**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.

Given: Mass of the gas, m=5kgFinal temperature, Tf=360KInitial temperature, Ti=250KUniversal gas…

Answered: 4-14 A frictionless piston-cylinder…

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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