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Derivation of Kp and Kc

In the synthe...

Question

In the synthesis of ammonia, $N_{2} + 3 H_{2} ⇌ 2 N H_{3}$ :

K_{p} = K_{c} R T

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K_{p} = K_{c}

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K_{p} = K_{c} (R T)^{- 2}

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K_{p} = K_{c} (R T)^{- 1}

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Solution

The correct option is C $K_{p} = K_{c} (R T)^{- 2}$
The relation between $K_{p}$ and $K_{c}$ is $K_{p} = K_{c} \times {(R T)}^{Δ n}$

Change in no of moles, $Δ n = 2 - (1 + 3) = - 2$

So, $K_{p} = K_{c} \times {(R T)}^{Δ n}$

$\Rightarrow K_{p} = K_{c} . {(R T)}^{- 2}$

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