and writing the reaction rate expression explicitly$).$

Additional information:

$C_{PA}=40\frac{J}{\text{m}\text{o}\text{l}\text{K}},C_{PB}=25\frac{J}{\text{m}\text{o}\text{l}\text{K}},C_{PC}=15\frac{J}{\text{m}\text{o}\text{l}\text{K}}$

$H_A=-70k\frac{J}{m}ol,H_B=-50k\frac{J}{m}ol,H_C=-40k\frac{J}{m}ol($ referenced $to370K)$

$k=0\mathrm{.}133$exp$[\frac{E}{R}(\frac{1}{450}-\frac{1}{T})]\frac{d{m}^3}{k{g}_{\text{c}\text{a}\text{t}}(s)}$;$E=31\mathrm{.}4k\frac{J}{m}ol$;

$\frac{Ua}{{}_b}=0\mathrm{.}08\frac{J}{skgK}$