Chemical Reactions Homework 1. Complete problem 3.4 parts a and b (Reynolds & Ri

Question

Chemical Reactions Homework 1. Complete problem 3.4 parts a and b (Reynolds & Richards, page 65). Note: the problem states in the text, then shows in equation form, that the reaction is first order. The statement "the rate constant is 0.40 hrrefers to k. k 0.40 /hour 2. Modified from parts c and d of problem 3.4, prepare a chart that compares PFR and CMFR volume needed over the range of 50 to 95% conversion. Provide the equations you used for the two graphs (PFR and CMFR volumes) above. Evaluate the difference between PFR and CMFR volume for any selected conversion.I the difference constant, a constant ratio, increasing, decreasing, exponential, polynomial.

Explanation / Answer

for a 1st order reaction carried out in a PFR

KT = -ln(1-XA), XA= conversion K= rate constant and T= spae tine

K*(V/VO)PFR= -ln(1-XA) for a PFR   (1), T= V/VO, V= Volume of reactor and Vo= volumetric flow rate

fora CSTR, T= CAOXA/-rA, -rA =rate of reaction= KCA= KCAO*(1-XA)

T= CAOXA/(KCAO*(1-XA)

KT= XA/(1-XA)

K*(V/VO)MFR= XA/(1-XA) (2)

Eq.1/Eq.2 gives VPFR/VMFR= -ln(1-XA)*(1-XA)/XA

hence a by assuming XA from 0.5 to0.95, the ratio of VPFR/VMFR is determined. this plot is shown below.

in the given conversion values, the ratio of VPFR/VMFR is polynomial. This is shown above

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