Question

How many milliliters of olive oil have the same mass as 1.50L of gasoline?

Answer 1

1,076.09 milliliters of olive oil

Explanation:

Remember that

Oil density is 0.92 g/mL

Gasoline density is 0.66 g/mL

1 L=1,000 mL

we know that

The density is equal to the ratio of the mass by the volume

Let

D -----> density in g/mL

m ----> the mass in grams

V ----> the volume in milliliters

`D=(m)/(V)`

step 1

Find the mass of 1.50 L of gasoline

we have

`V=1.50\ L`

Convert L to mL

`V=1.50\ L=1.50(1,000)=1,500\ mL`

`D=0.66\ g/mL`

substitute in the formula of density and solve for m

`0.66=(m)/(1,500)`

`m=0.66(1,500)=990\ g`

step 2

Find the volume of olive oil that have a mass of 990 grams

so

we have

`m=990\ g`

`D=0.92\ g/mL`

substitute in the formula of density and solve for the volume

`0.92=(990)/(V)`

`V=(990)/(0.92)=1,076.09\ mL`

therefore

1,076.09 milliliters of olive oil have the same mass as 1.50 L of gasoline