Thermodynamics: finding work done

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Homework Help Overview

The discussion revolves around a thermodynamics problem involving the isothermal and reversible expansion of gas in a closed system. The original poster presents a scenario where a specific mass of gas is expanded from one pressure to another, seeking to determine the work done during this process.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the initial approach to finding work, with some suggesting the need for a deeper understanding of the equations involved, particularly regarding the relationship between pressure and volume changes. Others express uncertainty about how to begin solving the problem and seek clarification on relevant equations.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and questioning the assumptions made about the nature of the work involved. Some guidance has been offered regarding the need for integration in the context of the work done, but no consensus has been reached on a specific method or solution.

Contextual Notes

There is a mention of the original poster's desire to avoid receiving direct answers, indicating a focus on understanding the problem rather than simply obtaining a solution. Additionally, there is a debate about whether the problem requires calculus or can be approached with algebraic methods.

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Homework Statement



In a closed system 0.4kg of gas at 374K is expanded isothermally and reversibly from 1MPa pressure to 300kPa. Given that Cv = 718j/kg and R = 287j/kg, determine the work done.[/B]

Homework Equations


Not sure? I guess W = p*V?

The Attempt at a Solution


I honestly don't know how to solve this one.
 
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NB: I don't want anyone to do this for me, in case anyone thinks I'm trying to cheat. I just want someone to point me in the right direction because I honestly don't know where to begin figuring this out.
 
What is the equation for the differential work dW done by a gas on its surroundings in terms of the external force per unit area Pext and the differential change in volume dV? For a reversible process, how is the external force per unit area Pext related to the gas pressure?

Chet
 
Chestermiller said:
What is the equation for the differential work dW done by a gas on its surroundings in terms of the external force per unit area Pext and the differential change in volume dV? For a reversible process, how is the external force per unit area Pext related to the gas pressure?

Chet
Chet, I'm sure this is an algebra based physics question, not calculus.
 
DrewHizzy said:
Chet, I'm sure this is an algebra based physics question, not calculus.
Really. What makes you think so? This problem can not be solved correctly unless PdV is integrated, or the person has a formula for the result of the PdV integration.

Chet
 

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