For a simple equation where one of the reaction coefficients is known, we can immediately add the corresponding coefficient using the principle that the number of atoms of <em>the components in the reactants and products is the same.
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In the above reaction :
Fe, left=1, right = 4, so coefficient in the left=4
O, left=2, right = 6, so coefficient in the left=3
I believe/thought they were very similar due to the fact that they both undergo a process called “oxidation” where they release oxygen into the atmosphere.