Problem: The volume of a sphere is (4/3)πr3 and the density of copper is 8.96 g/cm3.What is the radius (in cm) of a pure copper sphere that contains 1.37 1024 copper atoms?

FREE Expert Solution

Recall that density is the ratio of the mass and volume of an object:


density=massvolume


Also, the volume of a sphere is given by:


V=43πr3


Avogadro’s number = 6.022 x 1023 entities

                                      entities = atoms, ions, molecules, particles, formula units


Molar mass of Cu = 63.55 g/mol


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Problem Details

The volume of a sphere is (4/3)πr3 and the density of copper is 8.96 g/cm3.

What is the radius (in cm) of a pure copper sphere that contains 1.37 1024 copper atoms?

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