${\mathrm{N}}_2{\mathrm{O}}_4\rightleftharpoons 2{\mathrm{NO}}_2$. At 300 K N₂O₄ at 6 atmosphere is heated to 600K where equilibrium is established with a total pressure of 16 atmospheres. What is K_p at 600K?

${\mathrm{N}}_2{\mathrm{O}}_4\rightleftharpoons 2{\mathrm{NO}}_{2}0 1-\mathrm{\alpha } 2\mathrm{\alpha }$

Total no. of moles at Equillibrium $=1-\mathrm{\alpha }+2\mathrm{\alpha }=1+\mathrm{\alpha }$

From ideal gas equation $\frac{{\mathrm{P}}_1}{{\mathrm{n}}_1{\mathrm{T}}_1}=\frac{{\mathrm{P}}_2}{{\mathrm{n}}_2{\mathrm{T}}_2}$

Before After Equillibrium Equillibrium $\frac{6}{1\times 300}=\frac{16}{(1+\mathrm{\alpha })600}$

$\begin{array}{l}\therefore \mathrm{\alpha }=1/3\\ {\mathrm{K}}_{\mathrm{P}}=\frac{{\mathrm{P}}^2{\mathrm{NO}}_2}{{\mathrm{P}}_{{\mathrm{N}}_2{\mathrm{O}}_4}}=8\end{array}$