One mole of N2O4 is enclosed in a 5 L container. At equilibrium, the container has 0.5 mole of N2O4. Equilibrium constant for decomposition of N2O4 [N2O4(g) \leftrightharpoons 2NO2(g)] is
a) 1
b) 2/5
c) 3
d) 1/5
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answer : option (b) 2/5
explanation : decomposition of N2O4 is given as ....
at t = 0, N2O4 = 1mol, NO2 = 0mol
at equilibrium, N2O4 = 1 - x = 0.5 ⇒x = 0.5
and NO2 = 2x = 0.5 × 2 = 1
equilibrium constant, K = (2x/V)²/(1 - x)/V
= 4x²/(1 - x)V
putting, x = 0.5 and V = 5L
so, K = 4(0.5)²/(1 - 0.5)5
= 4 × 0.25/(0.5 × 5)
= 1/2.5
= 2/5
hence, equilibrium constant is 2/5
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