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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 $CCl _4=1.6\, g \,cm ^{-3}$ ]

JEE MainJEE Main 2023Some Basic Concepts of Chemistry

Solution:

( $10\, ml$ solute in $90 \,ml$ solvent
mass of solute $=10 \times 3.2=32 \,g$
mass of solvent $=90 \times 1.6 \,g$
$m =\frac{32 \times 1000}{160 \times 90 \times 1.6}=1.388$
$m-138.8 \times 10^{-2}-139$