In: Mechanical Engineering
100 people enter a room that is initially at a temperature of 15 C and pressure of 1bar. Each person losses heat to the air in the room at a constant rate of 300 W at a constant temperature of 37 C. The air mass in the room is 750 Kg, remains constant and its cv = 0.79 kJ/(Kg K), cp = 1.08 kJ/(Kg K) and the gas constant is 0.287 kJ/(Kg K). Air enters the room at a temperature 25 C at a mass flow rate of 0.01 Kg/s and leaves the room at the temperature of the room and at the same mass flow rate. The pressure remains constant during this process.
a) Determine the temperature of the air in the room after 30 minutes assuming that there is no heat transfer from the room to the surroundings because it is heavily insulated.
b) Calculate the entropy production for this process assuming that the people are at a temperature of 310 K.