Required information A gas is compressed from an initial volume of 0.42 m³ to a final volume of 0.12 m³. During the quasi-equilibrium process, the pressure changes with volume according to the relation P= aV+b, where a = - 1200 kPa/m³ and b= 1000 kPa. Gas P = a + b Calculate the work done during this process by performing the necessary integration. (Include a minus sign if necessary.) The work done is kJ.
Required information A gas is compressed from an initial volume of 0.42 m³ to a final volume of 0.12 m³. During the quasi-equilibrium process, the pressure changes with volume according to the relation P= aV+b, where a = - 1200 kPa/m³ and b= 1000 kPa. Gas P = a + b Calculate the work done during this process by performing the necessary integration. (Include a minus sign if necessary.) The work done is kJ.
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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![### Required Information
A gas is compressed from an initial volume of 0.42 m³ to a final volume of 0.12 m³. During the quasi-equilibrium process, the pressure changes with volume according to the relation \( P = aV + b \), where \( a = -1200 \, \text{kPa/m}^3 \) and \( b = 1000 \, \text{kPa} \).
#### Diagram Explanation
The diagram shows a piston-cylinder device containing gas. The cylinder is sealed with a movable piston. The pressure inside is given by the equation \( P = aV + b \).
### Calculation
Calculate the work done during this process by performing the necessary integration. (Include a minus sign if necessary.)
The work done is [ ] kJ.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F671be518-f9e6-4df9-9304-33791fefeccb%2F7456eabe-bdbd-44f8-8e4c-1f5613add0aa%2Fbz85pe_processed.png&w=3840&q=75)
Transcribed Image Text:### Required Information
A gas is compressed from an initial volume of 0.42 m³ to a final volume of 0.12 m³. During the quasi-equilibrium process, the pressure changes with volume according to the relation \( P = aV + b \), where \( a = -1200 \, \text{kPa/m}^3 \) and \( b = 1000 \, \text{kPa} \).
#### Diagram Explanation
The diagram shows a piston-cylinder device containing gas. The cylinder is sealed with a movable piston. The pressure inside is given by the equation \( P = aV + b \).
### Calculation
Calculate the work done during this process by performing the necessary integration. (Include a minus sign if necessary.)
The work done is [ ] kJ.
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