Read the problem carefully and identify the values given for the moles of the solute and weight of the solvent.
Apply the molality formula and substitute the given values in order to get the molality value.
Molality(M): $\frac{Number\ of\ moles\ of\ solute}{Weight\ of\ solvent\ in\ kg}$
Check the molality values are in specified units.
If 250c.c solution contains 4g NaOH , find out the molality of the solution, if the density of the solution is 1.02g/ml.
From the data
Weight of solution = 250c.c $\times$ 1.02g/c.c = 255g
Hence weight of solvent = (255-4) = 251g
Molality = $\frac{4}{40}$ $\times$ $\frac{1000}{251}$ = 0.392.
The molality is expressed as 0.392 mol/kg.
The molality of the given solution is 0.392 mol/kg.
Concentrated HCl is 37% by weight, calculate the molality of the solution.
From the data 100g solution contains 37g HCl.
Hence weight of solvent = (100-37) = 63g
Molality = $\frac{W}{M}$ $\times$ $\frac{1000}{weight\ of\ solvent}$
= $\frac{37}{36.5}$ $\times$ $\frac{1000}{63}$
= $\frac{37000}{2299.5}$ = 16.09
The molality is expressed as 16.09 mol/kg
The molality of the given concentrated HCl solution is 16.09 mol/kg.