To find the pH of the solution using the Henderson-Hasselbalch equation, we can substitute the given values into the equation:
\text{pH} = \text{pKa} + \log \left( \frac{[\text{A}^-]}{[\text{HA}]} \right)
Given values:
- \text{pKa} = 4.60
- [\text{HA}] = 0.25 \, \text{M} (concentration of the weak acid)
- [\text{A}^-] = 0.55 \, \text{M} (concentration of the conjugate base)
Substitute into Henderson-Hasselbalch equation:
\text{pH} = 4.60 + \log \left( \frac{0.55}{0.25} \right)
Calculate:
\text{pH} = 4.60 + \log(2.2) \approx 4.94
Therefore, the pH of the solution is approximately \boxed{4.94} .