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?

We are tasked to solve for the volume of Gold given that the mass of Gold is equivalent to that of a copper.

Details:

Density of Copper= 8.96 g/ml
Volume of Copper=141 ml
mass of Gold = mass of Copper
Density of Gold=19.3 g/ml

In order to solve for the mass of copper, we need to use the density formula
Density= mass/volume

Since we are to solve for the mass of copper
mass of copper= Density of Copper * Volume of Copper
mass of copper= 8.96 g/ml* 141 ml= 1263.36 g
Thus,
mass of gold=mass of copper=1263.36 g
Hence,
Using still the density formula to solve for the volume of gold,
Volume of gold=mass of gold/ Density of gold
Volume of gold=1263.36 g/ 19.3 g/ml = 65.46 mL

Therefore, the volume of the gold must be 65.46 mL in order to have the same mass of a copper

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:

Density copper= 8.96 mass copper= ? Volume copper= 141 mL

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:

density gold= 19.3mass gold= mass copper= 1,263.36 gvolume gold= ?

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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