Problem $8-2.$ An air conditioner operating at steady state takes in moist air at $38C,1$atm, and $60\%$ relative humidity. The moist air first passes through a cooling coil and some water vapor is condensed and then it is passed over heating coils to achieve the final state of $20C$ dry bulb and $10C$ wet bulb.

a$)$ Sketch the psychometric diagram for the process the temperature of the moist air exiting the dehumidifier unit, then determine:

b$)$ the dew point temperature of the mixture at the inlet of the cooling coils and at the inlet of the heating coils.

c$)$ the rate at which water is condensed per unit mass of dry air,

d$)$ the rate of heat transfer as the air passes through the cooling coils, and

e$)$ the rate of heat transfer as the air passes through the heating unit.