J.R. S. answered 10/31/20
Ph.D. University Professor with 10+ years Tutoring Experience
This solution contains a weak base (CH3NH2) and the conjugate acid of that weak base (CH3NH3I).
This makes a BUFFER. To find the pH of a basic buffer, we can use a modification of the Henderson Hasselbalch equation. We can use pOH = pKb + log [salt] / [base]
pKb = -log Kb = -log 4.4x10-4
pKb = 3.36
pOH = 3.36 + log (0.180/0.400)
pOH = 3.36 + log 0.45
pOH = 3.36 + (-0.35)
pOH = 3.71
pH + pOH = 14
pH = 14 - pOH
pH = 10.29