P$17-5$ OEQ $($Old Exam Question$).$ A step tracer input was

used on a real reactor with the following results:

For t $<=10$ min, then C $=0.$

For $10<=$ t $<=30$ min, then C $=10$ g$/$dm $.$

For t $>=30$ min, then C $=40$ g$/$dm $.$

The second$-$order reaction A $->$ B with k $=0\mathrm{.}1$ dm $/$mol $$

min is to be carried out in the real reactor with an entering

concentration of A of $1\mathrm{.}25$ mol$/$dm at a volumetric flow

rate of $10$ dm $/$min$.$ Here, k is given at $325$ K$.$

$1.$ What is the mean residence time t $?$

$2.$ What is the variance $\backslash$sigma $?$

$3.$ What conversions do you expect from an ideal PFR and an ideal CSTR

in a real reactor with t $?$

$4.$ What is the conversion predicted by

$1.$ The segregation model?

$2.$ The maximum mixedness model?

$3.$ The T$-$I$-$S model?

$5.$ What conversion is predicted by an ideal laminar flow reactor?

$6.$ Assume now that the reaction is first order with k $=0\mathrm{.}4$ min and

calculate the conversion using the tanks$-$in$-$series model.