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Q. Given the reaction between 2 gases represented by $A_2$ and $B_2$ to give the compound $AB_{(g)}$.
$ A_{2(g)} + B_{2(g)} \rightleftharpoons 2 \, AB_{(g)}$
At equilibrium, the concentration
of $A_2 = 3.0 \times 10^{-3} \, M$
of $B_2 = 4.2 \times 10^{-3}\, M $
of $AB = 2.8 \times 10^{-3} \, M$
If the reaction takes place in a sealed vessel at $527^{\circ} C$, then the value of $K_C$ will be :

AIPMTAIPMT 2012Equilibrium

Solution:

$A_2 + B_2 \rightleftharpoons 2AB$
$K_{c } = \frac{[AB]^2}{[A_2][B_2]} = \frac{2.8 \times 2.8 \times 10^{-6}}{3 \times 10^{-3} \times 4.2 \times 10^{-3}} = 0.62 $