The ionization constant of conjugate acid is calculated as: Ka(NH4+).Kb(NH3)=10−14 Ka(NH4+)=
10−14
Kb(NH3)
=
10−14
2.5×10−5
The dissociation reaction of ammonia is as follows:
NH4OH
⇌
NH4+
+
OH−
Atequilibrium
0.01(1−α)
0.01α
0.01α
The degree of ionization is: α=√
Kb
C
=√
2.5×10−5
0.01
=0.05 Therefore concentraion of hydroxide ion becomes: [OH−]=Cα =0.01×0.05 =0.0005 The pH of the ammonia solution is calculated as: pH=14−pOH =14−(−log[OH−]) =14+log(0.005) =14+(−3.3) =10.7 Therefore, pH is 10.7 and ionization constant is equal to 4×10−10