Air at 80 kPa and 127 °C enters an adiabatic diffuser steadily at 6000 kg/h and leaves at 100 kPa. The velocity of the air falls from 230 m/s to 30 m/s in the diffuser. Taking c_{p} = 1.005 kJ/kg·K and R = 0.287 kJ/kg·K, find (a) the exit temperature of the air (in K) and (b) the exit area of the diffuser (in m^{2}).