Taking into account the definition of density, the density of gold is 19.3 g/cm³ and the density of iron is 7.8 g/cm³.
Definition of density
Density is defined as the property that allows 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.
Density in this case
In this case, you know that:
- A sample of gold has mass of 38.6 grams and a volume of 2 cm³.
- A sample of iron has a mass of 46.8 grams and a volume of 6 cm³.
Replacing in the definition of density:
- Gold: density= 38.6 g÷ 2 cm³
- Iron: density= 46.8 g÷ 6 cm³
Solving:
- Gold: density= 19.3 g/cm³
- Iron: density= 7.8 g/cm³
In summary, the density of gold is 19.3 g/cm³ and the density of iron is 7.8 g/cm³.
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