Ideal Gas Problem: Proving Coefficient of Volume Expansion

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Homework Help Overview

The discussion revolves around proving the coefficient of volume expansion for an ideal gas, specifically under the condition of constant pressure. The context involves the ideal gas law, represented by the equation pv=nrt, and its implications for volume changes with temperature.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are exploring the relationship between volume expansion and temperature, questioning the definition and equations relevant to the coefficient of volume expansion. There are attempts to derive the coefficient from the ideal gas law and to clarify the starting point for the proof.

Discussion Status

The discussion is ongoing, with participants seeking guidance and clarification on definitions and equations. Some have suggested starting with the expression for the coefficient of volume expansion, indicating a productive direction for further exploration.

Contextual Notes

There is an indication of stress among participants, suggesting that the problem may be challenging. The need for clear definitions and equations is emphasized, highlighting potential gaps in understanding.

Luongo
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The pressure , volume , number of moles , and Kelvin temperature of an ideal gas are related by the equation pv=nrt, where r is a constant. Prove that the coefficient of volume expansion for an ideal gas is equal to the reciprocal of the Kelvin temperature if the expansion occurs at constant pressure
 
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please help guys I am so stressed out =(
 
can anyone please point me in the write direction
 
What definition or equation do you have for the coefficient of volume expansion? That would be a good place to start.
 
Luongo said:
The pressure , volume , number of moles , and Kelvin temperature of an ideal gas are related by the equation pv=nrt, where r is a constant. Prove that the coefficient of volume expansion for an ideal gas is equal to the reciprocal of the Kelvin temperature if the expansion occurs at constant pressure
Start with the expression for the coefficient of volume expansion. Since V = nRT/P, what is
[tex]\left(\frac{\partial{V}}{\partial{T}}\right)_{P}\right)[/tex]?

AM
 

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