A catalytic reaction with the kinetics r′(CA)=kCA/(1 + aCA)^2 is conducted in two steady state CSTRs in series with catalyst masses W1 and W2. (a). Show that the mass balances for the liquid phase...

A catalytic reaction with the kinetics

r′(CA)=kCA/(1 + aCA)^2
is conducted in two steady state CSTRs in series with catalyst masses W1 and W2.
(a). Show that the mass balances for the liquid phase reactant A are

v(i−1)CA(i−1) − viCAi − r′(CAi)Wi = 0,

vi = vi−1, i = 1, 2.
(b). For aCA0 = 5, CA2 = 0.1CA0, and

W1 = W2 = W, compute CA1/CA0 and kW/v0.