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. Wpump,in qin Boiler Pump Wturb,out Turbine 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 D-1 Condenser Yout 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. Wturb,out qout n = 1- qin qin Problem 2 Do not start the solution of this problem until you finish Problem 1. Now that you know the answer for part (e) of Problem 1, you decide to study the effect of quality of the saturated mix on cycle thermal efficiency. Using the definition of thermal efficiency as a function of heat supplied to the cycle and heat rejected from the cycle you find that a computation for the thermal efficiency is possible using enthalpy values for the inlet and exit of the devices (h, h2, h3 and h) provided you make reasonable assumptions. As part of your job, you must present to your management results showing an equation and a plot in which you will show the governing equation for the thermal efficiency as a function of the quality of the saturated mix at the exit of the turbine when it ranges from 65% to 100% in intervals of 1%. To generate your plot, you may use MATLAB or any other software; please include a screenshot of your code and a computer generate code. Using your plot, what is the theoretical quality that will lead to the maximum thermal "theoretical" efficiency? Using your plot, comment whether the trends in the plots can be explained with theory. Will the cycle be reversible, irreversible, or impossible when the quality at the exit of the turbine is 70% and when it is 92%? In your plot include the names of the variables on the axis with units, the quality needs to be plotted on the horizontal axis. Hints: you discovered in your governing equation that you need the value for the enthalpy at the exit of the pump, h. To determine h you can use equation (3-9) from your textbook, not the approximation in equation 3-8. Alternatively, you can obtain the same when you apply an energy balance for an adiabatic pump with negligible changes in kinetic and potential energy and expand the enthalpy variable in terms of the properties that define it (h = u + Pv). Next consider that during the pumping process the change in temperature for the water is negligible; from this you can get an expression to compute h which will be identical to the expression you found with the first hint.