The partial pressures of \[C{{H}_{3}}OH,\,CO\] and \[{{H}_{2}}\] in the equilibrium mixture for the reaction \[CO+2{{H}_{2}}\]⇌\[CH{}_{3}OH\] at 427°C are 2.0, 1.0 and 0.1 atm respectively. The value of \[{{K}_{P}}\] for the decomposition of \[C{{H}_{3}}OH\] to CO and \[{{H}_{2}}\] is [Roorkee 1999]

• A.                 \[1\times {{10}^{2}}\]atm           
• B.                 \[2\times {{10}^{2}}at{{m}^{-1}}\]
• C.                 \[50\,\,at{{m}^{2}}\]     
• D.                 \[5\times {{10}^{-3}}at{{m}^{2}}\]