At steady state, air at 200 kPa, 52 ºC, and a mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. At the duct exit, the pressure of the air is 100 kPa, the velocity is 255 m/s, and the cross-sectional area is 2×10-3 m2. Assuming air is the ideal gas, determine: (a). the temperature of the air at the exit, in ºC. (b). the velocity of the air at the inlet, in m/s. (c). the inlet cross-sectional area, in m2.