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  4. The density of 3M solution of sodium chloride is 1.252 g mL-1. The molality of the solution will be: (molar mass, NaCl = 585 g mol-1)

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Q. The density of $3M$ solution of sodium chloride is $1.252\, g\, mL^{-1}$. The molality of the solution will be:
(molar mass, $NaCl = 585\, g\, mol^{-1}$)

JEE MainJEE Main 2013Some Basic Concepts of Chemistry

Solution:

The relation between molarity (M) and molality (m) is
$d=M\left(\frac{1}{m}+\frac{M_{2}}{1000}\right), M_{2}=$ Mol. mass of solute
On putting value
$1.252=3\left(\frac{1}{m}+\frac{58.5}{1000}\right)$
on solving $m = 2.79$