A heat engine uses an ideal monoatomic gas. The molar heat capacities are given by Co = (3/2)R and (5/2)R. The adiabatic constant is given by: y = 5/3. The p-V cycle is shown in Figure 2. = PCkPa) T = 600k Pmax 100 ADI ABAT 3 Vrcm') 100 600 Figure 2: p-V diagram for the cycle engine a. Determine AU$ys, Wsys and Qys for the three processes. Display your results as a table for easy reading. b. Find the efficiency of this engine. Hint: Start by finding the following unknowns: Find Pmax using the fact that the process (3 + 1) is adiabatic. Find T, using the fact that the process (1 + 2) is at constant pressure. Find T3 using the fact that the process (2 + 3) is at constant pressure. Calculate the number of moles using the values of (P,V,T) at any point in the cycle (recall that R= 8.31 mk). Then use the definitions of molar heat capacities and the definition of quasi-static work Wif - S; pdV for each process. Note that for the an adiabatic process, with pV=constant, Wadiah = =(P;V; - p:V.). x ; if