Final answer:
The pH of the buffer solution prepared by mixing equal volumes of 0.3 M Tris in the acid form and 0.15 M Tris in the basic form is 7.6, indicating a slightly basic solution.
Step-by-step explanation:
The pH of a buffer solution prepared by mixing equal volumes of 0.3 M Tris in the acid form (TrisH+ or TrisHCl) and 0.15 M Tris in the basic form (Tris or Tris base) can be calculated using the Henderson-Hasselbalch equation:
pH = pKa + log ([Tris base]/[TrisH+])
Since equal volumes of 0.3 M TrisH+ and 0.15 M Tris base are mixed, the concentration of Tris base will be halved due to dilution. The final concentrations of TrisH+ and Tris base in the solution will be:
- [TrisH+] = 0.3 M
- [Tris base] = 0.075 M (after dilution)
Now, we apply these concentrations to the Henderson-Hasselbalch equation using the pKa value for Tris, which is 8.1:
pH = 8.1 + log (0.075/0.3)
The calculated pH of the buffer solution is therefore 7.6, which indicates that the solution is somewhat basic, as the pH is slightly below the pKa value of Tris.