Air flows through a long duct of constant cross section area at 0.15 kg/s. A short section of the duct is cooled by liquid nitrogen that surrounds the duct. The rate of heat transfer in this section is 15.0 kJ/s from the air. The absolute pressure, temperature, and velocity entering the short section of the duct are 188 kPa, 440 K, and 210 m/s, respectively. At the outlet of the short section the absolute pressure and temperature are 213 kPa and 351 K. Calculate the following: (a) the velocity at the outlet of the short section, (b) the cross-sectional area of the duct, (c) the change in enthalpy and change in internal energy between the inlet and outlet of the short section of duct.