USE MATLAB AND SCREENSHOT CODE PLSSS

1. The Carnot engine is an ideal cyclic heat engine that gives the maximum amount of work. A cycle of the engine consists of 4 steps (see the right figure), all in reversible processes. (1) ab isothermal expansion at T by adding heat Q (2) --- adiabatic expansion, (3) cd isothermal compression at T, by removing heat Qs, and (4) d--a adiabatic compression. The workpl -W done by the engine is w-(7) 75 (1) Suppose the working fluid in the engine is 1 mole of an ideal gas [PV = RT, R -8.314 /(molK)) and the system operates between 7) = 800 K and T; = 300 K. In the 1" step (a--b), the volume changes from V. 0.001 mto V0.005 m'. The heat input in this step is 2 = [*TAS = RT, IN V S. (2) In the adiabatic processes in the 2nd and 4 steps, PV = constant (3) is obeyed where y=573 for an ideal gas. Write a script file HW7_1_YourLastName.m that (1) draws the P-V diagram as the figure above (shading is not needed). As a unit of P, use bar (do not use Pascal). To draw the graph, calculate V and V, from the ideal gas law and Eq. (3). Then, P can be defined as a function of V for each step. (2) calculates the work done by the engine -W (PV = "pav + " Pav + ["Pav +["Par (4) In evaluating Eq. (4), use MATLAB built-in function "integral". Then, from Eqs. (2) and (4), calculate the engine efficiency defined as 77= (5) Show that the calculated efficiency is the same as the Carnot efficiency 17 = 1 - I T