Answer:
pH = 10.87
Step-by-step explanation:
You can find pH of a buffer (Mixture of a weak base, X, and its conjugate acid, HX) by using H-H equation:
pH = pKa + log [X] / [HX]
pKb is -log Kb = 3.13
Using Hint pKw = pKa + pKb (pKw = 14)
pKw = pKa + pKb
14 - 3.13 = pKa
10.87 = pKa
Replacing in H-H equation:
pH = 10.87 + log [0.42M] / [0.42]
pH = 10.87 + log 1
pH = 10.87