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For the following three reactions (i), (...

For the following three reactions (i), (ii) and (iii), equilibrium constants are given:
i) `CO _((g)) + H _(2) O_((g)) hArr CO _(2 (g)) + H _(2 (g)) , K _(1)`
ii) `CH _(4 (g)) + H _(2) O _((g)) hArr CO _((g)) + 3 H _(2 (g)) , K _(2)`
iii) `CH _(4 (g)) + 2 H _(2) O _((g)) hArr CO _(2 (g)) + 4 H _(2 (g)) , K _(3)`
Which of the following relation is correct?

A

`K _(3) K _(2) ^(3) = K _(1) ^(2)`

B

`K_(1) sqrt (K _(2)) = K _(3)`

C

`K _(2) K _(3) = K _(1)`

D

`K _(3) = K _(1) K _(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Reaction (iii) is obtained by adding (i) and (ii) hence `K _(3) = K _(1) xx K _(2)`
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