Problem $1$

An isothermal, isobaric, liquid phase reaction, $AB,$ takes place in a PFR$.$ The following data

for the rate of disappearance of $A$ as a function of conversion and concentration were

experimentally obtained under steady state condition. The inlet molar flowrate was $1mo\frac{l}{m}in.$

Second order polynomial

$\frac{1}{-rA}=190\mathrm{.}9-{307\mathrm{.}0}^{**}xA+{209\mathrm{.}0}^{**}x{A}^{{?}^{{?}^{?}}}2$

a$.$ What PFR volume is necessary to achieve $95\%$ conversion?

You must numerically evaluate the integral.

b$.$ What is the total volume of two PFRs in series with the same total conversion as the

single PFR with the $95\%$ conversion?

c$.$ Now, consider a combination of CSTR and PFR in series.

Determine the intermediate fractional conversion for a PFR followed in series by an

equal volume CSTR$.$

Determine the intermediate fractional conversion for a CSTR followed in series by an

equal volume PFR$.$