An air conditioning system is to take in air at 1 atm, 32oC, 65% relative humidity and deliver it at 22oC, 40% relative humidity. Air flows first over the cooling coils, where it is cooled and dehumidified, and then over the resistance heating wires, where it is heated to the desired temperature. Assuming that the condensate is removed from the cooling section at 7oC, determine
(a) The temperature (T) of air before it enters the heating section,
(b) The amount of heat removed in the cooling section and
(c) The amount of heat transferred (q) in the heating section, both in kJ/kg dry air.