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NEET UG CHEMISTRY MCQ: Equilibrium

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Analyzing +4 | -1
Equilibrium constants K1{K_1} and K2{K_2}  for the following equilibria are related as :
NO(g)+12O2(g)⇋NO2(g);K1\mathrm{NO}\left( \mathrm{g} \right) + \frac{1}{2}{\mathrm{O}_2}\left( \mathrm{g} \right)\leftrightharpoons\mathrm{N}{\mathrm{O}_2}\left( \mathrm{g} \right);{K_1}
2NO2(g)⇋2NO(g)+O2(g);K22\mathrm{N}{\mathrm{O}_2}\left( \mathrm{g} \right)\leftrightharpoons2\mathrm{NO}\left( \mathrm{g} \right) + {\mathrm{O}_2}\left( \mathrm{g} \right);{K_2}
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Correct option: A
K2=1K12{K_2} = \frac{1}{{K_1^2}}
Option A (K₂ = 1/K₁²) is correct because the second reaction is the reverse of the first reaction multiplied by 2. Reversing a reaction inverts the equilibrium constant, and multiplying by a factor raises the equilibrium constant to that power.

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