Assuming Earth to be a black sphere with a surface temperature of 300 K at top of the atmosphere, what must Earth's internal heat generation be in order to maintain that temperature? (neglect radiation from the stars, but not the sun)

An air-conditioning system consists of a heating section and an evaporative cooler. air enters the heating section at 10°c and 70 percent relative humidity at a rate of 30m^3/min, and it leaves the evaporative cooler at 20°c and 60 percent relatively humidity. if the air conditioning system operates at a total pressure of 98 kpa, determine (a) the temperature and relative humidity of the air when it leaves the heating section, (b) the rate of heat transfer in the heating section, and (c) the rate of water added to air in the evaporative cooler