What volume of gold would be equal in mass to a piece of copper with a volume of 141 ml? the density of gold is 19.3 g/ml; the density of copper is 8.96 g/ml?

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:

In this case, for a piece of copper you know that:

Replacing in the definition of density:

Solving:

mass copper= 8.96 × 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:

Solving:

19.3× volume gold= 1263.36 grams

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.

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