Consider a power cycle in which air is the working fluid. The air is contained in a piston–cylinder assembly and undergoes the following processes:

State 1–State 2: Isentropic compression from the maximum volume V_max to the minimum volume V_min, where V_max = 10V_min. The initial state pressure, temperature, and volume are 100 kPa, 300 K, and 0.001 m3, respectively.

This process can be described as P_Vγ = constant, where γ is the specific-heat ratio.

State 2–State 3: Constant-volume heat addition until the temperature T₃ reaches 1000 K.
State 3–State 4: Constant-pressure heat addition until the volume equals 3V_min.
State 4–State 5: Isentropic expansion from V₄ (= 3V_min) to the maximum volume V_max. See the note for process 1–2.
State 5–State 1: Constant-volume heat rejection to return to the initial state.

A. Carefully sketch the cycle in pressure–volume coordinates. Label the state points 1, 2, 3, etc.

B. Assume the specific heats can be treated as constants with the following values: c_p = 1.008 kJ/kg · K, and c_v = 0.721 kJ/kg · K. Determine the work transfer associated with each process and the net work for the cycle.