Calculate the final temperature and volume

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The discussion revolves around calculating the final temperature and volume of a perfect gas undergoing adiabatic expansion. Participants seek clarification on using the ideal gas law (pV=nRT) to determine initial volume and the relationship between work done and internal energy in an adiabatic process. It is emphasized that the internal energy of an ideal gas can be calculated using specific formulas, such as U = nC_vT. Additionally, users are advised to start new threads for new questions to maintain clarity in discussions. The conversation highlights the importance of understanding thermodynamic principles in solving gas-related problems.
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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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