J.R. S. answered 02/12/22
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
Break it up into a reduction half reaction and an oxidation half reaction
NaBr + Cl2 ==> NaCl + Br2
Since Cl2 goes from zero oxidation state to 1- oxidation state, it has been reduced
Cl2 ==> Cl- ... reduction half reaction (we don't need the Na as it is a spectator)
Cl2 ==> 2Cl- ... balanced for Cl
Cl2 + 2e- ==> 2Cl- ... balanced for charge and this is the final reduction half reaction
Since Br goes from -1 oxidation state to zero oxidation state, it has been oxidized
Br- ==> Br2 ... oxidation half reaction (we don't need the Na as it is a spectator)
2Br- ==> Br2 ... balanced for Br
2Br- ==> Br2 + 2e- ... balance for charge and this is the final oxidation half reaction
Both half reaction have 2 e- transferred so we can simply add the two half reactions and cancel the electrons.
Cl2 + 2Br- ==> 2Cl- + Br2 ... balanced redox reaction
If you want to put back the spectator Na, we have...
Cl2 + 2NaBr ==> 2NaCl + Br2 ... balanced redox reaction