An air-conditioned building has a sensible cooling load of 60 kW and a latent load of 40 kW. The room is maintained at 24°C (DBT) and 50% RH, while the outside design conditions are 34°C (DBT) and 40% RH. To satisfy the ventilation requirement, outdoor air is mixed with recirculated air in the ratio of 1:3 (by mass). Since the latent load in the building is high, a reheat coil is used along with a cooling and dehumidifying coil. Air is supplied to the conditioned space at 14°C (DBT). If the bypass factor of the cooling coil is 0.15 and the barometric pressure is 101.325 kPa, find: (a) Mass flow rate of supply air (b) Required cooling capacity of the cooling coil and heating capacity of the reheat coil (hfg at 0°C = 2501 kJ/kgK).