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YellowGold
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=[tex] \frac{mass}{volume} [/tex]

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[tex] \frac{3.78 L}{1 gal} [/tex] x[tex] \frac{1000 mL}{1 L} [/tex]=59346 mL

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

CintiaSalazar

Taking into account the definition of density and change of units, 43,738.002 grams of this gasoline would fill a 15.7 gal tank

But first you must know that density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.

In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.  That is, density is the relationship between the weight (mass) of a substance and the volume it occupies.

Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

In this case, you know that:

  • Density= 0.737 [tex]\frac{g}{mL}[/tex]
  • mass= ?
  • Volume= 15.7 gal= 59.346 L= 59,346 mL (being 1 gal= 3.78 L and 1 L= 1,000 mL)

Replacing in the definition of density:

[tex]0.737 \frac{g}{mL} =\frac{mass}{59346 mL}[/tex]

Solving:

mass= 0.737 [tex]\frac{g}{mL}[/tex] ×59,346 mL

mass= 43,738.002 g

In summary, 43,738.002 grams of this gasoline would fill a 15.7 gal tank  

Learn more about density:

  • brainly.com/question/952755?referrer=searchResults
  • brainly.com/question/1462554?referrer=searchResults

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