An air-conditioning plant is used to maintain a dry-bulb temperature of 27 °c and relative humidity of 50% in an auditorium. the air flow rate to the auditorium is 20,900 m/hr at a dry-bulb temperature of 17 °c and relative humidity of 83.5%. the effluent air from the auditorium is partially recycled and mixed with the incoming fresh air, which is fed at a rate of 4,500 m/hr at a dry-bulb temperature of 35 °c and relative humidity of 70%. the mixed air, which has a dry-bulb temperature of 29.5 °c and relative humidity of 54%, is passed through the air-conditioning plant to make it suitable for feeding to the auditorium. the total pressure can be assumed to be constant at 1 atm (101.325 kpa). (a) [11 points) calculate the moisture removed in the air-conditioning plant. (b) [3 points) calculate the moisture added in the auditorium. (c) [11 points) calculate the recycle ratio (moles of air recycled per mole of input fresh air) data: absolute molar humidity of fresh air at 35 °c = 4.05 x 102 moles per mole of dry air absolute molar humidity of mixed air at 29.5 °c = 2.25 x 10 moles per mole of dry air absolute molar humidity of air entering the auditorium at 17 °c -1.63 x 10 moles per mole of dry air absolute molar humidity of air leaving the auditorium at 27°c = 1.81 x 102moles per mole of dry air