations 8. Limiting Reagent & Theoretical Yield The Limiting Reagent is that reactant whose mass (on a molar equivalent basis) actually consumed in the reaction is less than the amount of the other reactant, i.e., the reactant in excess. From the Stoichiometric balanced reaction equation determine the molar ratio among the reactants and products, i.e., how many moles of reagent A react with how many moles of reagent B to yield how many moles of product C, D, etc. The moles of product(s) will be the same as the limiting Reagent on a molar equivalent basis. If the ratio of moles of A to moles of B actually used is greater than the Stoichiometric molar ratio of A to B, then the A reagent is in Excess and the B reagent is Limiting. If, however, the actual molar ratio of A to B used is less than the Stoichiometric molar ratio, then B is in excess and A is Limiting. Example 1 A+BC Molar Ratio A:B = 1 Moles actually used: A = 0.345 B = 0.698 Ratio of moles actually used (A/B): 0.345/0.698 = 0.498 0.498 < 1.0 B is in excess) & A is Limiting Theoretical Yield of C = 0.345 moles Chemistry Lab Report - Computations 8. Limiting Reagent & Theoretical Yield (Cont) Example 2 - Molar Ratio 1:1:1 A + BC Stoichiometric Molar ratio A:B = 1 : 1 = 1.0 Moles actually used: A = 0.20 B = 0.12 Ratio of Moles actually used (A/B): 0.20 / 0.12 = 1.67 The ratio of A:B is greater than 1.00 A is in excess and B is limiting. Only 0.12 moles of the 0.2 moles of A would be required to react with the 0.12 moles of B. The reaction would have a theoretical yield of 0.12 moles of C (Molar Ratio of B:C = 1). Example 3 Molar Ratio 1:2:1 A + 2B C Stoichiometric Molar ratio A:B = 1 : 2 = 0.5 Moles actually used: A = 0.0069; B = 0.023 Ratio of Moles actually used (A/B): 0.0069 / 0.023 = 0.30 < 0.5 A is limiting Only 0.0069 2 = 0.0138 moles of the 0.023 moles of B are required to react with 0.0069 moles of A. Since 0.0138 < 0.023: B is in excess, A is limiting. The reaction would have a theoretical yield of 0.0069 moles of C (Molar Ratio of A:C = 1). Chemistry Lab Report - Computations 8. The Theoretical Yield Table (Cont) The Theoretical Yield, in grams, is computed from the number of moles of the Limiting Reagent, the Stoichiometric Molar Ratio, and the Molecular Weight of the product. Yield = moles (Lim) x Molar Ratio x Mol Wgt The Percent Yield of a product obtained in a Synthesis experiment is computed from the amount of product actually obtained in the experiment and the Theoretical Yield. % Yield = Actual Yield / Theoretical Yield x 100 Note: The yield values can be expressed in either grams or moles Chemistry Lab Report - Computations 9. Retention Time is the time from point of injection of a compound into a Gas Chromatograph to its elution from the column. For a given set of instrument conditions this time is constant for any given compound. Thus, it can be used to identify compounds in an unknown mixture when compared to a mixture of known compounds. The retention time can be computed using the chart speed and the distance from the start point on the chromatogram to the mid-point of the peak. Velocity = Distance / Time Retention Time = Distance / Chart Speed Chemistry Lab Report - Computations 10. Peak Area / Molar Content The Area of a peak in a Gas Chromatogram is proportional to the Mole content of the mixture. Thus, the ratio of the peak area of a given compound and the total area of all the peaks on the chromatogram gives the mole fraction of the compound. The Peak Area can be computed by the Triangulation Method, which is the height of the peak multiplied by the Width of the peak at 1/2 the height of the peak: Area = Peak Height x Width @ 1/2 peak height The Mole Fraction is computed by dividing the individual peak areas by the sum of peak areas in the chromatogram. Mole Fraction = Peak Area / Total Peak Area The Mole Percent is computed by multiplying the Mole Fraction values by 100. Mole % = Mole Fraction x 100 Chemistry Lab Report - Computations 11.Thermal Response