What is the volume V of a sample of 3.10 mol of copper? The atomic mass of copper (Cu) is 63.5 g/mol, and the density of copper is 8.92×103kg/m3. Express your answer in cubic centimeters to 3 significant figures.

4.50 x 10^7 cm3.

Explanation:

Given:

Number of moles of Copper = 3.10 mol.

Atomic mass of copper = 63.5 g/mol

Density of copper = 8.92 × 10^3 kg/m^3

Mass of copper = number of moles * atomic mass of copper

= 3.10 * 63.5

= 196.85 g of copper.

Density = mass/volume

Volume = 8.92 × 10^3 / 196.86

= 45 m3

Converting m3 to cm3,

Remember,

1 m = 100 cm,

1 m3 = 1000000 cm3

Therefore,

45 m3 = 45 * 1000000

= 4.5 x 10^7 cm3.