when PH = 11.5 so, we can get the POH from this formula:
PH + POH = 14
11.5 + POH = 14
∴POH = 2.5
and we can get [OH] from this formula:
POH = -㏒[OH-]
2.5 = -㏒[OH-]
∴ [OH] = 0.0032
according to the reaction equation:
NH3(aq) + H2O(l) ↔ NH4+ (aq) + OH-(aq)
so, Kb = [NH4+][OH] / [NH3]
when [NH4+] = [OH]
by substitution with Kb & [OH]
1.8 x 10^-5 = (0.0032)^2 / [NH3]
∴ [NH3] = 0.569 M
∴ the concentration of ammonia = 0.569 M