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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?

Sagot :

1) Percent by volume.

[tex]\%=\frac{millilitersofsolute_{}}{millilitersofsolution_{}}\cdot100_{}[/tex]

List known values

Solute: methyl alcohol

Solution: 1.30 L.

Convert L into mL

[tex]L=1.30L\cdot\frac{1000mL}{1.00L}=1300mL[/tex]

2) Plug in known values

[tex]18.5\%=\frac{\text{milliliters of methyl alcohol}}{1300mL}\cdot100[/tex]

3) Solve for volume of methyl alcohol.

[tex]18.5\%\cdot\frac{1300mL}{100}=\frac{milliliters\text{ of methyl alcohol}}{1300mL}\cdot100\cdot\frac{1300mL}{100}[/tex][tex]mL\text{ methyl alcohol=18.5}\%\cdot\frac{1300mL}{100}=240.5mL\text{ methyl alcohol}[/tex]

The bottle contains 240.5mL of methyl alcohol.