The reaction:
\[ \text{H}_2\text{O}(g) + \text{Cl}_2\text{O}(g) \rightleftharpoons 2 \text{HOCl}(g) \]
is allowed to attain equilibrium at 400K. At equilibrium, the partial pressures are given as:
- \( P_{\text{H}_2\text{O}} = 300 \) mm Hg
- \( P_{\text{Cl}_2\text{O}} = 20 \) mm Hg
- \( P_{\text{HOCl}} = 60 \) mm Hg
The value of \( K_p \) for the reaction at 400K is:
\[ K_p = \frac{P_{\text{HOCl}}^2}{P_{\text{H}_2\text{O}} \cdot P_{\text{Cl}_2\text{O}}} \]