Question

At releatively high pressure,vanderwaal's equation reduces to what?

Answer 1

`p(V -nb) = nRT`

Explanation:

The van der Waals equation is

`color(blue)(bar(ul(|color(white)(a/a) (p + (n^2a)/V^2)(V - nb) = nRTcolor(white)(a/a)|)))" "`

At relatively high pressures, the pressure correction term becomes negligible in comparison with the pressure:

`(n^2a)/V^2 ≪ p`

Thus, the equation becomes the hard-sphere equation of state:

`p(V -nb) = nRT`

That is, the intermolecular forces are relatively uniform, but the gas volumes are not negligible compared to the container size.