In the expression \(6H_2O\), the coefficient and the subscript have specific meanings:
- The coefficient (6) indicates how many molecules are present.
- The subscript (2) indicates how many atoms of hydrogen are present in each water molecule.
Now, let's evaluate the options:
a. The 6 coefficient represents 6 atoms in each water molecule.
Incorrect - The coefficient represents the number of molecules, not atoms.
b. The 2 subscript represents 2 atoms in each water molecule.
Correct - The subscript indicates that there are 2 hydrogen atoms in each water molecule.
c. The 6 coefficient represents 6 molecules of water.
Correct - The coefficient indicates that there are 6 molecules of water.
d. The 2 subscript represents 2 water molecules.
Incorrect - The subscript represents the number of hydrogen atoms in each water molecule, not the number of water molecules.
So, the correct answers are: b and c.