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Question

N2O4 dissociates as N2O42NO2. At 55C and one atmosphere, % decomposition of N2O4 is 50.3%. At what P and same temperature, the equilibrium mixture will have the ratio of N2O4:NO2 as 1:8?

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Solution

N2O4(g)2NO2(g)
At equilibrium (1x) 2x
pN2O4=(1x)(1+x)×P;pNO2=2x(1+x)×P
Kp=(2x(1+x).P)2((1x)(1+x).P)=4x2P1x2
Given x=0.503 and P=1
Kp=1.3548
CASE II:
N2O4(g)2NO2(g)
(1x) 2x
given 1x2x=18
x=0.8
Let the new pressure be P atm
Kp=4x2P1x2=1.3548
P=0.19atm

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