program using CATT, Matlab, Mathcad or Excel

a.Write a program using CATT, Matlab, Mathcad or Excel to plot nBT vs. rp for rp = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12; (y 1)/y = 0.2857; T1 = 16oC, T3 = 300oC, 400oC, 500oC, 600oC, 700oC, 800oC; nt = 0.90, nmt = 0.94, nc = 0.87, nmc = 0.98, nb = 1.00.
Calculate and plot the thermal efficiency of the Brayton cycle for rp = 1,.., 12. Show a table of your calculations (results). Note: n:eta

b.From the plot of part a. determine the optimum rp for each T3. Tabulate your values, then plot rp opt vs. T3.

c.Plot nBT vs. T1 for T1 = 40oC, 20oC, 10oC, 40oC, 60oC using the values of rp opt found in part b. for T3 = 500oC, 600oC, 700oC, 800oC. Show a table of your calculations (results).

d.Plot nBT vs. rp for rp = 1, …, 12, with T3 = 800oC, nb = 1.00, T1 = 16oC, nmc = 0.98, and ntnmt = ncnmc = 0.75, 0.80, 0.85, 0.90. Show a table of your calculations (results).