Calculate the final temperature and volume

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Homework Help Overview

The discussion revolves around the behavior of a perfect gas undergoing adiabatic expansion. The original poster presents a scenario involving one mole of gas with specified initial conditions and seeks to determine the final temperature and volume, as well as the work done during the process.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore the use of the ideal gas law to find initial volume and question the relationship between work done and internal energy in an adiabatic process. There is also a request for clarification on the formulas for calculating internal energy of an ideal gas.

Discussion Status

Some participants are engaging in clarifying the concepts related to adiabatic processes and the relevant equations. There is a mix of attempts to derive initial conditions and inquiries about the internal energy calculation, with no clear consensus yet on the approach to take.

Contextual Notes

There are indications of confusion regarding the application of formulas and the assumptions underlying the adiabatic process. Additionally, one participant has reiterated a request for help, suggesting a potential lack of familiarity with the topic.

kingyof2thejring
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Homework Statement


One mole of a perfect gas with molar heat capacity at constant volume, CV = 20.8 J K-1mole-1 is initially at 310 K and 3.25 x 105 Pa. It then expands adiabatically until it reaches a pressure of 2.50 x 105 Pa.
Calculate the final temperature and volume, and the work done.



Homework Equations


U(internal energy)=3/2RT
pV=RT

The Attempt at a Solution


to get the initial V do i use pV=RT?
Is work done = internal energy in an adiabatic process WD=3/2RT?
thanks in advance
 
Last edited:
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If the system exchanges no heat energy with it's surroundings, then how could your conclusion be wrong?
 

Homework Equations


U(internal energy)=3/2RT
U = nC_vT = (3n/2)RT
pV=nRT

The Attempt at a Solution


to get the initial V do i use pV=RT?
Is work done = internal energy in an adiabatic process WD=3/2RT?
thanks in advance
You have to use n: PV = nRT and W = 3n/2 RT

AM
 
Is there anyone who can help me in this regard...this is the first message i am posting in this forum

I want to calculate internal energy of an ideal gas. Are there any formulae for that or is there any method to calculate internal energy.

Thanks in advance if anyone can help me in this regard.
 
karthikmece said:
Is there anyone who can help me in this regard...this is the first message i am posting in this forum

I want to calculate internal energy of an ideal gas. Are there any formulae for that or is there any method to calculate internal energy.

Thanks in advance if anyone can help me in this regard.

If you are going to ask a new question - start a new thread. But, yes, there is a formula for internal energy of an ideal gas. Look it up. Or just look at the preceding posts...
 

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