How to Convert Cp to Cv for Metals?

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Homework Help Overview

The discussion revolves around the conversion of heat capacity at constant pressure (Cp) to heat capacity at constant volume (Cv) specifically for metals. Participants are exploring the relevant thermodynamic relationships and equations involved in this conversion process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to recall the method for converting Cp to Cv and mentions the role of volume expansivity. Other participants provide equations related to internal energy and enthalpy, suggesting a mathematical approach to the problem.

Discussion Status

Participants are actively sharing equations and resources, indicating a collaborative effort to clarify the conversion process. While some mathematical challenges are noted, there is a sense of progress as helpful resources are exchanged.

Contextual Notes

There is mention of a specific textbook and a chapter summary that may contain relevant examples, indicating that participants are working within the constraints of available resources and prior knowledge.

Walkingman
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Can someone please remind me how to convert values of Heat capacaty at constant pressure to heat capacity at constant volume? I believe it has something to do with the volume expansivity (1/V)*(dV/dT) at constant pressure, but I can't find my therm textbook and I can't remember how to proceed.
 
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Here are some useful relations:

[tex]\frac{du}{dT}= C_v (T)[/tex]

[tex]\frac{dh}{dT}= C_p (T)[/tex]

[tex]h = u + Pv[/tex]
 
Thanks, that link helped!

:smile:
 

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