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Question

N2O4 dissociates as,N2O4(g)2NO2(g) at 55 oC and 1.2 atmosphere, % decomposition of N2O4 is 50.0%.
At what pressure and same temperature, the equilibrium mixture has the ratio of N2O4:NO2 as 1:8?
(Report the answer upto two decimal)

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Solution

Case I: N2O4(g)2NO2(g)
At equilibirum: (1x) 2x
pN2O4=1x1+x×P; pNO2=2x(1+x)×P
Kp=(2x1+xP)(1x1+xP)=4x2P(1x2)
Given, 9x=0.50 and P=1.2
Kp=1.6 atm
Case II: N2O42 NO2
(1x) 2x
Given, (1x)2x=18
x=0.8
Let the new pressure be P atm.
Kp=4x2P(1x2)=4×0.8×0.8×P(1+0.8)(10.8)=1.6
P=0.225 atm

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