Name: _
Score _
BME 100L Exam 1
Fall 2007
1. A sample consisting of 3 mol of a pure perfect gas is heated at a constant external pressure of 1 bar. Assume CV,m = 3.5R. The expansion is mechanically reversible; and there is no additional work on the gas. T
Homework 2
Feb. 1, 2007
2.
a.
efficiency = w = 0.75 q1 q1 = 133.3 kJ
Also, efficiency = 1 + q3 = 0.75 q1 q3 = 33.3 kJ
The negative sign of w means the system does work on surroundings. The positive sign of q1 means heat enters into the system f
Homework 3
Feb. 8, 2007
1.
a.
By using the dilute solution standard states, K= [G1P][ADP] [G][ATP] 104 = 770 3 10 = 77.0
where G1P and G refer to glycerol1phosphate and glycerol, respectively. G0 = RT ln K = 8.314 298 ln 77 = 10.76 k
Ch85
a.
MichaelisMenten equation shows that d[P ] k2 [E]0 [S] = dt KM + [S] When [S] = 0.1 M and [E]0 = 1.0 105 M at 280 K, d[P ] 100 1 105 0.1 = = 1 103 Ms1 . dt 1 104 + 0.1
b.
Ea = k2 RT T ln (see Example 7.5 in textbook) T T k2 8.
Introduction to reaction kinetics
Lingchong You
Thermodynamics is the study and understanding of whether a process can occur, regardless how long it takes. The 2nd law dSisolated > 0 (or dSsys + dSsurrondings >0) for spontaneous processes At cons
BME 100L
Modeling cellular and molecular systems Introduction
Instructor: Lingchong You
TAs: Stephen Payne & Pavel Yarmolenko
What is a model?
Webster definition:
Main Entry: 1model Pronunciation: 'md&l Function: noun Etymology: Middle French mod
POPULATION CONTROL GENE CIRCUIT: WEEK ONE Safety: The Escherichia coli bacteria used in this lab have been modified to be nonvirulent, but may induce an acute immune response in a very small percentage of individuals (this may occur whenever one is
Name_ Important Equations for Kinetics First Order Reactions

dCA = k 1CA dt
CA = CAoexp(k1t)
t 1/ 2 =
 ln0.5 k1
dCA 1 1 1 2 = k 2C A t1 / 2 =  = k2 t k2 C A0 dt C A CA o dC Reaction between two different molecules  A = k 2 C AC B dt C If
Name:_ Useful Equations Partial derivatives: For function Z = Z(x, y), Z Z dZ = dy , dx + x y y x
9
Z Z = y x y x x y x y First Law of Thermodynamics dE = dq + dw closed system H = E + PV dw = PexdV H
o
=
(
1. 5 mol of a perfect gas is stored in a cylinder. Its CV,m is 2.5R. The cylinder is insulated except at the bottom, where it can exchange heat with a large piece of metal. Initially, the temperature and pressure of the gas are 25oC and 3 bar, respectivel
Name: _
Score _
BME 100L Exam 2
Fall 2009
1. A bubble containing 3 mol of an ideal gas is formed in the water. Initially, it is located at 10 meter below the surface of water. The air pressure (P0) above the water is 1 atm. Based on what you have learned
Name: _
Score _
BME 100L Final Exam
Fall 2007
1. Glucose metabolism in a low O2 (i.e., hypoxic) environment involves the following reaction Fructose1,6diphosphate (FDP) dihydroxyacetone (DHAP) + Glyceraldehyde3phosphate (G3P)withrG = 23.8 kJ/mol. In a
Name: _
Score _
BME 100L Final Exam
Fall 2008
1. A chemical experiment is designed to determine the stoichiometric coefficients and the rate constant of the following elementary reaction,
A + B
k
C
The experimental data are given in the Table v0, M sec1
BME 100L. Modeling Cellular and Molecular Systems
Fall 2009
Computer Project: Modeling a Genetic Oscillator Repressilator (Due: October 2nd for Group B and October 21st for Group A) Michael Elowitz and Stan Leibler were among the first to engineer what we
BME 100L. Modeling Cellular and Molecular Systems Spring 2009 Tu Th 8:30 to 9:45AM in Hudson 125 This course is an introduction to mathematical modeling of kinetic processes in cellular and molecular systems. It also discusses applications of these m
Chemical Equilibria
Basic concepts Chemical potential Standard states
Biochemist standard state
Equilibrium constant
Temperature dependence Calculation of system composition
So far, we have dealt with pure substances, where G = G(T, P, n) Int
BME 100L. Modeling Cellular and Molecular Systems
Dissociation of Double Stranded Polynucleotides
Objective: Inosinic acid (I) is a derivative of adenosine and pairs with cytidine (C), adenosine (A), and uridine (U). In this lab, we will determine
Simple kinetic analysis Enzyme kinetics
Simple kinetics analysis (continued) Quasi steady state assumption (QSSA) Quasi equilibrium assumption Activation energy Transition state theory Enzyme kinetics
In chemical reactions, Steady state of a sub
POPULATION CONTROL GENE CIRCUIT: WEEK TWO Safety: The Escherichia coli bacteria used in this lab have been modified to be nonvirulent, but may induce an acute immune response in a very small percentage of individuals (this may occur whenever one is
Review topics for BME100 Exam 2. Lingchong You General comments: Covers chapters 7, 8 (supplemented with notes) [Homework sets 5, 6, 7] The exam will be close book and close note. But major equations will be provided for your reference you probabl
HW7Solutions 1. a)Botha1anda2shouldhavetheunitof1/nMn b)
s=
c)
A( a1 a 2 ) A( a1 a 2 ) ln F AF A = = = [(1 + a 2 A)a1 (1 + a1 A)a 2 ] /(1 + a 2 A) 2 = 2 ln A FA F (1 + a1 A)(1 + a 2 A) F (1 + a 2 A)
2.a) K1 =
[ A][O1 ] [ B][O2 ] [ A][O1 ] [ BO2 ]K 2 a