Chemistry - Concentration Terms Question with Solution | TestHub

To relate molarity ($C_2$) to mole fraction ($x_2$) and density ($d$):

Molarity is defined as:

$C_2=\frac{molesofcomponent2}{volumeofsolution(L)}$

Mole fraction is defined as:

$x_2=\frac{n_2}{n_1+n_2}$

The mass of the solution is given by:

$Massofsolution=n_1{M}_1+n_2{M}_2$

The volume of the solution can be calculated using its mass and density:

$Volumeofsolution=\frac{mass}{density}=\frac{n_1{M}_1+n_2{M}_2}{d}$

Substitute these expressions into the molarity definition and simplify to obtain the following relationship:

$$C_2=\frac{1000{\mathrm{dx}}_2}{{\mathrm{M}}_1+{\mathrm{x}}_2({\mathrm{M}}_2-{\mathrm{M}}_1)}$$