Can you put a higher reaction coefficient when balancing equations?

For example, for SO_2 + O_2 -> SO_3SO2+O2SO3 the balanced equation is 2SO_2 + O_2 -> 2SO_32SO2+O22SO3 but can it also be 4SO_2 + O_2 -> 4SO_34SO2+O24SO3 ?

2 Answers
Oct 6, 2017

Well we usually use the simplest whole number ratio.....

Explanation:

And thus we want....

2SO_2 + O_2(g) rarr 2SO_3(g)2SO2+O2(g)2SO3(g)

But 4SO_2 + O_2(g) rarr 4SO_3(g)4SO2+O2(g)4SO3(g) IS CLEARLY unbalanced with respect to oxygen....Do you agree? And thus this cannot be accepted as a representation of chemical reality.

Some chemists like to introduce half-integral coefficients into the equation.

SO_2(g) + 1/2O_2 rarr SO_3(g)SO2(g)+12O2SO3(g)

Here, I find that the half-integral coefficient makes assessment of the stoichiometry, the arithmetic, a bit easier. Every stoichiometric equation MUST be absolutely balanced with respect to mass and charge.

And see this [old answer.](https://socratic.org/questions/h2-1-2-o2-h2o-is-it-right-or-not)

Oct 7, 2017

Yes, you can put all the reaction coefficient higher.

So, "...can it also be 4SO_2 + O_2 → 4SO_34SO2+O24SO3?"

No, it can't because the equation is not balanced respect to oxygen.

Explanation:

Once you have correctly balanced the equation:

2SO_2 + O_2 → 2SO_32SO2+O22SO3

you can use any multiple of all coefficients, as in:

4SO_2 + 2 O_2 → 4SO_34SO2+2O24SO3, or in:
6SO_2 + 3 O_2 → 6SO_36SO2+3O26SO3, etc.

given that the equation remains balanced.