What is the mass of ammonia in the gas phase at equilibrium

Question

Problem

Consider 2L of a 2 mM solution of NH₄OH in a closed vessel brought to equilibrium with 100 mL of nitrogen. If the final pH of the aqueous solution is 8, what is the mass of ammonia in the gas phase at equilibrium? The temperature is 298 K. Kaw = 0.016 atm/mol/L. Ka1 = 1.7 × 10^-5 M. Note that you have to derive the equation for the aqueous mole fraction αNH₃ · H₂O.

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.