What volume of diethly ether must be mixed with `0.125 L` water to form a solution in which the volume precent of the diethyl ether is `3.2%`?

Options

A. `0.0041 L`
B. `0.0037 L`
C. `0.0027 L`
D. `0.0078 L`

Answer

1

Explanation

Volume -Volume units are convenient for liquid-liquid solutions.
Volume rather than the masses of the components. It is defined by
Volume precent
`=("Volume of pure component")/("sun of the volumes of each component")xx100%`
For a two components solution:
`"Volume precent"_(1)=V_(1)/(V_(1)+V_(2))xx100%`
where `V_(1)` is the volume of component when it is pure and `V_(2)` is the volume of component when it is pure. In general, the volume of the solution is not sum of the volumes of the individual components. For example, a mixture of `0.500 L` water and `0.500 L` ethanol occupies a volume of only `0.965 L`. In the present case, let x equal the required volume (in litres) of diethyl ether. Then the volume precent of diethyl ether is defined as
`x/(x+0.125 L)xx100%=3.2%`
`x=0.0041 L` diethyl ether