Q. A sample of a mixture of $CaCl_{2}$ and $NaCl$ weighing 4.22 g was treated to precipitate all the $Ca$ as $CaCO_{3}$. This $CaCO_{3}$ is then heated and quantitatively converted into 0.959 g of $CaO$. Calculate the percentage of $CaCl_{2}$ in the mixture. (Atomic mass of $Ca = 40,O = 16,C = 12$ and $Cl = 35.5$)

A) 31.5%
B) 21.5%
C) 45.04%
D) 68.48%
Explanation

(c)
$CaCl_{2} + CO_{3}^{2 -} \longrightarrow CaCO_{3} + 2Cl^{-}$
111 g 100g
$CaCO_{3} \longrightarrow CaO + CO_{2}$
100 g 56g
$\because$ 56 g $CaO$ is obtained by decomposition of
$CaCO_{3} = 100g$
$\therefore$ 0.959 g $CaO$ will be obtained by the decomposition of
$CaCO_{3} = \frac{100 \times 0.959}{56}$
$= 1.71$g
Further,
$100\ g\ CaCO_{3} \equiv 111gCaCl_{2}$
$1.71g\ CaCO_{3} = \frac{111 \times 1.71}{100}$
=1.89 $g\ CaCl_{2}$
% of $CaCl_{2}\$ in the mixture $= \frac{1.89}{4.22} \times 100$
$= 44.78$
$= 45\%$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.