how much temperature does it take to boil 17 grams of ammonia in 500 grams of water?

Molar mass of NH₃ = (14 + 1×3) g/mol = 17 g/mol
Molality of NH₃, m = (17/17 mol) / (500/1000 L) = 2 m

The ionization of NH₃ in water in negligible, and thus van't Hoff factor, i ≈ 1
Boiling point elevation constant for water, Kb = 0.512 °C/m
Boiling point elevation, ΔTb = Kb m i = 0.512 × 2 × 1 °C = 1.02°C

Normal boiling point of water = 100°C
Boiling point of the solution = (100 + 1.02)°C = 101.02 °C