At total pressure P1 atm and P2 atm, N2O4 is dissociated to an extent of 33.33% and 50.00%, respecti

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At total pressure P1 atm and P2 atm, N2O4 is dissociated to an extent of 33.33% and 50.00%, respectively. The ratio of pressures P1 and P2 is

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$K_{p} = \frac{4\alpha^{2}.P}{1 - \alpha^{2}} = \text{Constant}$

$\therefore\frac{4 \times \left( \frac{1}{3} \right)^{2} \times P_{1}}{1 - \left( \frac{1}{3} \right)^{2}} = \frac{4 \times \left( \frac{1}{2} \right)^{2} \times P_{2}}{1 - \left( \frac{1}{2} \right)^{2}} \Rightarrow \frac{P_{1}}{P_{2}} = \frac{8}{3}$

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