Adjustments to GC Peak Areas Mixtures of compounds will produce GC peak areas proportional to the molar content. Thus, Equimolar mixtures of compounds should produce Gas Chromatography peaks of equal area. Similarly, mixtures of any known molar content will produce peak areas in direct proportion to the molar content. Compounds with different functional groups or widely varying molecular weights do not all have the same Thermal Conductivity. This causes the instrument to produce response variations, which result in peak areas that are not in direct proportion to the molar content. The peak areas, or as we will see, the Mole Percent, of a mixture of unknown Molar content can be adjusted based on the peak areas obtained from a mixture of similar compounds with a known Molar content. Chemistry Lab Report - Computations 11.Thermal Response Adjustments (Cont) Correction Factors (called Thermal Response Factors (TR) are computed as ratios of the area of one peak in the known mixture acting as the base peak to the area of each of the other peaks in the mixture. Where subscript s refers to the Base Peak and subscript i refers to each compound in the mixture. Note: There must be a least two compounds in the mixtures of interest. An unknown mixture of four (4) compounds must have access to Thermal Response data from a known mixture of the same compounds. The relationship between the peak areas of a mixture of compounds, the Molar Content, and the Thermal Response factors can be expressed as follows: area area moles = moles i s i s TR TR i s Since the Areas of the peaks in the unknown mixture can be obtained by measurement and the Thermal Response Factors are known from the known mixture, the new corrected molar ratios can be obtained by rearranging the above equation: moles moles i s = area area i s TR TR s i Chemistry Lab Report - Computations 11. Thermal Response Adjustments (Cont) Each of the Molei / Moles values in the mixture is equivalent to the individual areas (now corrected for the Thermal Response effect) that were used to compute the Total Area of the peaks prior to computing the Mole Fraction and Mole Percent without the Thermal Response correction. Therefore, by adding the Molei / Moles values to get a Total value, the new corrected Mole Fraction can be computed by dividing each of the Molei / Moles values by the Total value. The new Mole Percent values are then computed by multiplying the new Mole Fractions times 100. Example: Standard Equimolar Mixture Unknown Mixture EtAc / EtAc ProAc / EtAc BuAc / EtAc PenAc / EtAc EtAc (2) ProAc (3) BuAc (4) PenAc (5) 1.44 1.09 1.16 0.975 1b. TRs/Tri (s=2) 1.00 1.33 1.24 1.48 2a. Peak Area 2.14 2.18 2.12 1.54 2b. moli/mol2 1.00 1.35 1.23 1.07 3. molei percent 22% 29.0% 26.0% 23.0% 1a. Measured Peak Area = = = = mol2 / mol2 mol3 / mol2 mol4 / mol2 mol5 / mol2 = = = = area2 / area2 area3 / area2 area4 / area2 area5 / area2 moli/mol2 = mole % EtAc = mole % ProAc = mole % BuAc = mole % PenAc = TR2 / TR2 TR2 / TR3 TR2 / TR4 TR2 / TR5 = = = = 1.00 + 1.35 + 1.23 + 1.07 = 1.00 / 4.65 * 100 = 1.35 / 4.65 * 100 = 1.23 / 4.65 * 100 = 1.07 / 4.65 * 100 = 2.14 2.18 2.12 1.54 / 2.14 / 2.14 / 2.14 / 2.14 4.65 21.5% 29.0% 26.5% 23.0% 1.00 = 1.00 1.33 = 1.35 1.24 = 1.23 1.48 = 1.07 Chemistry Lab Report - Computations 12. Refractive Index The measured value of Refractive Index must be corrected to a standard temperature (usually 20oC) The Index of Refraction (ND) decreases with increasing temperature, i.e., velocity of light in the medium increases as density decreases. Measured values of (ND) are adjusted to 20oC For measured temperatures >20oC, the correction factor computed below is added to the measured value because the value at 20 oC would be greater than the value at the measured temperature. Corrections for measured values <20oC are subtracted from the measured value. Temp Correction Factor t * 0.00045 = (Room Temp 20) * 0.00045 The following equation automatically accounts for the measured temperature: ND20 = NDRm Temp + t * 0.00045 ND20 = NDRm Temp + (Room Temp 20) * 0.00045 Ex: For an observed value of 1.5523 at 16oC, the correction is: ND20 = = = = 1.5523 + (16 20) * 0.00045 1.5523 ( 4 ) * 0.00045 1.5523 0.0018 1.5505 IR /NMR Problem Set Notes 1. The Problem Set is a Powerpoint document that will be E-Mailed to each student. 