Question:
$2 \mathrm{NO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NOCl}(\mathrm{s})$
This reaction was studied at $-10^{\circ} \mathrm{C}$ and the following data was obtained
$[\mathrm{NO}]_{0}$ and $\left[\mathrm{Cl}_{2}\right]_{0}$ are the initial concentrations and $\mathrm{r}_{0}$ is the initial reaction rate.
The overall order of the reaction is______. (Round off to the Nearest Integer).
Solution:
$\mathrm{r}=\mathrm{k}[\mathrm{NO}]^{\mathrm{m}}\left[\mathrm{Cl}_{2}\right]^{\mathrm{n}}$
$=\mathrm{k}(0.1)^{\mathrm{m}}(0.1)^{\mathrm{n}}$ ...............(1)
$=\mathrm{k}(0.1)^{\mathrm{m}}(0.2)^{\mathrm{n}}$ ...............(2)
$=\mathrm{k}(0.2)^{\mathrm{m}}(0.2)^{\mathrm{n}}$ ...............(3)
$n=1$
$\mathrm{m}=2$
$\mathrm{m}+\mathrm{n}=3$