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A gaseous compound of molecular mass 82.1 dissociates on heating to 400 K as X2Y4(g) ⇌ X2(g) + 2Y2(g) The density of the equilibrium mixture at a pressure of 1 atm and temperature of 400K is 2.0gL^-1.

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A gaseous compound of molecular mass 82.1 dissociates on heating to 400 K as

X2Y4(g) ⇌ X2(g) + 2Y2(g)

The density of the equilibrium mixture at a pressure of 1 atm and temperature of 400K is 2.0gL-1. The percentage dissociation of the compound is

(a) 12.5%

(b) 48.5%

(c) 90.1%

(d) 25.0%

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Correct answer: (a) 12.5%

Explanation:

D = \(\frac{PM}{RT}\)

= \(\frac{1 \times 82.1}{0.0821 \times 400}\) = 2.5gL-1

d = 2.0gL-1 (given)

α = \(\frac{D -d}{d(n-1)}\)

= \(\frac{2.5 - 2}{2(3-1)}\)

= 0.125 = 12.5%

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