2. The problem answers are to be completed, i.e., typed, in the shaded boxes provided. 3. Compound structures and materials not suitable for typing will be hand-entered in the shaded boxes. 4. Each problem consists of one or more parts, each of which has a shaded text box in which the student provides the required information. 5. In the Spectra problems, the student is expected to provide an analysis of the information provided for each part, i.e., Mass Spectrum, Partial Elemental Analysis, Ultraviolet/Visual Spectra, Infrared Spectra, 1 H1 (proton) NMR Spectra, 6C13 (Carbon-13) NMR Spectra. 6. The above results are then pulled together in a logical set of arguments leading to the identity of the compound, its molecular formula, and its structure. 7. The problem set counts as two (2) quiz grades. 8. See the next three (3) pages for notes on the analysis process. 9. Also check the Web Site documents on the IR and NMR lecture material. IR /NMR Problem Set Notes 10. Each problem provides several pieces of information to help in the identification process. a. IR Spectrum (Functional Groups) b. 1H1 NMR Spectrum (No., Type, Location of Protons) c. C6 NMR Spectrum (No. & Type Carbon atoms) 13 d. UV-Vis Molar Absorptivity (Molar Extinction Coefficient) & log Conjugate systems (alternating double bonds - , - Unsaturated ketones, Dienes, Polyenes) show values of & log in the range: = 10,000 100,000 (Log = 4 5) Aromatic Conjugated Systems show values of and log in the range: = 1000 10,000 (Log = 3 4) Carbonyl (C=O) compounds show values of and log in the range: = 30 300 (Log = 1.5 2.5) Nitro (-1ON+ =O) compounds show values of in the range: = <10 (Log < 1.0) IR /NMR Problem Set Notes e. Mass Spectrum with Molecular Ion Peak Molecular Ion Peak represents Molecular Weight. Molecular Ion peak values that are Odd indicate the presence of an Odd number of Nitrogen atoms in the compound. Two Molecular Ion peaks with a relative abundance ratio of 3:1 indicate presence of a single Chlorine atom. Two Molecular Ion peaks with a relative abundance ratio of 1:1 indicated presence of a single Bromine atom. e. Partial Elemental Analysis of the Compound The percentage values given represent the percent of the compounds Molecular Weight attributed to that element. Usually %Carbon & % Hydrogen is given. The molecular ion peak(s), molar absorptivity coefficient, and the principal functional groups from the IR spectrum provide the information necessary to identify any additional elements present in the compound. The remaining Molecular Weight after the Carbon and Hydrogen have been accounted for is divided among the remaining elements in the compound. IR /NMR Problem Set Notes f. Partial Elemental Analysis of the Compound (Cont) nx = Where: (%X) * (RMM) 100 * (RAM) nx = No. of Atoms of elements X in compound RMM = Relative Molecular Mass (Mol Wgt) RAM = Relative Atomic Mass of Element X Example Molecular Weight (RMM) % Carbon 62.0% % Hydrogen 10.4% = 58.0800 Mol Wgt C (RAM) 12.01 Mol Wgt H (RAM) 1.01 62.0 * 58.08 36.01 No. C = = = 2.998 3 100 * 12.01 12.01 10.4 * 58.08 6.04 No. H = = 100 * 1.01 1.01 = 5.981 6 Now compute the remaining mass of the molecule after accounting for Mass of Carbon and Hydrogen 58.08 (36.01 + 6.04) = 16.03 ~ 16 1 Oxygen Molecular Formula C3H6O Approximate Numbers and Significant Digits Some numbers are Exact or Pure, i.e., having been defined or counted. Examples: 3 Cherries, 125 People, 50 Measurements, 16 oz in a pound Most numbers involved in technical and scientific work are obtained through some process of measurement. All measurement processes are imprecise, i.e., only approximations of the true values. The