State the mathematical expressions for pH and $K_w$.
Calculate the pH for $0.027\,\text{mol dm}^{-3}\ \text{NaOH}(aq)$.
The $K_a$ value for chloric(I) acid, $\text{HClO}$, is $3.72 \times 10^{-8}\,\text{mol dm}^{-3}$. Calculate the pH of $0.010\,\text{mol dm}^{-3}\ \text{HClO}(aq)$.
Calculate the partition coefficient, $K_{pc}$, for ethanamide between water and octan-1-ol.
The $50.0\,\text{cm}^3$ of water containing $0.935\,\text{g}$ of ethanamide is then shaken with $100.0\,\text{cm}^3$ of pure octan-1-ol under the same conditions. Calculate the mass of ethanamide that dissolves in the $100.0\,\text{cm}^3$ of octan-1-ol at equilibrium.