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Q. What is the equation for the equilibrium constant $ (K_{c})$ for the following reaction? $\frac{1}{2}A(g) + \frac{1}{3}B(g)\xrightleftharpoons{T(K) } \frac{2}{3}C(g)$

JIPMERJIPMER 2009Equilibrium

Solution:

$\frac{1}{2}A(g) + \frac{1}{3}B(g)\xrightleftharpoons{T(K)} \frac{2}{3}C(g)$
Equilibrium constant, $K_{c}=\frac{\text { Rate product }}{\text { Rate of reactant }}$
$K_{c}=\frac{[C]^{2 / 3}}{[A]^{1 / 2}[B]^{1 / 3}}$