This homework is to be solved using concepts from sections 7.1 to 7.7 of your textbook and other prior sections in chapters 6 and 5. Solutions that include entropy balance concepts will not be accepted (sections 7.13 and 7.12) Note: for this homework, all thermodynamic properties must be retrieved using the tables in your textbook. Please include the table number you used. Problem 1 As you learned in chapter 6 while understanding the basics of the Second Law of Thermodynamics, a steam power plant can be represented as a heat engine by assembling the devices shown in the figure on the right, where qin is supplied from a source and qout is rejected to a sink. Please answer the following questions. a. Wpump,in Pump in Boiler Turbine Condenser Yout Wturb,out Assume that all devices shown in the figure are adiabatic and reversible. Water enters the pump as saturated liquid and leaves the pump at 1 MPa and approximately at the same temperature it entered, leaves the boiler as saturated vapor, enters the turbine and leaves the turbine as a saturated mixture with quality 85% and a pressure equal to 20 kPa. Also changes in kinetic and potential energy on any device may be assumed to be negligible compared to changes in other properties, and there are no fluid pressure losses as it passes through the boiler and the condenser, or as it travels from one device to the next. On a T-v and T-s diagrams represent the processes that correspond to each device such that it operates as a cycle; do not include any property values except for pressures that correspond to the boiler and condenser and temperatures. Label your states with numbers and do not omit including the process lines. In your diagram, is there any change in entropy for the water as it passes through the pump and turbine? Explain. Problem 3 Using the data in problem 1 when the quality at the exit of the turbine is 92%, please answer the following for parts a, b, c, and d. a. Compute the change in entropy per unit mass for the water as it enters and leaves the pump. Assume that the temperature of the water did not change. Based on your results, would you conclude that the process is reversible? What condition needs to happen to make it reversible? b. The temperature of the water when it exits the pump has increased by 0.94C. Based on your results, assuming that no heat is transferred to the surroundings, would you conclude that the process is reversible? If not, what is it, why? c. For the adiabatic turbine, based on your results, would you conclude that the process is isentropic? Why? d. On a T-s diagram represents the processes that correspond to a cycle that includes the conditions in parts (b) and (c). 1-2: pump, 2-3: boiler, 3-4: turbine, 4-1: condenser e. Next, assume that the pressure in the boiler is 8 MPa and steam leaves the boiler as saturated vapor and enters the turbine. For an adiabatic reversible process in the turbine, compute the work per unit mass produced in the turbine, in kJ/kg.