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Chemistry · EQUILIBRIUM
हिन्दीAt \( 500\text{ K} \), the equilibrium constant \( K_c \) for \( \text{PCl}_5(\text{g}) \rightleftharpoons \text{PCl}_3(\text{g}) + \text{Cl}_2(\text{g}) \) is \( 1.79 \). If the equilibrium concentration of \( \text{PCl}_5 \) is doubled while maintaining equilibrium at the same temperature such that \( [\text{PCl}_3] = [\text{Cl}_2] \), by what factor does the concentration of \( \text{Cl}_2 \) increase?
Correct answer · Option 2
\( \sqrt{2} \)
Explanation
\( K_c = \frac{[\text{Cl}_2]^2}{[\text{PCl}_5]} \implies [\text{Cl}_2] = \sqrt{K_c [\text{PCl}_5]} \). If \( [\text{PCl}_5] \) is doubled, \( [\text{Cl}_2]' = \sqrt{2 K_c [\text{PCl}_5]} = \sqrt{2} [\text{Cl}_2] \).
