Volume Expansivity of Ideal Gas

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Homework Statement


Calculate the volume expansivity, β, for one mole of ideal gas at constant pressure and at room temperature.


Homework Equations



β=1/V(dV/dT)

The Attempt at a Solution



Bit stumped on this one, I'm guessing they want it in terms of P as P is not specified.
I used equation of state with n=1 giving PV=RT

> V=RT/P

> β=P/RT(dV/dT)

As the temperature and pressure are constant would dV/dt be zero?
Its from here I am stuck :confused: , any help welcome

Thanks
 

Answers and Replies

  • #2
DrClaude
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If V=RT/P, then (dV/dt) = R/P for P = const. Therefore
$$
\beta = \frac{1}{V} \left( \frac{d V}{d T} \right) = \frac{P}{RT} \frac{R}{P} = \frac{1}{T}
$$
 

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