$(8\backslash \%)$ An Atkinson Cycle is thermodynamically similar to the Brayton Cycle and the Otto cycle which we studied in class and in homework exercises. The ideal open Atkinson cycle uses three primary processes: Isentropic Compression, Constant volume heat addition, and isentropic expansion to the ambient pressure at which the cycle started. Use a compression ratio of $10,$ sea level ambient conditions, and a maximum temperature in the heat addition process of $\backslash (1,200\backslash$mathrm$\{$~K$\}\backslash ).$ Use an excel sheet to calculate the data for your curves and then using plotting software, plot the ideal Atkinson Cycle for these parameters. Using a dashed line, overlay the Brayton Cycle onto this plot and using a dotted line, overlay the Otto Cycle onto this line. NOTE THAT THIS PROBLEM IS WORTH TWICE AS MUCH BECAUSE OF THE BIT OF EXTRA TIME INVOLVED TO DO AN ACCURATE PLOT.