1. The figure below shows air at steady state, entering a nozzle at a pressure of 250 kPa and a temperature of 77C with a velocity of 80 m/s. The air exits the nozzle at a pressure of 100 kPa and a velocity of 400 m/s. Heat lost from the nozzle to the surrounding is 3.5 kJ/kg and the surrounding temperature was recorded to be 40C. The potential energy of the system is neglected. P T V qout Nozzle P2 T V a. Proof that the entropy change of the surrounding is 0.01 0.001 kJ/kg-K. b. Estimate the temperature and entropy at the exit of the nozzle. c. Based on your answer in part (a) and part (b), proof that the total change of entropy of the process is 0.0128 0.001 kJ/kg-K.