Group 3 - Micronutrient Report
PANTOTHENIC ACID (Vitamin B5)
Chemical Composition: C9H17NO5
Also as known as vitamin B5
Found in all living cells in the body
An essential nutrient
Name is derived from the Greek word
pantothen, meaning "from everywhere,"
s
Trace Minerals: Iodine, Selenium, Fluorine, Chromium, Molybdenum, Manganese
IODINE (I2)
O Only 5-30% of iodine you need
Present in food as iodide (I)
The heaviest element needed for human health
and is responsible for only one function in the
body, the sy
Group 5
IRON
movement of electrons either along the
ETC or as part of an enzyme reaction.
FUNCTIONS IN THE BODY
Iron plays an important role in many parts of
the body, namely:
immune function;
cognitive development;
temperature regulation;
energy metaboli
Group 7
Water and Electrolytes
WATER
A. Water
Water is an essential nutrient all on its own, as the body requires it in amounts that
exceed the bodys ability to produce it.
All biochemical reactions occur in water.
It fills the spaces in and between ce
Dramatic Play
-past experiences based
2. Do not allow too much elapse between original
experiences and follow up dramatic play
3. Set the safe with few simple but fairly realistic
props
4. Do not overplan; must be flexible
5. Start role playing by taking
Recommendations
Although LiBr-H2O and NH3-H2O have been commonly used for many years and their
properties are readily available, much extensive research has been carried out to explore new
working fluids. Fluorocarbon refrigerant-based working fluids have
First Exam Coverage
ES 21 Notes
MATRICES
D.
Definition
A matrix is a rectangular array of numbers or functions
arranged in rows and columns usually designated by a
capital letter and enclosed by brackets, parentheses or
double bars. A matrix may be denote
First Exam Coverage
ES 21 Notes
MATRICES
c1
c
.2
.
C .
ci
.
.
c
m
Definition
A matrix is a rectangular array of numbers or functions
arranged in rows and columns usually designated by a
capital letter and enclosed by brackets, parentheses or
I. MATRICES
A matrix is a rectangular array of numbers, equations or functions arranged in rows and columns. By
convention it is denoted by capital letters and the elements are enclosed in square brackets.
[
]
The size of a matrix is given by the number o
ChE 106 LE 1 Answer Key
1. Conceptual problems
I.
Inverse of the transpose
Properties to use:
1. A1 A = I
2. () =
3. I = I
(A )1 = (1 )
(A )1 A = (1 ) A
I = (1 )
I = I
I=I
II.
Determinants
i.
a) 2. The minor with the highest degree of determinant is [ .]
Compiled Problems in Matrices
1. Red, blue, and yellow marbles are placed in 3 separate bags, all of which weigh at 780 kg per
bag. Thrice the number of red marbles plus half of the blue marbles are less than twice the
number of yellow marbles by 22. 75%
University of the Philippines
Department of Chemical Engineering
ChE 106
Linear Systems: Application Examples
1. Aris(1965) developed a technique of writing simultaneous chemical reactions in the form
of linear algebraic equations. For example, the follow
THEOREMS ON
DETERMINANTS
ChE 106 Mathematical Methods in Chemical Engineering
1st Semester AY 2014-2015
ChE
106
Mathematical
1st Semester
AY 2014-2015
Engr.
Kristian
July R. YapMethods in Chemical Engineering
University of the
Philippines
Diliman
THEOREM
University of the Philippines
College of Engineering
DEPARTMENT OF CHEMICAL ENGINEERING
Chemical Engineering 106
Long Exam 1
Instructions:
o Show complete solution, state all assumptions (if any) and simplifications.
o Start each problem in a new page.
o
ChE 106 TBC/HQR & TDE/HUV
Problem Set
Deadline: 01 September 2015 (in class)
Show your complete solution to the following items. Use the specified method in your evaluations.
EVALUATION OF DETERMINANTS
Showing the details, evaluate:
4 1 8
1.
0
0
2
0
3
5
2
ChE 106 Mathematical Methods in Chemical Engineering
PRACTICE PROBLEMS 01
1.
