A system consists of 2 kg of carbon dioxide gas initially at state 1, where P1 = 100 kPa, T1 = 300 K. The system undergoes a power cycle consisting of the following closed processes:
Process 1-2: Constant volume heating to P2 = 400 kPa
Process 2-3: Polytropic expansion where Pv1.28 = constant
Process 3-1: Constant pressure compression
Assuming the ideal gas model and variable specific heats,
a) Sketch the cycle on a P-v diagram, clearly labeling each state
b) Calculate the work for each process in kJ
b) Calculate the heat transfer for each process in kJ