precision of an instrument dictates the relative accuracy of the values that can be reported, i.e., the number of significant digits. The precision of a number refers directly to the position of the last significant digit relative to the decimal point. All none zero digits are significant. Zeros other than those used as placeholders for proper positioning of the decimal point, are also significant. There is uncertainty in the last significant digit. For example: A person records his weight on a scale to be 160 lbs. The last zero is a placeholder and is not significant. Thus, the 6 has uncertainty. His true weight could be 158 lbs, 161 lbs, 159.4 lbs, 160.0 lbs. etc. When multiplying or dividing groups of measured values the answer will have the same number of significant digits as the least accurately known number. When adding or subtracting numbers, the answer is significant only to the fewest number of decimal places contained in any of the numbers being added or subtracted, i.e. significant to the least precise number. Number Significant Digits 9600 2 20004 4.0006 0.0709 6.000 5 5 3 4 0.0005 1 1.07 1.070 3 4 700.00 5 No decimal point; therefore last two zeros are not significant, i.e., placeholders. The uncertainty is in the last significant digit, i.e. the 6 Five significant figures; the 3 zeros are significant; the 4 has uncertainty. 5 significant figures; precision is defined to the fourth decimal 3 significant figures; the zero after the decimal is a placeholder Precision is defined to the third decimal, thus all zeros here are significant. The uncertainty is in the last zero Zeros to the right of the decimal are used as placeholders for decimal point Precision is defined to the fourth decimal. Precision defined to the second decimal; thus all digits significant Precision is defined to the third decimal; thus all 4 digits are significant. The uncertainty is in the last zero Precision is defined to the second decimal, thus all five digits are significant 25 x 11.7 = 290 not 292.5 16.5 / 3.780 = 4.37 not 4.3651 4.65 + 3.8906 = 8.54 not 8.5406 Citing Chemical References References: 1. CRC, Handbook of Chemistry & Physics, 1999-2000, 80th Edition, ed. D, Lide, Boca Raton, Fl: CRC Press, Inc. 2. CRC, Handbook of Data on Organic Compounds, Vol I, A-O, 1987, eds. R.C. Weast, and M.J. Astle, Boca Raton, Fl: CRC Press, Inc. 3. CRC, Handbook of Data on Organic Compounds, Vol II, P-Z, 1987, eds. R.C. Weast, and M.J. Astle, Boca Raton, Fl: CRC Press, Inc. 4. Merck & Co., Inc. The Merck Index, 1996, 12th edition, Eds. S. Budavari, M.J. ONeil, A. Smith, P.E. Hechelman, and J.F. Kinneary, Whitehouse Station, N.J.: Merck & Co. Inc, 1996 5. Dean, J.A., ed. Langs Handbook of Chemistry, 14th ed. New York; McGraw-Hill, 1992 6. Sadler Research Labs, Sadler Standard Spectra, Philadelphia 7. Pouchert, C.J., Aldrich Library of IR, FT-IR, H1 and C13 NMR Spectra, Milwaukee: Aldrich Chemical Company (Note Several publications here) Note: When citing a reference for a specific compound, include the page number where you found the compound. Online Sources Note: These resources are not citable as formal references 1. http://riodb01.ibase.aist.go.jp/sdbs/cgi-bin/direct_frame_top.cgi (The above site provides Mass, IR, Proton & C-13 NMR Spectra) 2. http://chemfinder.cambridgesoft.com 3. http://www.chemexper.com 4. http://webbook.nist.gov/chemistry 5. (Chemical Properties) http://www.wsu.edu Chemistry Department Web Sites 1. 2. 3. 4. http://classweb.gmu.edu/jschorni http://gmu.edu/acadexcel/findex.html http://classweb.gmu.edu/chemlab http://classweb.gmu.edu/chemlab/315/315expts.htm (Dr. Schornick Web Page) (Department Web Page) (Organic Chemistry) (Chem 315 Lab) 5. http://classweb.gmu.edu/chemlab/318/318expts.htm (Chem 318 Lab) 6. http://chem.gmu.edu/results/ (General Chemistry Lab)
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George Mason - CHEM - 211L
