The Molar Specific Heat (internal energy)

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Homework Help Overview

The discussion revolves around the change in internal energy for one mole of an ideal diatomic gas transitioning along a diagonal path in a thermodynamic process. Participants are exploring the relationship between internal energy, temperature, and the equations governing these concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equation for internal energy in relation to temperature and attempt to reconcile different paths taken in the process. Questions arise about the specific equation for internal energy and the necessary variables to calculate it.

Discussion Status

Some participants have offered guidance on using specific equations related to internal energy and work done. There is an acknowledgment of the need for temperature change and specific heat capacity in the calculations. Multiple interpretations of the problem are being explored, particularly regarding the paths taken in the process.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information available or the methods they can employ. There is an emphasis on understanding the relationships between internal energy, heat, and work in the context of thermodynamics.

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Homework Statement


One mole of an ideal diatomic gas undergoes a transition from. a to c along the diagonal path
What is the change in internal energy?

Homework Equations





The Attempt at a Solution



I've tried to use the two other paths since the internal energy is the same both ways, but I can't see anyway to reconcile the two.
 

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What is the equation for internal energy of an ideal gas, in terms of its temperature?
 
[tex]\Delta[/tex]U=n*Cv*[tex]\Delta[/tex]T
 
You can use that equation to solve this problem. You just need:

1. the temperature change between points a and c
2. Cv
3. n
 
I figured it out... but now I need to find the work done and the total heat entered into the system. I know it has to do with
U=Q-W

and the use of the other path(ABC).
 
Yes, you'll need that equation (U=Q-W). You can also use the fact that W is the area under the curve in the P-V diagram.
 

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