Derivation of Relationship Between Molality and Mole Fraction

Relationship Between Molality and Mole Fraction:

Where x₁ = Mole fraction of solvent.

x₂ = Mole fraction of solute.

M₁ = Molecular mass of solvent.

We know that,

So, molality ‘m’ means ‘m’ moles dissolved in 1000 gm of solvent; (Which has a number of moles = 1000/M₁; where M₁ = molecular mass of solvent).