In which of the following equilibria, kp and kc are not equal? [2024]

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Solution

Q.
In which of the following equilibria, $K_{p}$ and $K_{c}$ are not equal [2024]

1 ${PCl}_{5 (g)} ⇌ {PCl}_{3 (g)} + {Cl}_{2 (g)}$

2 $H_{2 (g)} + I_{2 (g)} ⇌ 2 {HI}_{(g)}$

3 ${CO}_{(g)} + H_{2} O_{(g)} ⇌ {CO}_{2 (g)} + H_{2 (g)}$

4 $2 {BrCl}_{(g)} ⇌ {Br}_{2 (g)} + {Cl}_{2 (g)}$

Ans.
(1)

$K_{p} = K_{c} {(R T)}^{Δ n_{g}}$

When $Δ n_{g} \neq 0$ , $K_{p} \neq K_{c}$

For option (1), $Δ n_{g} = 2 - 1 = 1 \neq 0$

Thus, $K_{p} \neq K_{c}$

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