ChE 101 2012 Problem Set 1
1. Computational problem of the week: Every week, we will assign one problem designed to increase your exposure to numerical methods, improve your algorithmic thinking, and get you familiar with Matlab (you'll thank us once you
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #7
Due Tuesday, March 11, 2014 in class
Read Schmidt, Chapters 5 and 6
NOTE: Please list all of your assumptions and cite any external sources used when solving
each problem.
1) Computational Prob
ChE 101 2012 Problem Set 8
Read Schmidt Chapter 6 1. The inclusion of temperature effects in chemical reactor models makes the mass and energy balances intractable to solve analytically, since reaction rates depend on temperature in a highly nonlinear fas
ChE 101 2012 Problem Set 5 Solutions
1. (a) The full ODE system to be solved is d[P ] dt d[ES] dt d[E] dt d[S] dt = kcat [ES] = kf [E][S] - (kcat + kb ) [ES] = (kcat + kb ) [ES] - kf [E][S] = kb [ES] - kf [E][S]
Under the equilibrium assumption, the simpl
ChE 101 2012 Problem Set 7
Read Schmidt Chapters 5 and 10 1. The steady-state approximation is not valid until the reactive intermediates approach their steady-state concentration. The time required for this to occur is called the relaxation time tr . Pas
ChE 101 2012 Set 8 Solutions
1. (a) The PFR mass balance is given by Equation 5.22 as u dcA E , = -k0 cA exp - dz RT
where we have explicitly used the Arrhenius temperature dependence of k. The energy balance is given in Equation 5.31, u dT HR U pw E =- -
ChE 101 Problem Set 6 Solutions
Russell Komor
rkomor@caltech.edu
February 26, 2009
Schmidt 7.17 A catalytic reaction A B occurs on the walls of a tube 1 cm in diameter with a ow
rate of 0.1 liters/sec. The rate of the reaction r(moles/cm2 sec) is 5104 CA
ChE 101 2012 Problem Set 6
Read Schmidt, Chapter 7
1. Derivation of the Langmuir isotherm: In this problem, we will use the tools of statistical mechanics to derive the Langmuir adsorption isotherm and understand how it changes with temperature. All of th
ChE 101 2012 Problem Set 2 Solutions
1. Consider the following reversible elementary reaction: A 2B The rate coefficient of the forward reaction is kf = 25 hr-1 , and the rate coefficient of the reverse reaction is kb = 4 M-1 hr-1 . The aqueous phase reac
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #1
Due Tuesday, January 14, 2014 in class
Read Schmidt, Chapters 1 and 2
NOTE: Please list all of your assumptions and cite any external sources used when solving
each problem.
1) Computational Pr
Acc. Chem. Res. 2001, 34, 938-945
The Depth of Chemical Time and
the Power of Enzymes as
Catalysts
RICHARD WOLFENDEN* AND MARK J. SNIDER
Department of Biochemistry and Biophysics, University of
North Carolina, Chapel Hill, North Carolina 27599
Received Ju
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #3
Due Tuesday, January 28, 2014 in class
Read Schmidt, Chapter 3
NOTE: Please list all of your assumptions and cite any external sources used when solving
each problem.
1) Computational Problem o
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #5
Due Tuesday, February 18, 2014 in class
Read Schmidt, Chapter 4
NOTE: Please list all of your assumptions and cite any external sources used when solving
each problem.
1) Computational Problem
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #6
Due Tuesday, February 25, 2014 in class
Read Schmidt, Chapter 7,
Read Wolfenden and Snider, and Sheldon on Handouts page of the website.
NOTE: Please list all of your assumptions and cite any e
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #7
Due Tuesday, March 4, 2014 in class
Read Schmidt, Chapters 5 and 10
NOTE: Please list all of your assumptions and cite any external sources used when solving
each problem.
