Question

Question: An irregularly shaped piece of copper is placed in a measuring cup containing 3.5 fluid ounces of water.  After the addition of the metal, the water level rises to 5.2 fluid ounces. If the density of copper is 8.78 g/mL, what is the volume of a single atom of copper in m³? On a paper write step by step.

You may only use the following conversion factors:

Molar mass of copper = 63.546 g/mol                            1 mole = 6.022 x 10²³ atoms

1 fluid oz = 29.574 mL                                                   1 cm = 0.01 m

1 mL = 1 cm³

Answer 1

Volume change on addition of copper piece to water.

This is equal to volume of water displaced by addition of copper piece. This is also equal to volume of copper piece.

Convert unit from fluid ounces to mL

Conver unit from mL to cubic cm.

Convert unit from cubic cm to cubic m

Density of copper is 8.78 g/mL

Volume of copper is 50.276 mL

Mass of copper is

Molar mass of copper is 63.546 g/mol

Number of moles of copper

Number of copper atoms

Volume of one atom