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Maslowich
2 years ago
10

A single gold atom has a mass of 197.0 amu. How many gold atoms are in a cube of gold that is 10.0 mm on each side (about the si

ze of a sugar cube) if the density of gold is 19.3 g/cm3
Chemistry
1 answer:
lyudmila [28]2 years ago
6 0

Answer:

5.90x10²² atoms of gold are present in the cube

Explanation:

First, we must find the volume of the cube in cm³. With density we can find the mass of the gold and the moles using its molar mass. As 1 mol = 6.022x10²³ atoms we can find the number of atoms:

<em>Volume in cm³:</em>

(10.0mm)³ = 1000mm³

<em>1mm³ = 0.001cm³</em>

1000mm³ * (0.001cm³ / 1mm³) = 1cm³

<em>Mass gold:</em>

1cm³ * (19.3g/cm³) = 19.3g Gold

<em>Moles Gold:</em>

19.3g * (1mol / 197.0g) = 0.0980 moles Gold

<em>Atoms gold:</em>

0.0980 moles Gold * (6.022x10²³ atoms / mol) =

<h3>5.90x10²² atoms of gold are present in the cube</h3>
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