Isothermal, isobaric, gas$-$phase pyrolysis of ethane to ethylene and hydrogen is to be carried out in a

PFR:

$C_2{H}_6{C}_2{H}_4+H_2$

Pure ethane enters the reactor at a volumetric flowrate $v_0=1\frac{d{m}^3}{(s)}$ and pressure $P=6$atm and

temperature $T=1100K.$ The specific reaction rate $k_A=0\mathrm{.}02s^{-1}$ at $T=1100K.$

a$.$ Solve for the conversion as a function of reactor volume up to $V=300d{m}^3.$ Write out each step

of the CRE algorithm clearly and solve the problem numerically $($recommended to use python

for this$).$ Plot both conversion and concentration profiles for the species in this reaction.

b$.$ Assume that the reaction is carried out in a constant$-$volume batch reactor. Solve for the

conversion as a function of time. Plot the temporal conversion profile.