How is the value of the equilibrium constant $K_{\mathrm{p}}$ for the reaction
$$
2 \mathrm{H}_{2} \mathrm{O}(g)+\mathrm{N}_{2}(g) \rightleftharpoons 2 \mathrm{H}_{2}(g)+2 \mathrm{NO}(g)
$$
related to the value of $K_{\mathrm{p}}$ for this reaction at the same temperature?
$$
\mathrm{H}_{2} \mathrm{O}(g)+\frac{1}{2} \mathrm{N}_{2}(g) \rightleftharpoons \mathrm{H}_{2}(g)+\mathrm{NO}(g)
$$