The partial pressure of ${\mathrm{CH}}_3\mathrm{OH}\left(\mathrm{g}\right),$ CO(g) and ${\mathrm{H}}_2\mathrm{O}\left(\mathrm{g}\right)$ in equilibrium mixture for the reaction $\mathrm{CO}\left(\mathrm{g}\right) + 2{\mathrm{H}}_2\left(\mathrm{g}\right) \rightleftharpoons {\mathrm{CH}}_3\mathrm{OH}\left(\mathrm{g}\right)$ are 2.0, 1.0, and 0.1 atm respectively at ${427}^0\mathrm{C}$. The value of ${\mathrm{K}}_{\mathrm{P}}$ for decomposition of ${\mathrm{CH}}_3\mathrm{OH}$ to CO and ${\mathrm{H}}_2$ is