How many atoms are there on earth?

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The chemical composition of the Earth (by mass) is:

34.6% Iron
29.5% Oxygen
15.2% Silicon
12.7% Magnesium
2.4% Nickel
1.9% Sulfur

The mass of the Earth is 5.97e24 kg = 5.97e27 g

Therefore the earth contains

2.07e27g Iron
1.76e27g Oxygen
9.1e26g Silicon
7.6e26g Magnesium
1.4e26g Nickel
1.1e26g Sulfur

The molar masses of these elements are:

55.9g Iron
16.0g Oxygen
28.1g Silicon
24.3g Magnesium
58.7g Nickel
32.1g Sulfur

Therefore the number of moles of each of these elements is:

3.7e25 Iron
1.10e26 Oxygen
3.2e25 Silicon
3.1e25 Magnesium
2e24 Nickel
3e24 Sulfur

for a total of 2.15e26 moles. Multiply by Avogadro's number to get number of atoms = 1.3e50 or so.
(what about the earth's atmoshere?)
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