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The formula of water is H2O and that of oxygen molecules is O2.

The fraction by mass of oxygen in water is the Atomic Mass of oxygen divided by the molecular mass of water, which in turn is the sum of the atomic mass of oxygen and twice the atomic mass of hydrogen, or {15.999/[15.999 + 2(1.008)]} = 0.888, to sufficient significant digits to correspond to the problem information of 52.8 grams of water. The mass of oxygen in this amount of water therefore is 0.888 X 52.8 = 46.9 grams.

The molecular mass of oxygen atoms is 2 X 15.999 = 32.0, so that 46.9 grams corresponds to 46.9/32.0 = 1.466 moles of oxygen molecules.

The number of molecules per mole of any substance is Avogadro's number, 6.022 X 1023. The answer to the problem is this number multiplied by the number of moles = 1.466 X 6.022 X 1023 = 8.83 X 1023.

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Q: How many oxygen molecules can be made from 52.8 grams of water?
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