using Kb, for NH3 (from Appendix E), calculate Ka for the NH4+ ion.

Kb for NH3 is 1.81 x 10^-5
Ka for NH4+ is Kw / Kb = 10^-14 / 1.81 x 10^-5 = 5.52 x 10^-10

Looks good to me.

To calculate the Ka for the NH4+ ion using the Kb for NH3, we can use the equation Ka = Kw / Kb, where Kw is the ion product constant for water.

The Kb for NH3 given in Appendix E is 1.81 x 10^-5.

The ion product constant for water, Kw, is 1.0 x 10^-14 at 25°C.

Plugging these values into the equation, we have:

Ka = Kw / Kb = (1.0 x 10^-14) / (1.81 x 10^-5)

To simplify this calculation, divide the numerator by the denominator:

Ka = 1.0 x 10^-14 / 1.81 x 10^-5 = 5.52 x 10^-10

Hence, the Ka value for the NH4+ ion is 5.52 x 10^-10.