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Q.

The density of 3M solution of NaCl is 1.25 g mL-1. Calculate the molality of the solution.

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a

6.79 m 

b

2.79 m 

c

4.79 m 

d

9.79 m 

answer is A.

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Detailed Solution

M=3mol   L1
Mass of NaCl
In 1 L solution = 3 x 58.5 = 175.5 g
Mass of 
1L solution = 1000 x 1.25 =1250 g
(since density  = 1.25 g mL-1)
Mass of water in solution = 1250 – 75.5
 = 1074.5g
Molality=No.  of  moles   of  soluteMass   of  solvent   in  kg
=3  mol1.0745kg=2.79m
OR 
m=M×1000dsolution×1000M×GMMofsolute

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