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NEET UG CHEMISTRY MCQ: Equilibrium

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The equilibrium constant for the reaction N2(g)+O2(g)⇌2NO(g)\mathrm{N}_2(\mathrm{g})+\mathrm{O}_2(\mathrm{g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g}) is K1K_1 and the equilibrium constant for the reaction NO(g)⇌12N2(g)+12O2(g)\mathrm{NO}(\mathrm{g}) \rightleftharpoons \frac{1}{2} \mathrm{N}_2(\mathrm{g})+\frac{1}{2} \mathrm{O}_2(\mathrm{g}) is K2K_2 both at the same temperature. The value of K1K_1 and K2K_2 are related as
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Correct option: A
K1=(1K2)2K_1=\left(\frac{1}{K_2}\right)^2
Option A (K1=(1K2)2K_1=\left(\frac{1}{K_2}\right)^2) is correct because the second reaction is the reverse of the first reaction divided by 2, so their equilibrium constants are related by the inverse square.

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