J.R. S. answered 03/21/23
Ph.D. University Professor with 10+ years Tutoring Experience
A mixture of C2H5NH3+ and C2H5NH2 creates a buffer b/c you have a weak base (C2H5NH2) and the conjugate acid (C2H5NH3+). To find the pH, we can use the Henderson Hasselbalch equation:
pOH = pKb + log [C2H5NH3+] / [ C2H5NH2]
Looking up Kb for C2H5NH2, tabular value is given as 5.6x10-4 (your value may be slightly different)
pKa = -log Kb = 3.25
pOH = 3.25 + log (0.288 / 0.126)
pOH = 3.25 + 0.36
pOH = 3.61
pH = 14 - pOH
pH = 14 - 3.61
pH = 10.4