Question

You have a solution that is 18.5 % (v/v) methyl alcohol. If the bottle contains 1.30 L of solution, what is the volume ( V ) in milliliters of methyl alcohol?

Answer 1

1) Percent by volume.

`\%=\frac{millilitersofsolute_{}}{millilitersofsolution_{}}\cdot100_{}`

List known values

Solute: methyl alcohol

Solution: 1.30 L.

Convert L into mL

`L=1.30L\cdot(1000mL)/(1.00L)=1300mL`

2) Plug in known values

`18.5\%=\frac{\text{milliliters of methyl alcohol}}{1300mL}\cdot100`

3) Solve for volume of methyl alcohol.

`18.5\%\cdot(1300mL)/(100)=\frac{milliliters\text{ of methyl alcohol}}{1300mL}\cdot100\cdot(1300mL)/(100)`
`mL\text{ methyl alcohol=18.5}\%\cdot(1300mL)/(100)=240.5mL\text{ methyl alcohol}`

The bottle contains 240.5mL of methyl alcohol.