To determine the meanings of the coefficient and the subscript in the formula \(6H_2O\), let's analyze each option:
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a. The 2 subscript represents 2 water molecules.
- Incorrect. The subscript '2' indicates that there are 2 hydrogen atoms in each water molecule, not the number of molecules.
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b. The 6 coefficient represents 6 molecules of water.
- Correct. The coefficient '6' indicates that there are 6 water molecules total.
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c. The 6 coefficient represents 6 atoms in each water molecule.
- Incorrect. The coefficient '6' represents the total number of water molecules, not the number of atoms in each molecule. Each water molecule (H2O) contains 3 atoms total (2 hydrogen and 1 oxygen).
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d. The 2 subscript represents 2 atoms in each water molecule.
- Correct. The subscript '2' in \(H_2O\) indicates that there are 2 hydrogen atoms in each water molecule.
Thus, the correct answers are b and d.