Determine the value of equilibrium constant for this reaction:

$2\mathrm{NOCl}\left(g\right)+{\mathrm{O}}_2\left(g\right)\rightleftharpoons 2{\mathrm{NO}}_2\left(g\right)+{\mathrm{Cl}}_2\left(g\right)$

from the ${\mathrm{K}}_{\mathrm{p}}$ values for these reactions.

$\begin{array}{l}2\mathrm{NOCl}\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{NO}\left(\mathrm{g}\right)+{\mathrm{Cl}}_2\left(\mathrm{g}\right)\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}{K}_{P_1}=1.7\times {10}^{-2}\\ 2{\mathrm{NO}}_2\left(\mathrm{g}\right)\rightleftharpoons 2\mathrm{NO}\left(\mathrm{g}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}\hspace{0.25em}{K}_{P_2}=5.9\times {10}^{-5}\end{array}$