P-V diagram

A gas in a piston-cylinder assembly undergoes a process during which the pressure-specific volume is related as PV’ 3 = Constant. The mass of the gas is 0.5 Ibm; the Initial pressure is 170 psia, volume is 1.2 ft3. The final pressure is 420 psia. There is a heat transfer from the gas of 4.1 Btu during the process. Kinetic and potential energy changes are negligible. (Hint: Watch “Closed System-EB-Polytropic process”)
(i) Sketch a P-V diagram showing the process.
(ii) Determine the volume at the final pressure.
(iii) Determine the work done by the system
(iv) Determine the change in specific internal energy, in Btu/Ibm.

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