Chemistry - Chemical Kinetics Question with Solution | TestHub

$2{\mathrm{SO}}_2+{\mathrm{O}}_2\rightleftharpoons 2{\mathrm{SO}}_3$ Rate of reaction $=-\frac{1}{2}\frac{d\left[{\mathrm{SO}}_2\right]}{dt}=-\frac{d\left[{\mathrm{O}}_2\right]}{\mathrm{dt}}=\frac{1}{2}\frac{d\left[{\mathrm{SO}}_3\right]}{dt}$ Rate of appearance of ${\mathrm{SO}}_3$, $\begin{array}{rl}\frac{d\left[{\mathrm{SO}}_3\right]}{dt}& =2\times \left[\frac{-d\left[{\mathrm{O}}_2\right]}{dt}\right]=2\times \left(2\times 10^{-4}\right)\\ & =4\times 10^{-4}\mathrm{mol}{\mathrm{L}}^{-1}{\mathrm{s}}^{-1}\end{array}$