### Methane gas in piston-cylinder assembly goes under adiabatic

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Methane gas in a piston-cylinder assembly goes under an adiabatic (no heat transfer) quasi- equilibrium compression. (This process is called isentropic process). The pressure and volume of the gas during the process are related as PV 1.3=constant.

The initial state of the methane gas in the cylinder is identified by the absolute pressure P1=100 kPa and temperature T1=25oC and mass of methane is m1=0.2 kg . If the final state features the absolute pressure of P2=1000 kPa

a) Compute the total work done during this compression process.

b) Compute the work per unit mass (also called specific work) during this compression process.

c) Does the work done by the methane gas or the surroundings do work on the methane gas? Why?

d) Graph the process on a P-V diagram and on the diagram identifies the work done on during the process.

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