Problem $2.(35$ pts $).$ Moist air at $35C$ and $60\%$ relative humidity is to be conditioned before it is delivered to a room at $23C$ and $40\%$ relative humidity at a rate of $3500\frac{m^3}{h}.$ Liquid water is available at $20C.($a$)$ Show a simple schematic of the set up needed to condition the air and the related processes on the psychrometric chart then calculate, $($a$)$ the dew point temperature at the inlet, $($b$)$ the overall net rate of heat transfer required in kW $,$ and $($c$)$ the mass flow rate of condensate added or removed in $k\frac{g}{h}r.$