The molality of a 10% solution of di-bromine solution in (carbon tetrachloride) is . . (Nearest integer) [Given: molar mass of = 160 g atomic mass of C = 12 g atomic mass of Cl = 35.5 g density of dibromine = 3.2 g density of = 1.6 g ]

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Solution

Q.
The molality of a 10% $(v / v)$ solution of di-bromine solution in ${CCl}_{4}$ (carbon tetrachloride) is $‘ x ’$ .

$x =______\times 10^{- 2} m$ . (Nearest integer)

[Given:
molar mass of ${Br}_{2}$ = 160 g ${mol}^{- 1}$
atomic mass of C = 12 g ${mol}^{- 1}$
atomic mass of Cl = 35.5 g ${mol}^{- 1}$
density of dibromine = 3.2 g ${cm}^{- 3}$
density of ${CCl}_{4}$ = 1.6 g ${cm}^{- 3}$ ] [2023]

Ans.
(139)

$Molarity 10 % = \frac{V}{V}$

Solvent = ${CCl}_{4}$ , Solute = ${Br}_{2}$

100 mL has 10 mL ${Br}_{2}$ and 90 mL ${CCl}_{4}$

   $m = 10 \times 3.0 = 32 g$

   $n = \frac{32}{160} = \frac{1}{5} mol$

$m_{{CCl}_{4}} = 90 \times 1.6$

$= 144 g = 0.144 kg$

   $m = \frac{1 / 5}{0.144} = 1.39 = 139 \times 10^{- 2}$

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