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Question

The density of an equilibrium mixture of N2O4 and NO2 at 1 atm and 346 K is 1.8 g/L. Calculate KC for the reaction:


N2O4(g)2NO2(g)

A
12.8
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B
24
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C
0.36
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D
7.2
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Solution

The correct option is D 7.2
The average molar mass of the gaseous mixture is M=ρRTP
M=1.8×0.0821×3461
M=51.13
Let x be the mole fraction of N2O4
The mole fraction of NO2 is 1x
Th average molar mass of the mixture is 92x+46(1x)1=51.13
46x=5.13
x=0.11
KC=[NO2]2[N2O4]=(0.89)20.11=7.2

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