What is the molarity of a 5.39 m solution of benzene (c 6 h 6 ) dissolved in toluene (c 7 h 8 ), given that the solution has a density of 0.869 g/ml?

The formula used to determine the molarity is:

   -(1)

Molality =   (given)

As, molality =

That means 5.39 moles of solute are present in 1000 g of solvent.

Moles of solute, benzene = 5.39 moles.

Molar mass of benzene,

Using, we can determine the mass of benzene as:

Mass of solvent = 1000 g

Mass of solution = mass of solute + mass of solvent

Mass of solution =

Density of solution =  (given)

Since,

So, Volume of solution = =

Since,

So, volume of solution =

Substituting the values in formula (1):

Hence, the molarity of the solution is .