Chemistry - Chemical Kinetics Question with Solution | TestHub

$\begin{array}{cc}{\text{p}}_{\text{f}}\propto & \text{Initial moles of }{\text{C}}_6{\text{H}}_5{\text{N}}_2^{+}{\text{Cl}}^{-}\left(\text{a}\right)\\ {\text{p}}_{\text{t}}\propto & \text{Moles of }{\text{N}}_2\text{ evolved at time t}\\ \propto & \text{Moles of }{\text{C}}_6{\text{H}}_{\mathrm{5 }}{\text{N}}_2^{+}{\text{Cl}}^{-}\text{ reacted}\end{array}$

$\left({\text{p}}_{\text{f}}-{\text{p}}_{\text{t}}\right)\propto \text{ mole of }{\text{C}}_6{\text{H}}_5{\text{N}}_2^{+}{\text{Cl}}^{-}$left at time t (a - x)

${\text{kt}}_{}=2\text{.}30\mathrm{3 }\text{log }\frac{\text{a}}{\text{a - x}}$

${\text{k}}_{}t=2\text{.}30\mathrm{3 }\text{log }\frac{{\text{p}}_{\text{f}}}{\left({\text{p}}_{\text{f}}-{\text{p}}_{\text{t}}\right)}$

$\frac{\text{k}\text{t}}{2.303}=\text{log}{\text{P}}_{\text{f}}-\text{log}\left({\text{P}}_{\text{f}}-{\text{P}}_{\text{t}}\right)$

$\text{log}\left({\text{p}}_{\text{f}}-{\text{p}}_{\text{t}}\right)=\text{log }{\text{p}}_{\text{f}}-\frac{\text{k}}{2\text{.}303}\text{t}$

Interception y axis = log p_f

$\text{Slope}=-\frac{\text{k}}{2\text{.}303}$