Final answer:
The final pH of the solution made by mixing 100 ml of 0.05M acetic acid with 100 ml of 0.1M sodium acetate is approximately 5.061, calculated using the Henderson-Hasselbalch equation.
Step-by-step explanation:
The student is asking about the final pH of a buffer solution created by mixing 100 ml of 0.05M acetic acid with 100 ml of 0.1M sodium acetate. To calculate this, we have to use the Henderson-Hasselbalch equation, which is:
pH = pKa + log([A-]/[HA])
Since we're mixing equal volumes of two solutions, we can find the concentration of acetic acid ([HA]) and acetate ([A-]) after mixing:
- [HA] = (0.05M acetic acid * 100 ml) / 200 ml total volume = 0.025M
- [A-] = (0.1M sodium acetate * 100 ml) / 200 ml total volume = 0.05M
Substituting the values into the Henderson-Hasselbalch equation and the given pKa (4.76) for acetic acid:
pH = 4.76 + log(0.05 / 0.025)
pH = 4.76 + log(2)
pH = 4.76 + 0.3010
pH = 5.061
Therefore, the final pH of the solution is approximately 5.061.