Answer :
Final answer:
The 51.7 gram sample of H2O contains approximately 1.73 x 10^24 molecules of water.
Explanation:
To calculate the number of molecules in a given sample of water, we need to follow these steps:
- Convert the given mass of water (51.7 grams) to moles by dividing it by the molar mass of water (18.015 grams/mole). This gives us the number of moles of water in the sample.
- Once we have the number of moles, we can use Avogadro's number (approximately 6.022 x 10^23 molecules/mole) to calculate the number of molecules. Multiply the number of moles by Avogadro's number to get the number of molecules.
Let's calculate it:
- Number of moles of water = 51.7 grams / 18.015 grams/mole = 2.87 moles
- Number of molecules = 2.87 moles * (6.022 x 10^23 molecules/mole) = 1.73 x 10^24 molecules
Therefore, the 51.7 gram sample of H2O contains approximately 1.73 x 10^24 molecules of water.
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