Chemistry - Chemical Kinetics Question with Solution | TestHub

For two-third of a reaction ,
${\left[\text{A}\right]}_{\text{0}}\text{=}\text{a,}\left[\text{A}\right]\text{=}\text{a}-\frac{\text{2}}{\text{3}}\text{a}\text{=}\frac{\text{a}}{\text{3}}$
${\text{t}}_{\text{2/3}}\text{=}\frac{\text{2}\text{.303}}{\text{k}}\text{log}\frac{{\left[\text{A}\right]}_{\text{0}}}{\left[\text{A}\right]}$
$\text{=}\frac{\text{2}\text{.303}}{\text{k}}\text{log}\frac{\text{a}}{\frac{\text{a}}{\text{3}}}\text{=}\frac{\text{2}\text{.303}}{\text{k}}\text{log}\text{3}$
${\text{t}}_{\text{2/3}}\text{=}\frac{\text{2}\text{.303}\text{×}\text{0}\text{.4771}}{\text{5}\text{.48}\text{×}{\text{10}}^{-\text{14}}}\text{=}\text{2}\text{.01}\text{×}{\text{10}}^{\text{13}}\text{s}$