Ideal Gas Equation | Find Gas Temperature

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Homework Help Overview

The discussion revolves around the ideal gas equation in the context of a problem involving the compression of an ideal gas. The original poster presents a scenario where three moles of gas are compressed, and the task is to find the temperature of the gas while maintaining constant temperature during the process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the ideal gas law but expresses uncertainty about solving for temperature due to having two variables. Some participants suggest the need for additional relationships between pressure, volume, and energy, while others provide hints related to work and force.

Discussion Status

The discussion is ongoing, with participants exploring various relationships and concepts relevant to the problem. Some guidance has been offered regarding the nature of the process as isothermal, and links to external resources have been shared for further clarification.

Contextual Notes

Participants are navigating the constraints of the problem, including the requirement to maintain constant temperature and the implications of work done on the gas. There is a recognition of the need for more information to resolve the variables involved.

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Homework Statement


Three moles of an ideal gas are compressed from 5.5 * 10^-2 to 2.8 * 10^-2 m3. During the compression, 6.5 * 10^3 J of work is done on the gas, and heat is removed to keep the temperature of the gas constant at all times.


Find the temperature of the gas.



Homework Equations


pv=nRT


The Attempt at a Solution


I plugged into the above equation so I have p(.028)=3(8.31)T but I don't know how to solve this since there are two variables.
 
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You also need a relationship between pressure, volume an energy
hint - work = force * distance
 
mgb_phys said:
You also need a relationship between pressure, volume an energy
hint - work = force * distance

U = f*d+Q
U = A*p*d+Q
U = p*V+QDoes that seem right?
 
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