MAE 241 Spring 2023 Homework 8 Administered 03/24/2023 - Due Sunday 04/02/2023, 11:59 PM to Gradescope 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 ,7? .Builcr. ' represented as a heat engine by assembling the devices shown in ' the figure on the right, where q,-,,is supplied from a source and do\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 ofthe 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 (hl, ha, 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 ofthe 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 \" 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. In theoretica M3 you discovered in your governing equation that you need the value for the enthalpy at the exit of the pump, hz. To determine h2 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 + P12). 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 h2 which will be identical to the expression you found with the first hint