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In reaction A + 2B ⇌ 2C + D, initial concentration of B was 1.5 times of [A], but at equilibrium the concentrations of A and B became equal. The equilibrium constant for the reaction is:

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In reaction A + 2B ⇌ 2C + D, initial concentration of B was 1.5 times of [A], but at equilibrium the concentrations of A and B became equal. The equilibrium constant for the reaction is:

(a) 8

(b) 4

(c) 12

(d) 6

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Correct answer: (b) 4

Explanation:

A + 2B ⇌ 2C + D

a   1.5a    0      0

(a-x) (1.5a-2x) 2x  x

Hence Kc = \(\frac{(2x)^2 \times x}{(a -x)(1.5a - 2x)^2}\)

Given, at equilibrium

∴ (a - x) = (1.5a - 2x)

∴ a = 2x

On solving Kc = 4

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