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NEET UG CHEMISTRY MCQ: Equilibrium

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Analyzing +4 | -1
Consider the following gaseous equilibrium with equilibrium constants K1{K_1} and K2{K_2} respectively
SO2(g)+12O2(g)⇋SO3(g)2SO3(g)⇋2SO2(g)+O2(g)\begin{array}{l} S{O_2}(g) + \frac{1}{2}{O_2}(g)\underset{{}}{\overset{{}}{\leftrightharpoons}}S{O_3}(g)\\ 2S{O_3}(g)\underset{{}}{\overset{{}}{\leftrightharpoons}}2S{O_2}(g) + {O_2}(g) \end{array}
The equilibrium constants are related as
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Correct option: A
K12=1K2K_1^2 = \frac{1}{{{K_2}}}
Option A (K12=1K2K_1^2 = \frac{1}{{{K_2}}}) is correct because the second reaction is the reverse of the first reaction multiplied by 2, so the equilibrium constant is the inverse square of the first reaction's equilibrium constant.

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