Density of SolutionsNext Week Sept 25, 2003Experiment:Empirical Formula of Zinc IodideReferences:Slayden, S, Chem 211, 212, 251 LaboratoryExperiments, 2003, pp. 31 35http:/chem.gmu.edu/results Click on EmpiricalFormulahttp:/classweb.gmu.edu/jscho
George Mason - CHEM - 211L
Hesss Law Heat of Reaction Enthalpy A State of Matter Function Enthalpy Change ( H) in a chemical reaction is the difference between the Heat Contents of the products and the reactants. ( H)rxn = ( H)products - ( H)reactants ( H) associated with a chemica
George Mason - CHEM - 211L
The Ideal Gas lawThe Ideal Gas LawThis experiment is not in the Slayden lab manualThe instructions for this experiment can be found on theGenchem Website:http:/chem.gmu.edu/resultsUnder Chem 211 Handouts click on:Gas Law HandoutGas Law Lab Instruc
George Mason - CHEM - 211L
Chem 211 Laboratory Next Week Oct 2, 2003 Experiment: Synthesis of Aspirin References: Slayden, S, Chem 211, 212, 251 Laboratory Experiments, 2003, pp. 57 - 66 http:/chem.gmu.edu/results Click on Synthesis of Aspirin http:/classweb.gmu.edu/jschorni/chem21
George Mason - CHEM - 211L
VSEPR Theory &amp; Molecular ModelingPurpose- To understand, visualize, and predict the spatialarrangement of molecular shapes.Approach - Use Lewis Dot diagrams, Ball &amp; Stick models, and theValence Shell Electron-Pair Repulsion (VSEPR) theory toconstruc
George Mason - CHEM - 211L
General Chemistry 211 LaboratoryNext WeekExperiment - Density of SolutionsLab Manual - p. 23-29Quiz- Material in Lab Manual and Web SitePrelab- Density ExperimentLab Report- Measurements (Pennies) Experiment is dueMeasurements The Penny Experime
George Mason - CHEM - 211L
Volumetric Analysis - Titration of VinegarVolumetric AnalysisThe quantitative determination of the concentration of one substanceby titration against a substance of known concentration.TitrationA solution of known concentration (the standard) is adde
George Mason - CHEM - 315
IsolationofCaffeineOverviewExtractionofCaffeinefromVivarin,anoverthecountercaffeinetabletAnaqueousVivarin/SodiumCarbonatemixtureisextractedwithDichloromethane(MethyleneChloride)AfterevaporationtodrynesstheproductisrecrystallizedfromAcetone/Petroleu
George Mason - CHEM - 315
SynthesisofCyclohexeneSynthesisofanAlkenebyDehydrationofanAlcoholviaE1(Elimination)MechanismSolomans&amp;Fryle: pp29730204/22/121E1SynthesisofCyclohexeneBackgroundAnEliminationreactionisatypeoforganicreactioninwhichtwosubstituentsareremovedfromamole
George Mason - CHEM - 315
GasChromatographyAcetates04/22/12GasChromatography,RefractiveIndex&amp;Distillation Thenexttwo(2)experimentsintroduceGasChromatographyandSimple&amp;FractionalDistillation. TheyarethentiedtogetheralongwiththeRefractiveIndextechniqueinathirdexperiment.ThisWe
George Mason - CHEM - 315
SpectroscopyBuildingAToolsetForTheIdentificationofOrganicCompoundsPhysicalChemical TestsPropertiesHydrocarbonsMelting PointAlkanesBoiling PointAlkenesDensityAlkynesSolubilityHalidesRefractive IndexAlcoholsAldehydesKetones04/22/12Spect
George Mason - CHEM - 315
InfraredSpectroscopy(IR)LabInfraredSpectroscopyIdentificationofUnknownTheuseofselectedphysicalpropertiesandInfraredSpectroscopytodeterminetheidentityofanunknowncompound.TextMaterialsSlayden pp.3344Pavia pp.851885`(InfraredSpectroscopy)pp.941959(
George Mason - CHEM - 315
GenChem/Organic Chemistry LaboratoryDepartment OfficeRoom343 Science &amp; Technology IMSN3E2Phone703-993-1070FAX703-993-1055Dr. James C. SchornickOfficeRoom 318 Science &amp; Technology IMailboxRoom 343 Science &amp; Technology IPhone703-993-1091E-M
George Mason - CHEM - 315
OrganicQualitativeAnalysisPhysicalProperties,ChemicaltestsandInfraredSpectroscopytoIdentify:UnknownHalide (primary,secondary,tertiary)HydrocarbonAlcohol(alkane,alkene,aromatic)(primary,secondary,tertiary)References:Slayden,S.,Stalick,W.;2010,Cata
George Mason - CHEM - 315
Experiment:Date:Grignard ReagentNamePartnersCourseSectionDrawer No.Laboratory Report Template InstructionsThe first 7 pages of this document contain hints &amp; instructions for using thetemplate and formatting the report. Delete these pages and any
