Homework 7 Solutions
Homework 7 Solutions
Homework 7 Solutions
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nuC3 = 0;<br />
nuD3 = 1;<br />
nuS3 = 0;<br />
%<br />
% rate law<br />
%<br />
ko1 = 1.0; % 1/sec<br />
Ea1 = 4000; % J/mol<br />
R = 8.314; %J/mol/K<br />
DUR1 = 0.0; %J/mol<br />
k1 = ko1*exp(-Ea1/(R*T)); % 1/sec<br />
r1 = k1*CA; % mole/liter/sec<br />
%<br />
ko2 = 1.0; % 1/sec<br />
Ea2 = 3000; % J/mol<br />
R = 8.314; %J/mol/K<br />
DUR2 = 0;<br />
k2 = ko2*exp(-Ea2/(R*T)); % 1/sec<br />
r2 = k2*CA; % mole/liter/sec<br />
%<br />
ko3 = 1.0; % liter/mole/sec<br />
Ea3 = 2000; % J/mol<br />
R = 8.314; %J/mol/K<br />
DUR3 = -20000.0; %J/mol<br />
k3 = ko3*exp(-Ea3/(R*T)); % liters/mole/sec<br />
r3 = k3*CA*CB; % mole/liter/sec<br />
%<br />
% pure component heat capacities<br />
%<br />
CvA = 4.0; %J/mol/K<br />
CvB = 3.0; %J/mol/K<br />
CvC = 5.0; %J/mol/K<br />
CvD = 6.0; %J/mol/K<br />
CvS = 4.0; %J/mol/K<br />
%<br />
% mole fractions<br />
%<br />
CT = CA + CB + CC + CD + CS;<br />
xA = CA/CT;<br />
xB = CB/CT;<br />
xC = CC/CT;<br />
xD = CD/CT;<br />
xS = CS/CT;<br />
%<br />
% mixture heat capacity<br />
%<br />
Cvmix = xA*CvA + xB*CvB + xC*CvC + xD*CvD + xS*CvS;<br />
%<br />
% mole and energy balances<br />
%<br />
dydt(1) = nuA1*r1 + nuA2*r2 + nuA3*r3;<br />
dydt(2) = nuB1*r1 + nuB2*r2 + nuB3*r3;<br />
dydt(3) = nuC1*r1 + nuC2*r2 + nuC3*r3;<br />
dydt(4) = nuD1*r1 + nuD2*r2 + nuD3*r3;<br />
dydt(5) = nuS1*r1 + nuS2*r2 + nuS3*r3;<br />
dydt(6) = -(DUR1*r1 + DUR2*r2 + DUR3*r3)/(CT*Cvmix);<br />
I used the following commands<br />
[y,x]=sysode(2,1000,0,10,[10,0,0,0,40,300]);<br />
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