J.R. S. answered 05/03/21
Ph.D. University Professor with 10+ years Tutoring Experience
In this buffer, the weak acid is H2PO4- and the conjugate base is HPO42-
Using the Henderson Hasselbalch equation, we have...
pH = pKa + log [HPO42-] / [H2PO4-]
pKa = -log Ka = -log 1.67x10-7 = 6.78
Since 100 ml of each is mixed with 100 ml of other, the final [ ] of each will be 1/2 the original concentration.
Final [HPO42-] = 0.15 M
Final [H2PO4-] = 0.05 M
pH = 6.78 + log (0.15/0.05) = 6.78 + log 3 = 6.78 + 0.48
pH = 7.26