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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 PV14= constant until it reaches a final temperature of 360 K. Calculate the work input during this process.

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 PV14= constant until it reaches a final temperature of 360 K. Calculate the work input during this process.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Problem Statement:** 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. **Explanation:** This problem involves a thermodynamic process where nitrogen gas in a piston-cylinder device undergoes compression. The compression follows a specific polytropic process described by \( PV^{1.4} = \text{constant} \). The initial conditions provided are a pressure of 100 kPa and a temperature of 250 K, with the nitrogen mass being 5 kg. The process continues until the temperature of the nitrogen reaches 360 K. The task is to calculate the work input required for this compression process.
Transcribed Image Text:**Problem Statement:** 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. **Explanation:** This problem involves a thermodynamic process where nitrogen gas in a piston-cylinder device undergoes compression. The compression follows a specific polytropic process described by \( PV^{1.4} = \text{constant} \). The initial conditions provided are a pressure of 100 kPa and a temperature of 250 K, with the nitrogen mass being 5 kg. The process continues until the temperature of the nitrogen reaches 360 K. The task is to calculate the work input required for this compression process.
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