Using Theorems on Determinants, prove the following:
2a
2b
2b
2a
a+b a+b
2.
bc
2
a + c = 2 ( a b ) ( a + b )
b
Figure 1 (below) depicts a chemical exchange process consisting of
ChE 106 Mathematical Methods in Chemical Engineering
HOMEWORK 03
1.
Three sons were asked by their mommy as to what they want to have this Christmas. The youngest thought
of a BMW but the eldest son said, Mom wont like that! (meaning, their mom could not
ChE 106 Mathematical Methods in Chemical Engineering
HOMEWORK 02
1.
Given the following matrices:
3 5 2
A = 0 1 6
7 0 4
a.
b.
2.
2 1
B = 8 0
4 5
7 1 0
C=
4 3 2
Find A A 1 BC + A 2 I n A . Specify the size of In. Label the resulting matrix as Matrix
ChE 106 Mathematical Methods in Chemical Engineering
HOMEWORK 04
1.
Find the solution to the given system of linear equations using
a) Gaussian Elimination
b) Gauss-Jordan Reduction
a
+ c
=4
3a + 2b + 3c + 2d = 24
3b + 2c + 3d = 24
2a
2.
+ 5c + 2d = 21
Us
ChE 106 Mathematical Methods in Chemical Engineering
SEATWORK 02 (with answers)
1.
Given:
x+ y
3x
2y
A = xy
1 xy
x + y + 1 3x 2 y + 1
2
0 0
B= x
1 0
x y y 1
2 x + 1 3 y + 3 x y
C= 1
3 y
x
4x
6
2 y
Solve for AB + C using only the Theorems on De
ChE 106 Mathematical Methods in Chemical Engineering
HOMEWORK 04 (with answers)
1.
Find the solution to the given system of linear equations using
a) Gaussian Elimination
b) Gauss-Jordan Reduction
+ c
a
=4
3a + 2b + 3c + 2d = 24
3b + 2c + 3d = 24
2a
a 1
POWER CYCLES
John Andrew Kane P. Jovellana
ChE 122: Chemical Engineering
Thermodynamics I A.Y. 2016-2017
DEPARTMENT OF CHEMICAL ENGINEERING
University of the Philippines Diliman
Vapor Power Cycles
The working fluid is alternatively vaporized and
condense
PRODUCTION
OF POWER FROM HEAT
John Andrew Kane P. Jovellana
ChE 122: Chemical Engineering
Thermodynamics I A.Y. 2016-2017
DEPARTMENT OF CHEMICAL ENGINEERING
University of the Philippines Diliman
Outline
The Steam Power Plant
Internal Combustion Engines
ChE 122 Chemical Engineering Thermodynamics I
Describe and analyse power cycles involving steam and other
vapour-liquid systems
Describe and analyse gas power cycles
Identify how improvements can be implemented in these
systems using thermodynamic anal
SECOND LAW OF
THERMODYNAMICS
OPEN SYSTEMS ENTROPY BALANCE
John Andrew Kane P. Jovellana
ChE 122: Chemical Engineering
Thermodynamics I A.Y. 2016-2017
DEPARTMENT OF CHEMICAL ENGINEERING
University of the Philippines Diliman
Outline
Entropy Balance for Ope
University of the Philippines
College of Science
PHYSICS 73
2nd Long Problem Set A
2nd semester
AY 2011 - 2012
INSTRUCTIONS: Choose the best answer and shade the corresponding circle in
your answer sheet. To change your answer, cross-out and sign your ori
'
Physics 73 A1 (BERNARDO)
Lecture Review
(october 14,2016)
tNSfRUCflONS: Encircle
1.
Name: Q.a*,y
the letter corresponding to the best answer.
You like this? Which of the following statements is TRUE?
lf events A and B are timelike-separated, then they w
REVIEW FOR ChE 122
SECOND LONG EXAM
John Andrew Kane P. Jovellana
ChE 122: Chemical Engineering
Thermodynamics I A.Y. 2016-2017
DEPARTMENT OF CHEMICAL ENGINEERING
University of the Philippines Diliman
Problem 1 Sonntag Problem 8-100
A 1-m3 insulated, rigi