${N_2}(g)\, + \,3{H_2}(g)\,\rightleftharpoons \,2N{H_3}\,(g)$
at constant temperature and pressure. Then the ratio of the final volume to the initial volume of gases are.
| Moles | $N_2$ | $H_2$ | $NH_3$ |
| Initial | $0.2$ | $0.6$ | $0$ |
| At equilibrium | $0.2-x$ | $0.6-3x$ | $2x$ |
Also, $0.4=\frac{\mathrm{x}}{0.2} \Rightarrow \mathrm{x}=0.08$
Ratio $=\frac{\mathrm{V}_{\mathrm{f}}}{\mathrm{V}_{\mathrm{i}}}=\frac{\left(\mathrm{n}_{\text {Toth }}\right)_{\mathrm{f}}}{\left(\mathrm{n}_{\text {Toth }}\right)_{\mathrm{i}}}=\frac{0.8-2 \mathrm{x}}{0.8}$
$=1-\frac{\mathrm{x}}{0.4} $
$=1-\frac{0.08}{0.40}=\frac{4}{5} $
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