Final answer:
To calculate the hydrolysis constant of KCN, use the formula for the hydrolysis reaction and the given values. Calculate the degree of hydrolysis using the formula and concentration of OH¯. Finally, calculate the pH of the solution using the degree of hydrolysis and the formula.
Step-by-step explanation:
To calculate the hydrolysis constant of KCN, we need to use the formula for the hydrolysis reaction: CN¯(aq) + H₂O(l) ⇌ HCN(aq) + OH¯(aq). The hydrolysis constant (Kw) is calculated by dividing the concentration of the products (HCN and OH¯) by the concentration of the reactant (CN¯). So, Kw = [HCN][OH¯] / [CN¯].
The degree of hydrolysis can be calculated by using the formula: degree of hydrolysis = [OH¯] / [CN¯].
To calculate the pH of the solution, we can use the formula: pH = -log[H+]. The concentration of H+ can be calculated from the degree of hydrolysis using the equation: [H+] = Kw / [OH¯].
Using the given concentration of KCN and the values for the hydrolysis constant and Kw, we can calculate the hydrolysis constant, degree of hydrolysis, and pH of the solution at 15°C.