P$3(25$ points$)$ Air at $35C,1$atm, and $50\%$ relative humidity enters a dehumidifier operating at steady state. Saturated moist air and condensate exit in separate streams, each at $15C.$ Neglecting kinetic and potential energy effects, determine using the adequate equation $($a$)$ the heat transfer from the moist air, in kJ per kg of dry air. $($b$)$ The amount of water condensed, in kg per kg of dry air. $($c$)$ Check your answers using data from the psychrometric chart.