If mole fraction, pressure fraction and volume fraction are denoted by Xmol , Xp, XV respectively, of a gaseous component, then what is the relation between them?
mole fraction = mole of component / total moles
pressure fraction = pressure of component / total pressure
volume fraction = volume of component / total volume
The Attempt at a Solution
Well, to be honest, I simply don't know where to start from. But still, have a look at my method (even if it is stupid) :
Let's assume there are 3 gaseous components.
mole fraction of 1st component (at const. temp.) = n1 / n1+n2+n3
= P1V1 /( P1V1+P2V2+P3V3) (cancelling the RT terms, T being constant) (equation 1)
=P1 / (P1+P2+P3) ..........pressure fraction assuming constant volume (from eq.1)
=V1 / (V1+V2+V3) ...........volume fraction assuming constant pressure (from eq. 1 )
So, my answer is that all three are same, which happens to be the correct answer according to my book. But i still need some clarifications, is it justified to assume volume to be constant for calculating pressure fraction? please help me out. If you find my answer to be incorrect, please give me the correct proof.