Consider the air-standard diesel cycle described in Problem 9.95 operating with a compression ratio of 15 (= V_max/V_min). The air just prior to compression is at 20° C and 0.1014 MPa. The maximum cycle temperature is 2500 K. Assuming constant specific heats, determine the temperature and pressure at the beginning of each process and the thermal efficiency for the cycle.

Problem 9.95

Consider a fixed mass of air trapped in a piston cylinder assembly. The air standard  diesel cycle is defined by the following sequences of processes applied
to this system:

1-2 : Internally reversible, adiabatic compression from the maximum volume V_max to the minimum volume V_min.

2-3 : Constant-volume heat addition to a peak cycle temperature T₃. Note that  V_min < V₃ < V_max.

3-4 : Internally reversible, adiabatic expansion from V_max.

4-1 : Constant-volume heat rejection to return to the initial state.

Sketch this cycle using P–V and T–S coordinates, labeling each state point (1, 2, 3, and 4).