Taking into account the definition of density, the volume of gold that would be equal in mass to a piece of copper with a volume of 141 mL is 64.459 mL.
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 referred to the amount of mass in a given volume, that is, it 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, for a piece of copper you know that:
Replacing in the definition of density:
[tex]8.96\frac{g}{mL} =\frac{mass copper}{141 mL}[/tex]
Solving:
mass copper= 8.96 [tex]\frac{g}{mL}[/tex]× 141 mL
mass copper= 1,263.36 g
To calculate the volume of gold that would be equal in mass to a piece of copper with a volume of 141 mL, you know that:
Replacing in the definition of density:
[tex]19.3\frac{g}{mL}=\frac{1,263.36 grams}{volume gold}[/tex]
Solving:
19.3[tex]\frac{g}{mL}[/tex]× volume gold= 1263.36 grams
[tex]volume gold=\frac{1,263.36 grams}{19.3\frac{g}{mL}}[/tex]
volume gold= 65.459 mL
In summary, the volume of gold that would be equal in mass to a piece of copper with a volume of 141 mL is 64.459 mL.
Learn more about density:
