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Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 67p
Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 67p

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# BIO How Many Atoms Are You Estimate the number of atoms in

ISBN: 9780321675460 31

## Solution for problem 67P Chapter 18

University Physics | 13th Edition

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Problem 67P

BIO How Many Atoms Are You? ?Estimate the number of atoms in the body of a 50-kg physics student. Note that the human body is mostly water, which has molar mass 18.0 g/mol, and that each water molecule contains three atoms.

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Solution 67P We have to first calculate the number of moles of water in human body. The mass of the student is 50.0 kg . Since it is given that human body is mostly water, hence the amount of water will also be approximately 50.0 kg. Molar mass of water = 18.0 g/mol = 0.018 kg/mol Therefore, the number of moles of water in human body is = 50.0/0.018 moles = 2777 moles 23 Now, 1 mole of water has = 6.02 × 10 molecules 23 27 So, 2777 moles of water has = 6.02 × 10 × 2777 molecules = 1.67 × 10 molecules Given in the question that each water molecule has three atoms. Therefore, the number of 27 27 27 atoms in 1.67 × 10 molecules is = 3 × 1.67 × 10 atoms = 5.0 × 10 atoms 27 Therefore, the approximate number of atoms in the student’s body is 5.0 × 10 .

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