Kp = (pNO2^2)/(pN2O4) = (p^2 xNO2^2)/(p xN2O4) = p (((2x)/(n+x))^2)/(((n-x)/(n+x))) = p (4x^2)/(

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$K_p = \frac{p_{NO_2}^2}{p_{N_2O_4}} = \frac{p^2 x_{NO_2}^2}{p x_{N_2O_4}} = p \frac{(\frac{2x}{n+x})^2}{(\frac{n-x}{n+x})} = p \frac{4x^2}{n^2 - x^2}$ \newline $K_p = p \frac{4\alpha^2}{1 - \alpha^2}$ where $\alpha = x/n$ is the fraction reacted