N2O4 dissociates as,N2O4(g)⇌2NO2(g) at 55oC 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: (1−x)2x pN2O4=1−x1+x×P;pNO2=2x(1+x)×P Kp=(2x1+x⋅P)(1−x1+x⋅P)=4x2P(1−x2) Given, 9x=0.50 and P=1.2 Kp=1.6 atm Case II: N2O4⇌2NO2 (1−x)2x Given, (1−x)2x=18 x=0.8 Let the new pressure be P atm. Kp=4x2P(1−x2)=4×0.8×0.8×P(1+0.8)(1−0.8)=1.6 P=0.225 atm