The density of 3 molal solution of NaOH is 1.110 g mL-1. Calculate the molarity of the solution.

3 molal solution of NaOH means 3 moles of NaOH are dissolved in 1 kg solvent. So, the mass of solution = 1000 g solvent + 120 g NaOH = 1120 g solution
(Molar mass of NaOH=23+16+1=40g and 3 moles of NaOH=3×40=120g)
Volumeofsolution=MassofsolutionDensityofsolution
V=1120g1.110gmL-1=1009mL
Molarity=Molesofsolute×1000Volumeofsolution(mL)
=3×10001009=2.973M3M

Hint: Use the formula of molarity = \(\frac{number \ of \ mole \ solute}{volume \ of\ solution (L)}\)

Step 1:

3 molal solution of NaOH means 3 moles of NaOH are dissolved in 1 kg solvent.

So, the mass of solution = 1000 g solvent + 120 g NaOH = 1120 g solution
 
 
(Molar mass of NaOH=23+16+1=40g and 3 moles of NaOH=3×40=120g)

Step 2:
 
Volumeofsolution=MassofsolutionDensityofsolution
V=1120g1.110gmL-1=1009mL
Molarity=Molesofsolute×1000Volumeofsolution(mL)
=3×10001009=2.973M3M