Taking into account the definition of density, the volume of the sample of gold is 0.0646998 L.
Density is defined as the property 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
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
In this case, you know that:
Replacing in the definition of density:
19.32 g/cm³= 1250 g÷ volume
Solving:
19.32 g/cm³× volume= 1250 g
volume= 1250 g÷ 19.32 g/cm³
volume= 64.6998 cm³= 0.0646998 L (1 cm³= 0.001 L)
In summary, the volume of the sample of gold is 0.0646998 L.
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