# solution

A gas undergoes a thermodynamic cycle consisting of three processes:

Process 1Ă˘â‚¬â€ś2: compression with pVĂ‚Â  constant, from p1Ă‚Â  1 bar, V1Ă‚Â  1.6 m3 to V2Ă‚Â  0.2 m3 , U2Ă‚Â  U1 0

Process 2Ă˘â‚¬â€ś3: constant pressure to V3 V1

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Process 3Ă˘â‚¬â€ś1: constant volume, U1Ă‚Â  U3Ă‚Â  3549 kJ

There are no significant changes in kinetic or potential energy. Determine the heat transfer and work for Process 2Ă˘â‚¬â€ś3, in kJ. Is this a power cycle or a refrigeration cycle?

A closed system undergoes a thermodynamic cycle consisting of the following processes:

Process 1Ă˘â‚¬â€ś2: adiabatic compression with pV1.4Ă‚Â  constant from p1Ă‚Â  50 lbf/in.2 , V1Ă‚Â  3 ft3 to V2Ă‚Â  1 ft

Process 2Ă˘â‚¬â€ś3: constant volume

Process 3Ă˘â‚¬â€ś1: constant pressure, U1Ă‚Â  U3 46.7 Btu

There are no significant changes in kinetic or potential energy.

(a) Sketch the cycle on a pĂ˘â‚¬â€śV diagram.

(b) Calculate the net work for the cycle, in Btu.

(c) Calculate the heat transfer for process 2Ă˘â‚¬â€ś3, in Btu.