The partial pressure of \( CH_3OH(g) \), \( CO(g) \), and \( H_2(g) \) in an equilibrium mixture for the reaction:
\[
CO(g) + 2H_2(g) \rightleftharpoons CH_3OH(g)
\]
are 2.0, 1.0, and 0.1 atm respectively at \( 427^\circ C \). The value of \( K_p \) for the decomposition of \( CH_3OH \) to \( CO \) and \( H_2 \) is: