Question

The density of a salt solution is $1.13gc{m}^{-3}$ and it contains $18\%$ of $NaCI$ by weight The volume of the solution containing $36.0g$ of the salt will be

• A. $200c{m}^3$
• B. $217c{m}^3$
• C. $177c{m}^3$
• D. $157c{m}^3$

Answer 1

Answer: (C)

$177c{m}^3$

Consider the volume of the solution $=xc{m}^3$
Then the mass of the solution will be $=1.13x$
$(mass=density\times volume)$
The solution contains 18% of NaCl by weight
$\therefore \frac{18}{100}\times 1.13x=36$
$x=\frac{3600}{18\times 1.13}=177c{m}^3$