Air at $40C$ and $80\%$ relative humidity is to be cooled to $20C$ and fed to a building at a rate of $20$kmo$\frac{l}{m}in.$ Assume the heat capacity of dry air is $0\mathrm{.}029\frac{kJ}{\text{m}\text{o}\text{l}*K}.$

a$.$ Calculate the rate $(k\frac{g}{m}in)$ at which water condenses assuming the air fed to the building is saturated.

b$.$ Calculate the cooling requirements in $k\frac{J}{m}in.$