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Percentage Composition

A 10.0 g samp...

Question

A $10.0 g$ sample of a mixture of calcium chloride and sodium chloride is treated with a $N a_{2} C O_{3}$ solution. This calcium carbonate is heated to convert all the calcium to calcium oxide and the final mass of the calcium oxide is $1.62 g$ . The percentage by mass of calcium chloride in the original mixture is:

A

15.2 %

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B

32.1 %

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C

21.8 %

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D

11.07 %

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Solution

The correct option is B 32.1 %
$C a C l_{2} + N a_{2} C O_{3} \to C a C O_{3} + 2 N a C l$
$C a C O_{3} △ - \to C a O + C O_{2}$
$M o l e s o f C a C l_{2} = M o l e s o f C a C O_{3} = m o l e s o f C a O = \frac{1.62}{56}$
$M a s s o f C a C l_{2} = \frac{1.62}{56} \times m o l a r m a s s o f C a C l_{2} = \frac{1.62}{56} \times 111 g = 3.21 g$
Percentage mass of $C a C l_{2} = \frac{3.21}{10} \times 100 = 32.1 %$

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