What is the temperature of the gas?

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    Gas Temperature
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Homework Help Overview

The problem involves determining the temperature of a gas given its thermal energy and molar specific heat at constant pressure. The context is rooted in thermodynamics and the behavior of gases.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to calculate the temperature using the provided thermal energy and specific heat, but questions the validity of their result. Participants discuss the appropriate specific heat to use, indicating a need for clarification on the distinction between constant pressure and constant volume specific heats.

Discussion Status

Participants are actively engaging in clarifying the correct specific heat to apply in the calculation. There is a suggestion to refer to textbook resources for understanding the relationship between the specific heats, indicating a productive direction in the discussion.

Contextual Notes

There is a mention of the molar specific heat at constant pressure being provided, but confusion arises regarding the correct specific heat to use for the calculation. The original poster's calculation appears to be based on an incorrect assumption about the specific heat.

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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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