J.R. S. answered 04/17/20
Ph.D. University Professor with 10+ years Tutoring Experience
NH4+ + H2O ==> NH3 + H3O+
NH4+ is acting as an acid and so we need to find the Ka. KaKb = 1x10-14 and Ka = 1x10-14/1.8x10-5
Ka = 5.55x10-10
Ka = 5.55x10-10 = [NH3][H3O+]/[NH4+] and [NH4+] = (x)(x) / [NH4+]
FInding [NH4+] we have 0.232 g NH4Cl x 1 mol/53.5 g = 0.00434 mol/0.5L = 0.00867 M
5.55x10-10 = (x)(x) / [0.00867]
x2 = 4.81x10-12
x = 2.19x10-6 M = [H3O+]
pH = -log 2.19x10-6 M = 5.66
pOH = 14 - pH
pOH = 8.34