If the volume of an equilibrium mixture of $\mathrm{N}_{2}(\mathrm{g}), \mathrm{H}_{2}(\mathrm{g})$ and $\mathrm{NH}_{3}(\mathrm{g})$ is reduced by doubling the pressure, will $P_{\mathrm{N}_{2}}$ have increased, decreased, or remained the same when equilibrium is re established? Explain.
$$
\mathrm{N}_{2}(\mathrm{g})+3 \mathrm{H}_{2}(\mathrm{g}) \rightleftharpoons 2 \mathrm{NH}_{3}(\mathrm{g})
$$