Suppose that an ideal gas diesel engine comprises the following four processes: 1-2: polytropic compression with n = 9/7, p1 = 1.5 bar, p2 = 53 bar, v1/v2 = 16, v1 – v2 = 14 l 2-3: isobaric expansion, v3/v2 = 2.795 3-4: polytropic expansion with n = 9/7 4-1: isometric heat output (a) determine the unknown state variables, v1, v2, v3, v4, p3, and p4, (b) plot the p-v diagram on the axes provided. clearly label each state on the plot and clearly draw the path between each state.