A piston-cylinder assembly contains nitrogen gas at 600 kPa and 300 K. The initi

Question

A piston-cylinder assembly contains nitrogen gas at 600 kPa and 300 K. The initial volume of the piston-cylinder assembly is 0.8 m3. Now the gas is compressed isothermally to a volume of 0.2 m3. This process is an internally reversible process and a polytropic process. In this question, nitrogen is assumed to be an ideal gas. Which of the following values is closest to the absolute value of the work done on the gas during this compression process? (Hints: For isothermal compression of an ideal gas, the polytropic index is 1.)

746 kJ

0

665 kJ

998 kJ

1382 kJ

Explanation / Answer

work done during an isothermal process = P1V1 ln (V2 / V1)

= 600*10^3*0.8* ln (0.8 / 0.2)

= 665421 J

= 665.42 J

so third option is the correct answer

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