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Question

An aqueous solution of ethanol has a density of 1.025 g/mL and concentration 2 M. What is the molality of this solution?
  1. 1.79 m
  2. 2.14 m
  3. 1.95 m 
  4. None of these


Solution

The correct option is B 2.14 m
Let the volume of solution be 1000 mL.
Weight of solution =1.025×1000=1025 g
Molarity of ethanol is 2 M i.e it contains 2 moles per 1000 mL of the solution.
Mass of ethanol = 2 mol × 46 g/mol = 92 g
Mass of solvent (water) = mass of solution – mass of solute (ethanol)  
Mass of water = 1025 g – 92 g = 933 g 

Molality=Moles of solutemass of solvent (g)×1000
              =2933×1000=2.14 m 

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