Question

A solution contains $x$ ml of ethyl alcohol mixed with 100ml of water. The concentration of the solution is 28.6% in terms of volume by volume percentage. Find $x$.

• A. 50ml
• B. 40ml
• C. 30ml
• D. 20ml

Answer 1

The correct option is D

20ml

Let the volume of ethyl alcohol (solute) be $x$ ml
Volume of water (solvent) = 100ml
Total volume of solution = 100 + $x$
Volume by volume % = $\frac{volumeofsolute}{volumeofsolution}\times 100$
$⟹$ $\frac{X}{100+X}\times 100$ = 28.6

100x = 28.6x + 2860

71.4x = 2860

x = 40 ml
Solving the above equation, we get $x$ = 40ml