Q$.$ III: Consider the following set of elementary reactions:

$AB$

$BC$

$B+2C3C$

$CD$

With $k_1=0\mathrm{.}001mi{n}^{-1},k_2=0\mathrm{.}01mi{n}^{-1},k_3=2\mathrm{.}5{10}^{9}d\frac{m^6}{m}o\frac{l^2}{m}in,k_4=1mi{n}^{-1}$

The reaction system is carried out in in a constant volume batch reaction to achieve $85\%$

conversion of species $A.$ The initial species concentrations $(mo\frac{l}{d}{m}^3)$ in the reactor are: $C_{Ao}$

$=0\mathrm{.}01,C_{Bo}=2{10}^{-5},C_{Co}=1{10}^{-5},$ and $C_{Do}=0.$

a$)$ Give the rate expression for each species in the reaction system.

b$)$ Plot the species concentrations versus time on the same graph. Any comments?