Archived Volume Expansivity of Ideal Gas

Seph79

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

2. Homework Equations

β=1/V(dV/dT)

3. 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 , any help welcome

Thanks

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DrClaude

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

"Volume Expansivity of Ideal Gas"

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