Question

The volume of a sphere is (4/3πr3 and the density of copper is 8.96g/cm3. part a what is the radius (in cm of a pure copper sphere that contains 1.59×1024 copper atoms?

Answer 1

Volume = 4/3 * PI * r^3

1.59 x 10^24 copper atoms = 2.64 moles of copper
Atomic Mass of copper = 63.55
2.64 * 63.55 = 167.77 grams of copper
Volume of Copper = Mass / Density
Volume of Copper = 167.77 grams / 8.96
Volume of Copper = 18.72 cubic centimeters

r^3 = Volume / (4/3 * PI)
r^3 = 18.72 / 4.188
r^3 = 4.47
radius = 1.647 centimeters