The partial pressure of \( \mathrm{CH}_{3} \mathrm{OH}(g), \mathrm{CO}(g) \) and \( \mathrm{H}_{...

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The partial pressure of \( \mathrm{CH}_{3} \mathrm{OH}(g), \mathrm{CO}(g) \) and \( \mathrm{H}_{2}(g) \) in equilibrium mixture for the reaction, \( \mathrm{CO}(\mathrm{g})+2 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{CH}_{3} \mathrm{OH}(\mathrm{g}) \) are \( 2.0,1.0 \) and \( 0.1 \mathrm{~atm} \) respectively at \( 427^{\circ} \mathrm{C} \). The value of \( K_{p} \) for the decomposition of \( \mathrm{CH}_{3} \mathrm{OH} \) to \( \mathrm{CO} \) and \( \mathrm{H}_{2} \) is :
(A) \( 10^{2} \mathrm{~atm} \)
(B) \( 2 \times 10^{2} \mathrm{~atm}^{-1} \)
(C) \( 50 \mathrm{~atm}^{2} \)
(D) \( 5 \times 10^{-3} \mathrm{~atm}^{2} \)
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