Equilibrium constants K_1 and K_2 for the following equilibria: are...

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