Yeditepe University Mechanical Engineering Department ME 212 Thermodynamics II Spring 2020 – HW 1 1) An insulated piston–cylinder device contains 3 L of saturated liquid water at a constant pressure of 150 kPa. An electric resistance heater inside the cylinder is turned on, and electrical work is done on the water in the amount of 2500 kJ. Assuming the surroundings to be at 25°C and 100 kPa, determine (a) the minimum work with which this process could be accomplished and (b) the exergy destroyed during this process. 2) Liquid water at 200 kPa and 20°C is heated in 600 kJ/min a chamber by mixing it with superheated steam at 200 kPa and 200°C. Liquid water 20°C 1 enters the mixing chamber at a rate of 3.5 MIXING 3.5 kg/s kg/s, and the chamber is estimated to lose 60°C 3 CHAMBER 200 kPa heat to the surrounding air at 25°C at a rate of 200°C 2 600 kJ/min. If the mixture leaves the mixing chamber at 200 kPa and 60°C, determine (a) the mass flow rate of the superheated steam and (b) the wasted work potential during this mixing process. 3) Carbon dioxide, CO2, enters an adiabatic compressor at 100 kPa and 300 K, and exits at 1000 kPa, 520 K. Write mass, energy and entropy balance equations, calculate the specific compressor work, compressor isentropic efficiency and the specific entropy generation for the process. 4) The heat exchanger uses the heat of hot exhaust gases to produce steam as shown in figure, and a 15% of this heat is lost to the surroundings. Exhaust gases enters the heat exchanger at 500°C. Water enters at 15°C as saturated liquid and exit at saturated vapor at 2 MPa. The mass flow rate of water is 0.025 kg/s, and it is 0.42 kg/s for exhaust gases. The specific heat for exhaust gases is 1.045 kJ/kg K, which can be treated as ideal gas. (a) Write mass and energy balance equations; (b) Calculate the rate of heat transfer to the water; (c) Calculate the exhaust gases exit temperature.