Question

What volume of gold would be equal in mass to a piece of copper with a volume of 121 mL? The density of gold is 19.3 g/mL; the density of copper is 8.96 g/mL.

Answer 1

The volume of gold with the same mass as a 121 mL piece of copper is approximately 56.17 mL, calculated by first finding the mass of the copper using its density, and then determining the gold's volume using its density.

Step-by-step explanation:

To find the volume of gold that has the same mass as a piece of copper with a volume of 121 mL, we first calculate the mass of the copper using its density. Then, using the mass of the copper, we calculate the volume of gold by using the density of gold.

The mass of the copper is calculated using the formula: mass = density × volume. For copper, this is:

Mass of copper = 8.96 g/mL × 121 mL = 1084.16 g

Now, we use the mass of the copper to find the volume of gold, using the formula volume = mass / density. For gold, this is:

Volume of gold = 1084.16 g / 19.3 g/mL

This calculation results in a volume of approximately 56.17 mL for the gold.

Answer 2

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

Step-by-step explanation:

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