For the reaction, $S O_{2 (g)} + \frac{1}{2} O_{2 (g)} ⇌ S O_{3 (g)}$ . If $K_{P} = K_{C} (R T)^{x}$ where the symbols have usual meaning then the value of $x$ is: (assuming ideality).

\frac{1}{2}

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1

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- \frac{1}{2}

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Solution

The correct option is C $- \frac{1}{2}$
${S O}_{2 (g)} + \frac{1}{2} O_{2 (g)} ⇌ {S O}_{3 (g)}$

$K_{P} = K_{C} {(R T)}^{Δ n}$

$Δ n =$ no. of gaseous moles of product minus no. of gaseous moles of reactant

$Δ n = 1 - 1 - 1 / 2$

$∴ Δ n = - 1 / 2$

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