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Taking the top 5 elements in the body, their % of the body's mass (assumed to be 70 kg) we can calculate the number of moles of each in the body:
Element: Percent by mass: Grans per body: Moles per body for 70 kg
Oxygen: 65: 45000: 3000
Carbon:18: 12600: 1050
Hydrogen: 10: 7000: 7000
Nitrogen: 3: 2100: 175
Calcium: 1.5: 1950: 54
Giving a total number of moles as 11280 = 1x104 (more or less)
And knowing the number of atoms per mole (Avogadro's number) = 6.03 x1023
Number of atoms in a body is around 6.03 x1027
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