Chemistry - Chemical Equilibrium Question with Solution | TestHub

$${\mathrm{K}}_1=\frac{p_{\mathrm{NO}2}}{p_{\mathrm{NO}}\cdot {\left({\mathrm{p}}_{\mathrm{O}2}\right)}^{1/2}}$$ $${\mathrm{K}}_2=\frac{{\left(p_{\mathrm{NO}}\right)}^2\cdot p_{\mathrm{O}2}}{{\left({\mathrm{p}}_{\mathrm{NO}2}\right)}^2}$$ takin square root on both sides in eq. 2. $$\begin{array}{rl}& \Rightarrow \sqrt{{\mathrm{K}}_2}=\frac{p_{\mathrm{NO}}\cdot {\left(p_{\mathrm{O}2}\right)}^{1/2}}{p_{\mathrm{NO}2}}\\ & \Rightarrow \sqrt{{\mathrm{K}}_2}=\frac{1}{{\mathrm{K}}_1}\Rightarrow {\mathrm{K}}_2=\frac{1}{{\mathrm{K}}_1^2}\end{array}$$