Derive the relationship between the elevation of boiling point and molar mass of non-volatile solute.

Explanation

`P _("solution") prop x_(A)` by Raoult.s law
where `x _(A)` is the mole fraction of the solvent
` P _("solution") = k x_(A)` when `x _(A) =1,k =p_("solvent")^(0)`
`p _("solvent"_^(0)=` partial pressure of pure solvent.
`P _("solution")=` partial pressure of pure solvent.
`P_("solution") = P_("solvent")^(0) x _(A)`
`(P _("solution"))/(P _("solvent")^(0)) =x_(A)`
` 1- (P _("solution")/(P _("solvent")^(0)) =1-x_(A)`
`therefore (P_("solvent"^(0) -P_("solution"))/(P_(solvent"^(0))=x _(B)`
where ` x _(B)=` mole fraction of the solute
`x _(A) + x _(B) =1`
`therefore x _(B) =1-x_(A)`
`(P ^(@) -P)/(P^(@)) =x_(B)`