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In a single H20 molecule, there are 2 atoms of hydrogen. However, the coefficient 4 in front of the H20 means there are 4 H20 molecules. So, there are 8 total atoms of hydrogen in the 4H20 molecules (2 atoms of hydrogen per 1 H20 molecule x 4 H20 molecules = 8 atoms of hydrogen atoms).
When there is a coefficient in front of a molecule, you would multiply that number by the number of atoms in each element. So for H20, there are 2 hydrogen atoms and one oxygen atom. However, since there is a coefficient of 4 in front of it, you would multiply it by each element and get 8 hydrogen atoms and 4 oxygen atoms.
Coefficients represent the amount of molecules that are part of the equation so in your example, since there are 4 molecules of H20, there would be a total of 8 hydrogen atoms.
The coefficient is called the stoichiometric coefficient and it is what you can change to balance equations, but it also tells you how many moles of a molecule you have. In this example, 4 is the stoichiometric coefficient, so you would have 4 moles.
Most of the above answers are correct. There should be 8 moles of hydrogen because there are 4 molecules with 2 hydrogen atoms each. If we were referring to the number of moles of water, then the answer would be 4 (4 molecules of water total).
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