1) Computational Prob
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #2
Solutions
1. Consider the following reversible elementary reaction:
A 2B
The rate coefficient of the forward reaction is kf = 25 hr-1, and the rate coefficient of the reverse
reaction is kb = 4
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #4
Due Tuesday, February 4, 2014 in class
Read Schmidt, Chapter 4
Note: Please list all of your assumptions and cite any external sources used when solving each problem.
1. An empty CSTR of volume
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #2
Due Tuesday, January 21, 2014 in class
Read Schmidt, Chapter 3.1-3.9
Note: Please list all of your assumptions and cite any external sources used when solving each problem.
1. Consider the foll
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #6
Due Tuesday, February 25, 2014 in class
Read Schmidt, Chapter 7,
Read Wolfenden and Snider, and Sheldon on Handouts page of the website.
NOTE: Please list all of your assumptions and cite any e
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #5 Solutions
1) Computational Problem of the Week: The goal of this problem is to teach you how to
perform a nonlinear fit in MATLAB. In a recently discovered plant in Africa, the following
reacti
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #4
Solutions
1. An empty CSTR of volume V is being started by filling it at a flow rate, with an aqueous
reactant A at a concentration of CAo. A undergoes the first-order reaction A B with a rate
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #3
Solutions
1) Assumptions: Steady-state, isothermal, liquid-phase, single reaction
a)
Figure 1: Fao/r vs. X
b)
PFR:
=
( )
=
=
CSTR:
( )
( )
From Figure 1, a CSTR should be used first be
ChE 101 Chemical Reaction Engineering
Winter 2014
Homework #1
Solutions
1) (a)
i.
function [y] = euler(f_handle,t0,tf,n,y0)
% Euler function takes in a function handle for f(t,y),t0,tf,n,and
% vector y0 of initial conditions. It returns a matrix y that co
J. Chem. T ech. Biotechnol. 1997, 68, 381 388
Catalysis: The Key to Waste Minimization*
Roger A. Sheldon
Laboratory for Organic Chemistry and Catalysis, Delft University of Technology, Julianalaan 136, 2628
BL Delft, The Netherlands
(Received 21 June 1996
5. For the PFTR, assuming constant density and steady state operation, the mass balance on
species is given by
= ( , )
For the energy balance we have
= ( , ) ( )
Note that, if < , heat flows into the reactor. If > , heat flows out of the reactor. We als
ChE 101 2012 Problem Set 4
Read Schmidt, Chapter 4 1. Consider the reactions A D, A B, B C, r1 = k1 c2 A r2 = k2 cA r3 = k3
with B the desired product. In the subsequent problems, you may use Mathematica to evaluate integrals and simplify algebraic expres
ChE 101 2012 Problem Set 5
1. Computational problem of the week: It is oft quoted that "when you ASSUME, you make an ASS of U and ME". In kinetics, we often make simplifying assumptions to make our modeling more tractable, but a good kineticist must alway
ChE 101 2012 Problem Set 1 Solutions
1. (a)
i.
f u n c t i o n varargout = eulers_method ( ode_func , t0 , tf , n , y0 ) t = l i n s p a c e ( t0 , tf , n+1) ; y = z e r o s ( l e n g t h ( y0 ) , n+1) ; y ( : , 1 ) = y0 ; h = ( tf - t0 ) / n ; for i = 1:
ChE 101 2012 Problem Set 3 Solutions
1. (a) We will assume that all of the CSTRs have the same residence time. Thus, for n CSTRs in series, we have PFR CSTR = n Writing a mass balance on the nth CSTR, we see that cA,n-1 - cA,n = k CSTR cA,n Solving this b
ChE 101 2012 Problem Set 4 Solutions
1. (a) We start with the balance on A in a CSTR, which tells us that = cA,0 - cA k1 c2 + k2 cA A
Rearranging terms, we obtain the equation k1 c2 + (1 + k2 ) cA - cA,0 = 0 A Applying the quadratic formula and taking the