Chemical transformation (Decomposition)

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chemistry1
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Hi, I was wondering when you need to write the decomposition of a substance, how do you know if the number is going to be a coefficient or subscript ?

Example:

2H2O ===>2H2 + 02 would be the answer

But why not

2H2O ==> 2H2 + 2O

Knowing that we have 2 moles of O in the beginning...

So ?

Thank you!
 
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Although 2H2O ==> 2H2 + 2O does not violate Lavoisier's law, oxigen is a diatomic molecule and therefore the substance 'O' that appears in that equation doesn't truly exist.