What is the temperature of the gas?

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The discussion centers on calculating the temperature of a gas with a given number of atoms and thermal energy. The initial calculation used the wrong specific heat, leading to an incorrect temperature result of 181 K. Participants clarify that the correct specific heat to use is Cv, not Cp. The relationship between these two specific heats is emphasized as crucial for accurate calculations. The user ultimately resolves the confusion and acknowledges the need to refer to their textbook for further understanding.
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Homework Statement



A gas of 8.00×10^19 atoms or molecules has 0.500 J of thermal energy. Its molar specific heat at constant pressure is 20.8 J/mol K.

Homework Equations



T = 0.5/(N*specific heat)

The Attempt at a Solution



I divided 8.00*10^19 by Avogadro's Constant to get the number of moles. Than I did .5/(N*20.8 J/mol K) and got 181 K. But that seems to be incorrect. Anyone know why?
 
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Why does it seem incorrect?

Edit: The molar heat at constant pressure is given!

ehild
 
Last edited:
You're using the wrong specific heat.
 
What specific heat do I use?
 
Use Cv.

ehild
 
Wait how do I calculate Cv?
 
That's something you need to figure out. The relationship between cp and cv is surely talked about in your textbook.
 
Thanks, I got it now.
 
Last edited:

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