Question

A particular brand of gasoline has a density of 0.737 g/mL at 25 ∘C. How many grams of this gasoline would fill a 15.7 gal tank (1US gal=3.78L)?

Answer 1

Th above problem asked us to find the amount of gasoline in grams given a density of 0.737 g/mL at 25°C and a volume of 15.7 gal.

To solve this problem, we must use the formula of density which is mass over volume.

D=$\frac{mass}{volume}$

Base on the formula, we can find the mass of gasoline in by multiplying both sides by the volume. That is,
mass=D(Volume)

Note that we must cancel out the unit with a remaining g as the unit of mass. We must convert galloons to liters to mL.. That is

1 gal=3.78L and 1L=1000mL
15.7 gal x$\frac{3.78 L}{1 gal}$ x$\frac{1000 mL}{1 L}$=59346 mL

So,
mass=(0.737 g/mL x 59346 mL)=43738 g