Gaseous State

Chemistry Level 2

A graph is plotted between P*Vm (Vm-Molar volume) along Y-axis and P along X-axis, where Vm is the molar volume of a real gas. Find the intercept along Y-axis

V^2 RT ab Pb

1 solution

Md Zuhair
Aug 31, 2017

We know that the Van der waal's equation for real gas is

$(P-\dfrac{a}{V_{m}^2}).(V_{m}-b)=RT$ For 1 mole of gas.

So Here $\dfrac{a}{V_{m}^2}<<1$ and hence neglected which in turn makes the equation,

$(P).(V_{m}-b)=RT$

$\implies PV_{m}-Pb=RT$

$\implies PV_{m}=Pb+RT$ $\space \space \space \space\space \text{Of the form y=mx+c, where m is slope and c is intercept on y axis}$

$\implies \text{Intercept on y axis =} \boxed{RT}$

Gaseous State

1 solution

0 pending reports