A 2-m-deep 20-m × 20-m heated swimming pool is maintained at a constant temperature of 30°C at a location where the atmospheric pressure is 1 atm. If the ambient air is at 20°C and 60 percent relative humidity and the effective sky temperature is 0°C, determine the rate of heat loss from the top surface of the pool 

(a) Radiation,

(b) Natural convection,

(c) Evaporation.

(d) Assuming the heat losses to the ground to be negligible, determine the size of the heater.