A solution contains 1 mol of total amount of solute and solvent

CHEMISTRY · Multi-part · CBSE · Chemistry · Some Basic Concepts of Chemistry · Some Basic Concepts of Chemistry

Problem

A solution contains 1 mol of total amount of solute and solvent. The mole fraction of solute being

X_1

and that of solvent being

X_2

, prove : (a)

X_1 = \frac{MM_2}{\rho + M(M_2 - M_1)}

where

M_1

and

M_2

are molar masses of solute and solvent respectively and

M

is molarity of solution;

\rho

is density of solution in

\text{g/dm}^3

. (b)

M = \frac{X_1 \rho}{M_2}

for dilute solution;

\rho

is density of solvent.