George Mason - CHEM - 315
Recrystallization/FiltrationecrystallizationPurificationofanorganiccompoundbydissolvingasolidinahotsolventandrecrystallizingthecompoundbyslowcoolingacuumFiltrationSeparationofthesolidsolutefromaliquidsolventReferences:Slayden,et.al.,pp.2931PaviaT
George Mason - CHEM - 315
Simple&amp;FractionalDistillationExperimentSimple&amp;FractionalDistillationEvaluationoftherelativeeffectivenessofSimple&amp;FractionalDistillationtoseparatemixturesoforganiccompoundsbasedondifferencesinBoilingPointDeterminationofMole0romDistillateVolumeData,Gas
George Mason - CHEM - 315
TButyl(tPentyl)ChlorideSynthesisSynthesizetButyl(ortPentyl)ChlorideNote:ThisexperimentmayutilizeeithertButylAlcohol(m.p.25.7oC)ortPentylAlcohol(m.p.9.5oC)asoneofthestartingreactants.TextReferencesSlayden PaviaExp#21PaviaTech1204/22/12pp.4950p
George Mason - CHEM - 318
SynthesisofAcetanilideSynthesisofAcetanilideNucleophilicAcylSubstitution(addition/elimination)reactionbetweenAnilineandAceticAnhydrideReferencesPaviaSchornick http:/classweb.gmu.edu/jschorni/chem31804/22/12 p.65681SynthesisofAcetanilideOvervie
George Mason - CHEM - 318
Aldehydes&amp;KetonesClassificationTestsTheuseofChemicalClassificationTests,SelectedPhysicalProperties,NMR,andIRtoIdentifyanUnknownAldehydeorKetoneReferences:Pavia04/22/12Slayden p.7376WebNoteshttp:/classweb.gmu.edu/jschorni/chem318p.4914961Aldehy
George Mason - CHEM - 318
ElectrophilicAromaticSubstitution(BrominationofToluene)Demonstrationoftheeffectofamonosubstitutedelectrondonargroup(ringactivator)onsubsequentsubstitutionofothergroupsontheBenzeneringReferences04/22/12SlaydenLabManual p.7576Website:http:/classweb
George Mason - CHEM - 318
SynthesisofDibenzalacetoneSynthesisofDibenzalacetoneMixedAldolCondensation(ClaisenSchmidt)reactionbetweenAcetoneandBenzaldehydeinthepresenceof95%Ethanoland20%SodiumHydroxideReferences:Pavia04/22/12Slayden p.77Schornick http:/classweb.gmu.edu/jsch
George Mason - CHEM - 318
FriedelCraftsAlkylationPurposePreparationof4,4ditertbutylbiphenylusingtheFriedelCraftsalkylationofBiphenylthroughElectrophilicsubstitutionofaLewisBase(tButylChloride(Haloalkane)inthepresenceofFerricChlorideactingasaLewisAcidReferences:Website:http
George Mason - CHEM - 318
GrignardReagent/ReactionsPreparationofaGrignardReagent(Phenylmagnesiumbromide)andreactionwithCarbonDioxidetoformBenzoicAcidthroughanElectrophilicAdditionreactionReferences:Pavia - p. 303 309; 313 314Schornickhttp:/classweb.gmu.edu/jschorni/chem318
George Mason - CHEM - 318
SynthesisofIsopentyl(Amyl)AcetateEster(BananaOil)OverviewSynthesisAcid(H2SO4)catalyzedFischerEsterificationreactionofaCarboxylicAcid(AceticAcid)withtheHydroxylgroupofanAlcohol(Isopentyl[amyl]Alcohol).ThisisaCondensationreactionwherethemoleculesbecom
George Mason - CHEM - 318
NitrationofMethylBenzoateDemonstrationoftheeffectofanelectronwithdrawinggrouponamonosubstitutedbenzeneringonsubsequentsubstitutionofothergroupsontheBenzeneringReferences:04/22/12Pavia,etal. pp352357Slayden,etal. pp67691NitrationofMethylBenzoate
George Mason - CHEM - 318
Organic Chemistry LaboratoryBuildingAToolsetForTheIdentificationofOrganicCompoundsPhysicalPropertiesMeltingPointBoilingPointDensitySolubilityRefractiveIndex04/22/12ChemicalTestsHydrocarbonsAlkanesAlkenesAlkynesHalidesAlcoholsAldehydesKe
George Mason - CHEM - 318
SpectroscopyExperiment(NMR)DeterminationoftheIdentityofanunknownorganiccompoundusingselectedphysicalproperties,InfraredSpectroscopy,andNMRSpectroscopyUnknownList:pp.126127inSlaydenLabManualReferences Slayden,etal.pp.5960 Pavia,etal. Schornick04/
George Mason - SYST - 220
George Mason - SYST - 220
Log to base 10 usedpage 26xyXlogx12345.119.5467800.301030.4771210.60206Ylog yXYX^2y hat(y-yhat)^2 (y-ybar)^20.70757005.0231.290035 0.388339 0.090619 19.815391.662758 0.793337 0.227645 44.224531.892095 1.139154 0.362476 78.170
George Mason - SYST - 220
SYST 220 Class NotesLecture 1: Discrete Dynamical Models Introduction to ModelingMain point: Similar set of mathematical equations can be used to solve diverse range of real-worldproblemsDiscrete Dynamical Systems ModelingDiscrete: Time is measured i
