For the reaction,

$$ 2 \mathrm{SO}_2+\mathrm{O}_2 \rightleftharpoons 2 \mathrm{SO}_3 $$

if the rate of disappearance of $\mathrm{O}_2$ is $2 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$, determine the rate of appearance of $\mathrm{SO}_3$.

If for a first-order reaction, the frequency factor $A=4 \times 10^{13} \mathrm{~s}^{-1}$ and activation energy $E_a=98.6 \mathrm{~kJ} \mathrm{~mol}^{-1}$, at what temperature will the half-life be 10 minutes?

For the reaction $ 2 \mathrm{SO}_{2}+\mathrm{O}_{2} \rightleftharpoons 2 \mathrm{SO}_{3} $, the rate of disappearance of $ \mathrm{O}_{2} $ is $ 2 \times 10^{-4} \mathrm{~mol} \mathrm{~L}{ }^{-1} $ $ \mathrm{s}^{-1} $. The rate appearance of $ \mathrm{SO}_{3} $ is

If for a first order reaction, the value of $ A $ and $ E_{a} $ are $ 4 \times 10^{13} \mathrm{~s}^{-1} $ and $ 98.6 \mathrm{~kJ} \mathrm{~mol}^{-1} $ respectively, then at what temperature will its half life period be 10 minutes?