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In: Mechanical Engineering

A closed piston-cylinder system undergoes a cycle: ​Process 1 to 2 is an expansion process where...

A closed piston-cylinder system undergoes a cycle:
​Process 1 to 2 is an expansion process where heat is added. The temperature remains constant.
Process 2 to 3 is a constant volume heat addition process.
​Process 3 to 4 is a compression process where heat is lost. The pressure remains constant.
​Process 4 to 1 is polytropic expansion, Pvn​=constant with n=1.4 and it is adiabatic (Q=0).
​Assume air, ideal gas, with constant specific heats, k=1.4. R=.287kJ/kgK
​State 1: T=300K, P=150kPa
​State 2: T=300K, P=100kPa
State 3: P=600kPa
​State 4: P=600kPa

​a.) Find the temperature for State 3 and State 4.
​b.) For all 4 States, find volume(m3/kg)
​c.) For each process, (1-2, 2-3, 3-4, 4-1), find Q/m(kJ/kg), W/m(kJ/kg), and Δu(kJ/kg)
​d.) Plot all 4 States on a P-v diagram
​e.) Is this a power or refrigeration cycle?
​f.) Calculate the efficiency or coefficient of performance based on your answer to part e.

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