Question

Assume a gasoline is isooctane, which has a density of 0.692 g/ml. What is the mass of 3.8 gal of the gasoline (1 gal = 3.78 l)?

Answer 1

Density is the ratio of mass to the volume.

The mathematical expression is given as:

`density=(mass)/(volume)`

Now, density of isooctane =
`0.692 g/mL`

Volume =
`3.8 gal`

Since, 1 gallon = 3.78 L

So, 3.8 gal =
`3.78 L* 3.8`

=
`14.364 L`

As, 1 L = 1000 mL

Therefore,
`14.364 L`=
`14.364 L* 1000 mL`

Volume in mL =
`14364 mL`

Put the values,

`0.692 g/mL=(mass)/(14364 mL)`

`m = 0.692 g/mL* 14364 mL`

=
`9939.888 g`

Hence, mass of 3.8 gal of the gasoline is
`9939.888 g`.