J.R. S. answered 12/07/22
Ph.D. University Professor with 10+ years Tutoring Experience
The NaOH will react with the conjugate acid (C6H5NH3+) to reduce it's amount and to increase the amount of free base (C6H5NH2). Moles of NaOH added = 0.352 g x 1 mol NaOH/40 g = 0.0088 moles. Concentration of OH- added = 0.0088 moles / 1.35 L = 0.00652 M.
C6H5NH3+ + OH- ==> C6H5NH2 + H2O
@equilibrium we will have...
0.054 M - 0.00652 M = 0.0475 M C6H5NH3+
0.260 M + 0.00652 M = 0.267 M C6H5NH2
Using the Henderson Hasselbalch equation
pOH = pKb + log [conj.acid]/[base]
pOH = 9.13 + log (0.0475/0.267) = 9.13 + (-0.75)
pOH = 8.38
pH = 14 - 8.38
pH = 5.62
∆pH = 5.62 - 5.55 = +0.07 pH units