60 g of solution containing 40% by mass of $N a C l$ are mixed with 100 g of a solution containing 15% by mass $N a C l$ . Determine the mass percent of sodium chloride in the final solution.

24.4 %

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78 %

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48.8 %

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19.68 %

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Solution

The correct option is A 24.4 %
$M a s s o f N a C l i n 40 % s o l u t i o n = \frac{40}{100} \times 60 = 24 g$

$M a s s o f N a C l i n 15 % s o l u t i o n = \frac{15}{100} \times 100 = 15 g$
$T o t a l m a s s o f N a C l i n r e s u l t i n g s o l u t i o n = 24 + 15 = 39 g$
$T o t a l m a s s o f f i n a l s o l u t i o n = 60 + 100 = 160 g$
$M a s s p e r c e n t o f N a C l i n f i n a l s o l u t i o n = \frac{39}{160} \times 100 = 24.4 %$

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