Question

The diameter of a copper atom is approximately 2.28×10−10 m. The mass of one mole of copper is 64 g. Assume that the atoms are arranged in a simple cubic array. Remember to convert to SI units.

(a) What is the mass of one copper atom, in kg?

Answer 1

Answer : The mass of one copper atom is, [tex1.06\times 10^{-25}kg[/tex]

Explanation : Given,

Mass of one mole of copper = 64 g

First we have to convert the mass of copper from gram to kilogram.

Conversion used :

1 kg = 1000 g

or,

1 g = 0.001 kg

So, mass of copper = 64 g = 0.064 kg

Now we have to calculate the mass of one copper atom.

As,
`6.022* 10^(23)` atoms of mass of copper = 0.064 kg

So, 1 atoms of mass of copper =
`(0.064)/(6.022* 10^(23))=1.06* 10^(-25)kg`

Thus, the mass of one copper atom is, [tex1.06\times 10^{-25}kg[/tex]