chbe2120fall2009finalExam

chbe2120fall2009finalExam - CHBE 2120 Final Exam, Fall 2009...

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CHBE 2120 Final Exam, Fall 2009 2:50 PM – 5:40 PM, December 8, 2009 By signing below, I am agreeing to abide by the rules of this exam and by the Georgia Tech Honor Code. In particular, I agree to use no printed materials other than a single 8.5x11” sheet of paper with notes on both sides, and I will only use standard scientific functions on my calculator (I will not use any programmable or graphing functions on my calculator). Name: _________________________________ Signature: ______________________________ Write your answers in the spaces provided. Blank paper is available for scratch work. If you need additional room for your answers, staple extra sheets to the exam and clearly indicate the problem numbers for your solutions. In problems that ask for a specific calculated value, highlight your solution with a box. Note the credit will not be given for calculated results that are correct if incorrect reasoning for that result is used. You must turn off all cell phones and other wireless devices for the duration of the exam . (for instructor use) Part A 20 points Part B 5 points Part C #1 12 points Part C #2 20 points Part C #3 25 points Part C #4 18 points Part C #5 15 points Part C #6 31 points Part C #7 4 points TOTAL (MAX. 150)
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Supplementary Information You may find some of the information on this page helpful in solving problems on the exam. Chemical Engineering Plant Cost Index 2004 2005 2006 2007 2008 2009 444.2 468.2 499.6 525.4 575.4 532.3 Marshall & Swift Equipment Cost Index 2004 2005 2006 2007 2008 2009 1179 1245 1302 1373 1432 1478 The inverse of a matrix ܾܽ ܿ݀ is: ିଵ 1 ܽ݀ െ ܾܿ ݀െ ܾ െܿ ܽ Normal distribution tables and t distribution tables have also been included in this exam packet.
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Part A. Select the best answer for each question. (2 points each; 20 points total) 1) Between calculating a matrix inverse and performing Gaussian Elimination, which approach is generally faster for the same problem? a) Matrix inverse b) Gaussian elimination c) About the same d) Unknown; the computational complexity of each is indeterminate 2) Calculate the computational complexity of the number of multiplications that would be performed by the following snippet of Matlab code. for i=1:n for j=3:m if (i <= n) num = num * 2; end end end a) O(n) b) O(n 2 ) c) O(nm) d) None of the above/not enough information provided 3) Stiffness in a system of differential equations is generally associated with: a) Terms with coefficients that are different orders of magnitudes b) Physical processes that occur on different time scales c) Both A and B d) None of the above 4) You use the implicit Euler approach to solve the following ODE: ݕ ᇱᇱ ሺݔሻെݕ ሺݔሻݕሺݔሻ൅expሺݐሻൌ0 At each step, this would require you to find: a) The solution of a linear system of equations b) The solution of a nonlinear system of equations c) The eigenvalues of a matrix d) None of the above/not enough information provided
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5) You are designing a plant that will use a single-train process to produce a chemical product.
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chbe2120fall2009finalExam - CHBE 2120 Final Exam, Fall 2009...

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