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Estimate the number of [tex]H_2O[/tex] molecules in a human body with a mass of 98.1 kg. Assume that, on average, water makes up about 62.0% of the mass of a human body.

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Answer :

Final answer:

To estimate the number of H2O molecules in a human body of mass 98.1 kg, consider the composition of water in the body and Avogadro's number. The number of H2O molecules is approximately 2.03 × 10^27.

Explanation:

To estimate the number of H2O molecules in a human body of mass 98.1 kg, we need to consider the composition of water in the body and Avogadro's number. Since water makes up about 62.0% of the mass of a human body, we can calculate the mass of water in the body as 98.1 kg multiplied by 0.62. This gives us approximately 60.702 kg of water in the body.

Next, we need to calculate the number of moles of water in the body by dividing the mass of water by the molar mass of water, which is 18.015 g/mol. Converting the mass of water to grams gives us 60702 g. Dividing this by the molar mass of water gives us approximately 3369.78 moles of water.

Finally, we can calculate the number of H2O molecules by multiplying the number of moles by Avogadro's number, which is 6.022 × 10^23 molecules/mol. Multiplying 3369.78 moles by Avogadro's number gives us approximately 2.03 × 10^27 H2O molecules in the human body.

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