Temperature and internal energy question

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Homework Help Overview

The discussion revolves around determining the temperature of a substance using its internal energy (U), volume (V), and number of moles (N). Participants explore the relationship between these variables, particularly in the context of ideal gases.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of the ideal gas law (PV = nRT) and question how internal energy relates to pressure and temperature. Some suggest that additional information may be necessary to fully resolve the problem, while others mention the need to consider the temperature dependence of heat capacity.

Discussion Status

The discussion is active, with participants offering various perspectives on the problem. Some have provided formulas that may be relevant, while others are seeking more context about the specific problem to assist further.

Contextual Notes

One participant notes that the problem involves ranking temperatures of ideal gases based on different internal energy values, number of molecules, and volumes, indicating a comparative aspect to the question.

synx
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How can I find the temperature of something if I'm give the internal energy(U), volume(V), and number of moles(N). I thought it'd just be pv = nrt but I am not sure what to do with the internal energy or how to use it with pressure. Thanks.
 
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synx said:
How can I find the temperature of something if I'm give the internal energy(U), volume(V), and number of moles(N). I thought it'd just be pv = nrt but I am not sure what to do with the internal energy or how to use it with pressure. Thanks.
I think you will need more than the internal energy, volume and number of moles even if it is an ideal gas. You will need to know an initial state (ie. P,V, n or V, T, n or P, T, n or P, V, T) and the change in internal energy and volume. This is because the heat capacity of a gas is somewhat temperature dependent so although dU = nC_vdT it is not necessarily true that U = nC_vT.

Why not just give us the whole problem and we'll see if we can help you.

AM
 
It's just a ranking task that says Rank from greatest to least the temperatures of the ideal gases below that contain various amounts of internal energy and vorious number of molecules in various volumes." Each case has different internal energy, number of molecules, and volume.
 
You need to use the formula U=3/2nkT. It can also be useful in forms like U=3/2NRT and U=3/2PV by using the Ideal Gas Law
 

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