Many reactions that take place in water have analogous reactions in liquid ammonia (normal boiling point, –33°C).

(a) Write the chemical equation for the autoprotolysis of NH₃.

(b) Write the formulas of the acid and base species that result from the autoprotolysis of liquid ammonia. 

(c) The autoprotolysis constant, K_am, of liquid ammonia has the value 1 * 10^–33 at –35°C. What is the value of pK_am at that temperature?

(d) What is the molar concentration of NH₄⁺ ions in liquid ammonia?

(e) Evaluate pNH₄ and pNH₂, which are the analogs of pH and pOH, in liquid ammonia at –35 °C.

(f) Derive the relation between pNH₄, pNH₂, and pK_am.