George Mason - SYST - 220
SYST 220Class NotesLecture 2: Discrete DynamicalReviewword problemdynamical system: a (n + 1) = f (a (n )solve using spreadsheetcobweb analysisfind equilibrium a = f (a )Terminologya (n + 1) = f (a (n ) , First order dynamic systema (0 ) = a 0
George Mason - SYST - 220
SYST 220 Class NotesLecture 3: Discrete Dynamical ModelsReviewAffine system: a (n + 1) = ra (n ) + bSolution isa (n ) = Cr n +b1 requilibrium rn blows up if rn goes to 0 ifr &lt; 1 (stable) rn oscillates ifSolution isr &gt; 1 (unstable)r = 1 (mar
George Mason - SYST - 220
SYST 201 Class NotesLecture 4: Discrete Dynamical ModelsNon-homogeneous Dynamic Systems: Exponential Driving TermsNon-homogeneous Dynamic SystemsSystems so far: a (n +1) = ra (n) + bThis chapter: a (n +1) = ra (n) + g ( n)g(n) can be thought of as a
George Mason - SYST - 220
SYST 220 Class NotesLecture 5: Discrete Dynamical ModelsNon-homogeneous Dynamic Systems: Exponential Driving TermsSection 4.1 (p.160)1 1. Problem Statement:Given: a) a(n +1) = 2a(n) +3nd) a(n+1) = 2a(n) + 3n + 4nf) a(n+1) = 3a(n) +2 * 4n- 6General
George Mason - SYST - 220
Lecture 6: Discrete Dynamical ModelsSecond-order systemsA second-order system is a system in which the present state of the system depends uponthe previous two system states.Example: a (n) = - 3.5a (n - 1) + 2a (n - 2)Note: This system is also equiva
George Mason - SYST - 220
1.26 1.12 (new book)1.33 1.19 (new book)1.42 1.25 (new book)1.43 1.26 (new book)
George Mason - SYST - 220
3.2 a3.4 b Roots are -5 and -5 Steady part is 3 There are 2 exponential terms for the transient part 3.5 c Complex roots with positive real part. UNSTABLE 3.6 b or 3.9 b (new book)
George Mason - SYST - 220
SYST 220: Dynamical Modeling ISpring 2012Systems Engineering and Operations ResearchGeorge Mason UniversityCourse Overview: An important problem in engineering is to predict the behavior of systems thatchange in time. Such systems are called dynamica
George Mason - OR - 649
Meta heuristics Final exam: Due May 9th1) Solve the TSP with GA. Distance in hundreds of miles. Generate an initial population ofsize 3. Use one point cross over and 1 mutation per iteration. Perform at least 5 iterationsNYMiami DallasChicagoNew Yor
George Mason - OR - 649
Metaheuristics Meta Greekwordforupperlevelmethods Heuristics Greekwordheuriskein artofdiscoveringnewstrategiestosolveproblems. ExactandApproximatemethods Exact MathprogrammingLP,IP,NLP,DP Approximate Heuristics Metaheuristicsusedfor Combinatoria
George Mason - OR - 649
MetaheuristicsMeta- Greek word for upper level methodsHeuristics Greek word heuriskein art of discoveringnew strategies to solve problems.Exact and Approximate methodsExactApproximateMath programming LP, IP, NLP, DPHeuristicsMetaheuristics used f
George Mason - OR - 649
MetaheuristicsThe idea: search the solution space directly. No mathmodels, only a set of algorithmic steps, iterative method.Find a feasible solution and improve it. A greedy solutionmay be a good starting point.Goal: Find a near optimal solution in
George Mason - OR - 649
NeighborhoodRepresentation of solutionsVector of Binary values 0/1 Knapsack, 0/1 IP problemsVector of discrete values- Location , and assignment problemsVector of continuous values on a real line continuous,parameter optimizationPermutation sequenci
George Mason - OR - 649
Escaping local optimasAccept nonimproving neighborsIterating with different initial solutionsMultistart local search, greedy randomized adaptive searchprocedure (GRASP), iterative local searchChanging the neighborhoodTabu search and simulated anneal
UC Davis - CHI - 10
Welcome /BienvenidosDr. Lorena V. MarquezIm sitting in My HistoryClass,Im Olivas,Richardsitting in my1989history class,The instructorcommencesrapping,Im in my U.S.History class,And Im on theverge of napping.The MayflowerThe History of Chica
George Mason - OR - 649
