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8 mol of AB3(g) are introduced into a 1.0 dm^3 vessel. If it dissociates as 2AB3(g) ⇌ A2(g) + 3B2(g) At equilibrium, 2 mol of A2 are found to be present. The equilibrium constant of this reaction is

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8 mol of AB3(g) are introduced into a 1.0 dm3 vessel. If it dissociates as

2AB3(g) ⇌ A2(g) + 3B2(g)

At equilibrium, 2 mol of A2 are found to be present. The equilibrium constant of this reaction is

(a) 2

(b) 3

(c) 27

(d) 36

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Correct answer: (c) 27

Explanation:

         2AB3(g) ⇌ A2(g) + 3B2(g)

at t = 0   8          0            0

at eq. (8 - 2 x 2)  2          3 x 2

          = 4           2          6

Now,

KC = \(\frac{[A_2][B_2]^3}{[AB_3]^2}\)

= \(\frac{\frac{2}{1 \times [\frac{6}{1}]^3}}{[\frac{4}{1}]^2}\) = 27

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