In a hot and dry climate, air enters an air-conditioner unit at 100 kPa, 40C, and 5%

Question:

In a hot and dry climate, air enters an air-conditioner unit at 100 kPa, 40°C, and 5% relative humidity, at the steady rate of 1.0 m3/s. Liquid water at 20°C is sprayed into the air in the AC unit at the rate 20 kg/hour, and heat is rejected from the unit at the rate 20 kW. The exit pressure is 100 kPa. What are the exit temperature and relative humidity?