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Ethyl alcohol, also known as ethanol, has a density of 0.79 g/mL. What is the volume, in quarts, of 1.95 kg of this alcohol?
Express your answer using two significant figures.


Sagot :

Taking into account the definition of density, the volume of 1.95 kg of alcohol is 2.6083 quarts.

Definition of density

Density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

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

density= mass÷ volume

It can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Volume in this case

In this case, you know that:

  • Density= 0.79 g/mL
  • Mass= 1.95 kg= 1950 g

Replacing in the definition of density:

0.79 g/mL= 1950 g÷ volume

Solving:

0.79 g/mL ×volume= 1950 g

volume= 1950 g÷ 0.79 g/mL

volume= 2468.35 mL= 2.6083 quarts (being 1 mL= 0.00105669 quarts)

In summary, the volume of 1.95 kg of alcohol is 2.6083 quarts.

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