Identify role of glycerol in following reaction.

$$ 2 \mathrm{H}_2 \mathrm{O}_{2(\ell)} \xrightarrow{\text { glycerol }} 2 \mathrm{H}_2 \mathrm{O}_{(\ell)}+\mathrm{O}_{2(g)} $$

The slope of a graph $\log [A]_1$ versus ' $t$ ' for first order reaction is $-2.5 \times 10^{-3} \mathrm{~s}^{-1}$. Find rate constant of the reaction?

Identify the order of following reaction?

$$ 2 \mathrm{NO}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} $$

Rate of the reaction $\mathrm{A}+\mathrm{B} \longrightarrow$ product is $3.6 \times 10^{-2} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$ and rate law is $\mathrm{r}=\mathrm{k}[\mathrm{A}][\mathrm{B}]^2$. What is rate constant of the reaction if $[\mathrm{A}]=0.2 \mathrm{M}$ and $[\mathrm{B}]=0.1 \mathrm{M}$ ?