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4-14 A frictionless piston-cylinder device contains 5 kg of nitrogen at 100 kPa and 250 K. Nitrogen is now compressed slowly according to the relation PV\4 = constant until it reaches a final temperature of 360 K. Calculate the work input during this process. Answer: 408 kJ

4-14 A frictionless piston-cylinder device contains 5 kg of nitrogen at 100 kPa and 250 K. Nitrogen is now compressed slowly according to the relation PV\4 = constant until it reaches a final temperature of 360 K. Calculate the work input during this process. Answer: 408 kJ

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**Example Problem: Piston-Cylinder Device** **Problem 4-14:** A frictionless piston-cylinder device contains 5 kg of nitrogen at 100 kPa and 250 K. Nitrogen is now compressed slowly according to the relation \( PV^{1.4} = \text{constant} \) until it reaches a final temperature of 360 K. Calculate the work input during this process. _Answer: 408 kJ_ **Figure P4-14 Explanation:** The figure illustrates a piston-cylinder arrangement with nitrogen (\( N_2 \)) inside. The pressure-volume relationship follows \( PV^{1.4} = \text{constant} \), which suggests an adiabatic compression process. The piston moves to compress the nitrogen, resulting in changes to the temperature and pressure while maintaining the given relationship.
Transcribed Image Text:**Example Problem: Piston-Cylinder Device** **Problem 4-14:** A frictionless piston-cylinder device contains 5 kg of nitrogen at 100 kPa and 250 K. Nitrogen is now compressed slowly according to the relation \( PV^{1.4} = \text{constant} \) until it reaches a final temperature of 360 K. Calculate the work input during this process. _Answer: 408 kJ_ **Figure P4-14 Explanation:** The figure illustrates a piston-cylinder arrangement with nitrogen (\( N_2 \)) inside. The pressure-volume relationship follows \( PV^{1.4} = \text{constant} \), which suggests an adiabatic compression process. The piston moves to compress the nitrogen, resulting in changes to the temperature and pressure while maintaining the given relationship.
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