For the specific initial conditions $($present below$),$ deduce the

design equation in the terms of conversion of the limiting

reactant, for a batch reactor where the next elemental

reaction ocuers in liquid phase and under isothermal conditions.

$A+B3C+D$

$C_{A_0}=2\frac{\text{m}\text{o}\text{l}}{L}$;$C_{B_0}=1\mathrm{.}5\frac{\text{m}\text{o}\text{l}}{L}$;$C_{C_0}=0$;$C_{D_0}=2\frac{\text{m}\text{o}\text{l}}{L}$

$K_A=1\mathrm{.}337{10}^{-3}{L}_{mo{l}^{-1}mi{n}^{-1}}$

a$)$ Identify the limiting reagent. Justify the answer.

$($b$)$ What is the conversion of the limiling reagent and the

concentration of reaction products $C$&$D,$ at a reaction time

of $1200s?$

$($c$)$ If the reaction occured in gas phase at constant pressure,

what would be the concentration of all components of the

reaction mixlure for a conversion of the limiting reactant of

$70\%?$