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The partial pressure of CH3OH(g), CO(g), and H2(g) in equilibrium mixture for the reaction, CO(g) + 2H2(g) ⇌ CH3OH(g) are 2.0, 1.0 and 0.1 atm respectively at 427°C.

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The partial pressure of CH3OH(g), CO(g), and H2(g) in equilibrium mixture for the reaction,

CO(g) + 2H2(g) ⇌ CH3OH(g)

are 2.0, 1.0 and 0.1 atm respectively at 427°C. The value of Kp for the decomposition of CH3OH to CO and H2 is

(a) 102 atm

(b) 2 × 102 atm-1

(c) 50 atm2

(d) 5 × 10-3 atm2

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Correct answer: (d) 5 × 10-3 atm2

Explanation:

Kp = \(\frac{PCH_3OH}{PCO \times PH_2}\)

= \(\frac{2}{1 \times (0.1)^2}\)

= 200

For reverse reaction

\(\frac{1}{K_p}\) = \(\frac{1}{200}\)

= 5 × 10-3 atm2

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