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NCERT Class XI Chemistry Equilibrium Solutions

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Question : 21 of 73
Marks: +1, -0
Equilibrium constant, KcK_c for the reaction
N2(g)+3H2(g)\mathrm{N}_{2(g)} + 3\mathrm{H}_{2(g)}2NH3(g)2\mathrm{NH}_{3(g)} at 500 K is 0.061.
At a particular time, the analysis shows that composition of the reaction mixture is 3.0 mol L1N2\text{mol L}^{-1} \mathrm{N}_2, 2.0 mol L1H2\text{mol L}^{-1} \mathrm{H}_2 and 0.5 mol L1NH3\text{mol L}^{-1} \mathrm{NH}_3. Is the reaction at equilibrium? If not in which direction does the reaction tend to proceed to reach equilibrium?
Solution:  
QcQ_c = [NH3]2[N2][H2]3\frac{[\mathrm{NH}_3]^2}{[\mathrm{N}_2][\mathrm{H}_2]^3} = (0.5)2(3.0)(2.0)3\frac{(0.5)^2}{(3.0)(2.0)^3} = 0.0104
Given KcK_c = 0.061
As QcQ_cKcK_c, reaction is not in equilibrium.
As QcQ_c < KcK_c, reaction will proceed in the forward direction.
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