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Relation between Kp and Kc

The relation ...

Question

The relation between $K_{p}$ and $K_{c}$ for the following reactions.
$(i) N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g)$
$(i i) 2 H_{2} O (g) ⇌ 2 H_{2} (g) + O_{2} (g)$
For these two reactions;
(i) $K_{p_{1}} = K_{c} (R T)^{x}$
(ii) $K_{p_{2}} = K_{c} (R T)^{y}$

Find the sum (x+y).

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Solution

The correct option is B $- 1$
For these two reactions $K_{p}$
(i) $K_{p} = K_{c} (R T)^{- 2}$
(ii) $K_{p} = K_{c} (R T)^{1}$

On comparing we get ,
$x + y = - 1$

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