J.R. S. answered 03/23/19
Ph.D. University Professor with 10+ years Tutoring Experience
You didn't actually pose a question, but I'll assume you are looking for the final pH of this buffer solution.
Since the volume of the acid (HA) and the conjugate base (Ac-) are equal, the final concentrations of each will be halved. Thus, final [HA] = 0.100 M and [A-] = 0.300 M. Using the Henderson Hasselbalch equation to determine the pH of this buffer, we have...
pH = pKa + log [A-][HA] and the pKa = -log Ka = -log 1.80x10-5 = 4.74 = pKa
pH = 4.74 + log (0.300/0.100) = 4.74 + log 3
pH = 4.74 + 0.477
pH = 5.22