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Question

In the reaction N2O42NO2, the degree of dissociation of N2O4 was found to be 0.4 when the reaction is conducted in a 2 liter vessel. The equilibrium constant Kc of the reaction is :

A
0.53
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B
1.06
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C
0.265
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D
2
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Solution

The correct option is A 0.53
Assume initially 1 mole of N2O4 is present.
The following table lists the number of moles of various species.
N2O4
NO2
Initial
1
0
Change
-0.4
0.8
Equilibrium
0.6
0.8

The volume of the vessel is 2L.
Thus, the equilibrium concentrations of N2O4 and NO2 are 0.3M and 0.4M respectively.
The expression for the equilibrium constant becomes Kc=[NO2]2[N2O4]=(0.4)20.3=0.53.

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