The density of 3 M solution of NaCl is 1.0 g . Molality of the solution is ______ m. (Nearest Integer). Given: Molar mass of Na and Cl is 23 and 35.5 g respectively. [2023]

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Solution

Q.
The density of 3 M solution of NaCl is 1.0 g ${mL}^{- 1}$ . Molality of the solution is ______ $\times 10^{- 2}$ m. (Nearest Integer).

Given: Molar mass of Na and Cl is 23 and 35.5 g ${mol}^{- 1}$ respectively. [2023]

Ans.
(364)

$Molality (m) = \frac{M \times 1000}{1000 \times d - M \times M_{solute}}$

$= (\frac{3 \times 1000}{1000 \times 1 - 3 \times 58.5})$

$= 3.6386 m$

$= 363.86 \times 10^{- 2} m = 364$

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