Final answer:
To calculate the pH of the buffer solution, use the Henderson-Hasselbalch equation. The pH is approximately 8.51.
Step-by-step explanation:
To calculate the pH of the buffer solution, we can use the Henderson-Hasselbalch equation: pH = pKa + log([A-]/[HA]). In this case, the pKa of tris is 8.1. We can calculate the concentrations of tris and trisHCl by dividing the moles of each by the total volume of the solution:
- [A-] = (0.052 mol) / (1.83 L) = 0.028 mol/L
- [HA] = (0.020 mol) / (1.83 L) = 0.011 mol/L
Plugging these values into the Henderson-Hasselbalch equation, we get:
pH = 8.1 + log(0.028/0.011) = 8.1 + log(2.545) = 8.1 + 0.406 = 8.51
Therefore, the pH of the solution is approximately 8.51.