If Xm, Xp and XV represent mole, pressure and volume fractions respectively, then
Xm=Xp=XV
Xm=1Xp=1XV
Xm=Xp=1XV
1Xm=1Xp=XV
n1= moles of component I p1V1RT1=p1V1RT n2= moles of component II p2V2RT2=p2V2RT Xm (of component I) =n1n1+n2=p1V1p1V1+p2V2 =V1V1+V2=XV at constant p =p1p1+p2=Xp at constant V Hence, Xm=XV=Xp