So, to balance this equation, let's first count the atoms on each side we have on the reactants magnesium.
And we have one of those nitrogen, we have two nitrogen.
Mg+N2 Mg3N2
So, we need to figure out how to have same numbers on each side of the equation.
Mg=1 Mg=3 N=2 N=2
On the product side of magnesium, we have three and nitrogen we have two.
3Mg+N2 Mg3N2
If we have a 1 times a 3, that will balance the magnesium.
Mg=1x3=3 Mg=3 N=2 N=2
3Mg+N2 Mg3N2
Looking at the equation, actually the nitrogen's are already balanced so this equation is done.
Mg=1x3=3 Mg=3 N=2 N=2
3Mg+N2 Mg3N2
Mg=1x3=3 Mg=3 N=2 N=2
If you want to report your coefficients, you can say 3 1 1 as the coefficients for the balanced equation of magnesium plus nitrogen yields Mg3 and 2 magnesium nitride.
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