Escaping local optimasAccept nonimproving neighborsIterating with different initial solutionsMultistart local search, greedy randomized adaptive searchprocedure (GRASP), iterative local searchChanging the neighborhoodTabu search and simulated anneal
UC Davis - CHI - 10
TheSpanishConquest,1500sBirthofMestizoNation?Conquest:Istheacquisitionofaterritoryanditsinhabitantsthroughwar.Itisaninstitutionthatrequiresenforcinglabor/economicsystems;usurpingoflocalpoliticsandgovernments;andimposingpowerthroughreligion,culture
George Mason - OR - 649
Escaping local optimasAccept nonimproving neighborsIterating with different initial solutionsMultistart local search, greedy randomized adaptive searchprocedure (GRASP), iterative local searchChanging the neighborhoodTabu search and simulated anneal
UC Davis - CHI - 10
Pre-Columbian CivilizationsPopular Image of AztecsIztacchuatl (female) and Popocatptl (male)Bering Strait Ice Bridge Melted, 9000BCIndigenous Diet: Corn, Beans, Chili, andSquashCivilizationIs where people live in large complexagricultural groups w
George Mason - OR - 649
Escaping local optimasAccept nonimproving neighborsIterating with different initial solutionsMultistart local search, greedy randomized adaptive searchprocedure (GRASP), iterative local searchChanging the neighborhoodTabu search and simulated anneal
UC Davis - CHI - 10
American Conquest:A Quest for Manifest DestinyMiguel Hidalgo y CostillaMexican War of Independence,1810-1821What to do with MexicosNorthern Frontier? Increase Population Increase Trade Increase ProductionThe Alamo, 1836Richard Henry Dana, Jr.
George Mason - OR - 649
Population-based metaheuristicsNature-inspiredInitialize a populationA new population of solutions is generatedIntegrate the new population into the current one usingone these methods by replacement which is aselection process from the new and curre
UC Davis - CHI - 10
New Spain, 1500s-1800sNorthern FrontiersRomanticismRealistic Padre JaimeSeven Cities of CibolaAn 1898 painting by Frederic Remington portrays Spanishexplorer Francisco Vazquez de Coronado on his ill-fatedquest in 1541 to find the fabled Seven Citi
UC Davis - CHI - 10
An End of an Era:American Conquest in CaliforniaTreaty of Guadalupe Hidalgo, 1848Article VIII:In the said territories,property of every kind, nowbelonging to Mexicans notestablished there, shall beCalifornia Land GrantsPio Pico, Last Mexican Gove
George Mason - OR - 649
Population-based metaheuristicsNature-inspiredInitialize a populationA new population of solutions is generatedIntegrate the new population into the current one usingone these methods by replacement which is aselection process from the new and curre
UC Davis - CHI - 10
TheCalltoRemembertheAlamo:TexasintheAftermathoftheMexicanAmericanWarCottonbalesonMatamoroswharfarrivedacrosstheRioGrandefromBrownsville,TexasPreemptionLawsRunawaySlaves,EscapetoMexicoLynchLaw,WidespreadintheSouthwestAntonioRodriguezlynchedforalleg
George Mason - OR - 649
Population-based metaheuristicsNature-inspiredInitialize a populationA new population of solutions is generatedIntegrate the new population into the current one usingone these methods by replacement which is aselection process from the new and curre
UC Davis - CHI - 10
EthnicMexicanCommunities:CarvingoutSafehavens,18701920Thefirstmovietheaterbuiltinabarrio,Phoenix,AZ.FromPueblostoBarriosMexicanWomen,SantaBarbara,CA,1880Barrioization TheformationofresidentiallyandSociallysegregatedChicanobarriosorneighborhoodsM
George Mason - OR - 649
Reservation SystemsParallel machine environment with n jobs and mmachinesThe processing time of the job has to fit within a timewindow and there may or may not be slackIn an assignment problem there is no time window concept andtypically there are e
UC Davis - CHI - 10
Revolution, Mass Migration, &amp;Identity FormationImmigrants fleeing the Mexican Revolution, 1910Push/ Pull ModelThe push factor involves a force which actsto drive people away from a place and thepull factor is what draws them to a newlocation.U.S.