Chemistry - Chemical Kinetics Question with Solution | TestHub

$\mathrm{A}\to \mathrm{B} + \mathrm{C}$

${\mathrm{P}}_{\mathrm{i}} 0 0$

${\mathrm{P}}_{\mathrm{i}}-\mathrm{x} \mathrm{x} \mathrm{x}$

The formula used here is:

$\mathrm{k}=\frac{2.303}{\mathrm{t}}\log \frac{{\mathrm{P}}_{\mathrm{i}}}{{\mathrm{P}}_{\mathrm{t}}}$

${\mathrm{P}}_{\mathrm{t}}={\mathrm{P}}_{\mathrm{i}}+\mathrm{x}$

${\mathrm{P}}_{\mathrm{i}}-\mathrm{x}={\mathrm{P}}_{\mathrm{i}}-{\mathrm{P}}_{\mathrm{t}}+{\mathrm{P}}_{\mathrm{i}}$

$=2{\mathrm{P}}_{\mathrm{i}}-{\mathrm{P}}_{\mathrm{t}}$

$\mathrm{k}=\frac{2.303}{\mathrm{t}}\times \log \frac{{\mathrm{P}}_{\mathrm{i}}}{\left(2{\mathrm{P}}_{\mathrm{i}}-{\mathrm{P}}_{\mathrm{t}}\right)}$

Hence, the answer is option A.