The unbalanced equation for the reaction of sulfur dioxide with bromine is shown below.

SO₂ + Br₂ + H₂O→ SO₄^2–+ Br^–+ H⁺

a. State the oxidation number of sulfur in:
i. SO₂ 
ii. SO₄^2–

b. State the oxidation number of bromine in:
i. Br₂ 
ii. Br^–

c. Identify the reducing agent in this reaction. Give a reason for your answer.

d. State the change in oxidation number for:
i. Each S atom
ii. Each bromine atom.

e. Construct a balanced equation for this reaction.