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Dimensional Analysis
How many atoms are in a kilogram of silver, if there are 6.02 x 1023 atoms per mole and silver weighs 107.9 grams/mole?

Respuesta :

A kilogram of silver contains 5.58×10²⁴ atoms.

How to determine the parameter

From the question given above, the following data were obtained:

  • 1 mole of silver = 107.9 g
  • Number of atoms in 1 mole of silver = 6.02×10²³ atoms.
  • Number of atoms in a kilogram of silver is unknown

Now, we shall convert 1 kg of silver to grams (g).

This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Now, let's determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

If 107.9 g of silver contains 6.02×10²³ atoms.

Then, 1000 g of silver will contain:

= (1000 × 6.02×10²³) / 107.9

= 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

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