Equilibrium Question 772

Question: A gaseous compound of molecular mass 82.1 dissociates on heating to 400 K as $ X_2Y_4(g)\rightarrow X_2(g)+2Y_2(g) $ The density of the equilibrium mixture at a pressure of 1 atm and temperature of 400K is $ 2.0g{L^{-1}} $ . The percentage dissociation of the compound is

Options:

A) 12.5%

B) 48.5%

C) 90.1%

D) 25.0%

Show Answer

Answer:

Correct Answer: A

Solution:

$ D=\frac{PM}{RT}=\frac{1\times 82.1}{0.0821\times 400}=2.5g{L^{-1}} $

$ d=2.0g{L^{-1}} $ (given) $ \alpha =\frac{D-d}{d(n-1)}=\frac{2.5-2}{2(3-1)}=0.125=12.5% $ %



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