J.R. S. answered 01/31/19
Ph.D. University Professor with 10+ years Tutoring Experience
Let us write a correctly balanced equation for the reaction:
2AlBr3 + 3Cl2(g) ==> 2AlCl3 + 3Br2(g)
So, you ask where does the 3 in bromide come from. Are you asking about the 3 in front of Br2(g) or the the 3 in AlBr3? The 3 in front of bromine (3Br2) is based on the balancing of the equation since you must have the same number of Br atoms on each side. The 3 in AlBr3 is there because Al has a valence of 3+ and Br has a valence of 1-, so it takes 3 Br to balance the 1 Al.
You ask why does chlorine gas get a 2? Chlorine is a diatomic gas, just like H2, O2, N2, Br2, etc. You just have to memorize which gases are diatomic.