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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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  • Given: N _(2) (g) + 3 H _(2) (g) hArr 2 NH _3) (g) , K _(1) N _(2) g + O _(2) (g) + O _(2) (g) hArr 2 NO (g) , K _(2) , H _(2) (g) + (1)/(2) O _(2) hArr H _(2) O (g) , K _(3) The equilibrium constant for 2 NH _(3) (g) + (5)/(2) O _(2) (g) hArr 2 NO (g) + 3 H _(2) O (g) will be

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  • Given : N_(2)(g) + 3H_(2)(g) hArr 2NH_(3) (g) , K_(1) N_(2)(g) + O_(2)(g) hArr 2NO(g) , K_(2), H_(2)(g) + (1)/(2)O_(2) hArr H_(2)O(g), K_(3) The equilibrium constant for 2NH_(3)(g) + (5)/(2)O_(2)(g) hArr 2NO(g) + 3H_(2)O(g) will be

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