Answered: Nitrogen gas at constant pipeline…

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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Need help with this book problem using thermodynamics

Nitrogen gas at constant pipeline conditions of 200 kPa and 300 K passes slowly through a valve into a well-insulated, frictionless, and initially evacuated piston-cylinder assembly. A pressure of 150 kPa in the cylinder is needed to support the piston due to its own weight and the ambient atmosphere. The volume under the piston is 1 m3 at the end of the process. Find (a) the boundary work done during this process, (b) the final temperature of the nitrogen in the cylinder, and (c) the mass that enters the cylinder during the process.

**Transcription for Educational Website:**

Nitrogen gas at constant pipeline conditions of 200 kPa and 300 K passes slowly through a valve into a well-insulated, frictionless, and initially evacuated piston-cylinder assembly. A pressure of 150 kPa in the cylinder is needed to support the piston due to its own weight and the ambient atmosphere. The volume under the piston is 1 m³ at the end of the process. Find (a) the boundary work done during this process, (b) the final temperature of the nitrogen in the cylinder, and (c) the mass that enters the cylinder during the process.

**Diagram Explanation:**

The diagram illustrates a piston-cylinder assembly. The cylinder is shown as a rectangular container with a movable piston on top. The piston is represented by a thick black line and fits snugly within the cylinder's walls, which are depicted in blue.

Beneath the cylinder, there is an incoming line for the nitrogen gas indicated by an arrow pointing into the cylinder. It includes the notation \( m_{in}, h_L \) next to the line. This suggests that the mass inflow and specific enthalpy of the nitrogen are being considered in the analysis.

The system allows the study of work done by the gas, its temperature change, and mass transfer during the gas filling process.

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