Answer :
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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