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The partial pressures of CH(3) OH, CO an...

The partial pressures of `CH_(3) OH, CO` and `H_(3)` in the equilibrium mixture for the reaction
`CO _((g)) + 2 H _(2 (g)) hArr CH _(3) OH _((g))`
`at 427 ^(@)` are 2.0, 1.0 and.0.1 atm, respectively. The value of `K_(P)` for the decomposition of `CH _(3) OH ` to CO and `H _(2)` is

A

`1 xx 10 ^(2) ` atm

B

`4 xx 10 ^(-2)` atm

C

`5 xx 10 ^(-3)` atm

D

`5 xx 10 ^(3)` atm

Text Solution

Verified by Experts

The correct Answer is:
C
`CO + 2 H _(2) hArr CH _(3) OH, K _(P) = ((P _(CH _(3) OH )))/(( P _(CO )) (P _(H _(2)))) = (2)/((1) (0.1) ^(2)) = 200`
Since the decomposition reaction is reverse of the given reaction that is ,
`CH _(3) OH hArr CO + 2 H _(2) , " " K _(P) = (1)/( K _(P)) = (1)/( 20 0) 5 xx 10 ^(-3) atm`
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