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Question

Chemistry Question on Some basic concepts of chemistry

The density of 3M3M solution of sodium chloride is 1.252gmL11.252\, g\, mL^{-1}. The molality of the solution will be: (molar mass, NaCl=585gmol1NaCl = 585\, g\, mol^{-1})

A

260 m

B

2.18 m

C

2.79 m

D

3.00 m

Answer

2.79 m

Explanation

Solution

The relation between molarity (M) and molality (m) is
d=M(1m+M21000),M2=d=M\left(\frac{1}{m}+\frac{M_{2}}{1000}\right), M_{2}= Mol. mass of solute
On putting value
1.252=3(1m+58.51000)1.252=3\left(\frac{1}{m}+\frac{58.5}{1000}\right)
on solving m=2.79m = 2.79