A piston-cylinder device initially contains 0.054 m^3 of nitrogen gas at 150 kPa

Question

A piston-cylinder device initially contains 0.054 m^3 of nitrogen gas at 150 kPa and 115 C. The nitrogen is now expanded to a pressure of 110 kPa polytropically with a polytropic exponent whose value is equal to the specific heat ratio ( called isentropic expansion). Determine the final temperature and the boundary work done during this process. A piston-cylinder device initially contains 0.054 m of nitrogen gas at 150 kPa and 115°C·The nitrogen is now expanded to a pressure of 110 kPa polytropically with a polytropic exponent whose value is equal to the specific heat ratio (called isentropic expansion). Determine the final temperature and the boundary work done during this process K (Round to one decimal place) |kJ (Round to two decimal places) kJ (Round to two decimal places) wb =

Explanation / Answer

Ans. P1V1 = P2V2

V2 = 150 * 0.054 / 110 = 0.073 m^3 = 73L

T1 = 115 0c = 388K

P1V1 / T1 = P2V2/T2

T2 = P2V2T1/P1V1 = 110 * 0.073* 388 / 150* 0.054 = 384.6K

  

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