Oxoacid strengths in aqueous solutions

Mangoes

Hey there,

My textbook doesn't expand on this much and I'm unsure if I'm just not seeing some obvious connection; I'd appreciate it if someone could clarify this for me.

I'm studying the Bronsted-Lowry theory and the strength of binary and ternary acids. I understand how, for example, H₂SO₄ dissociates in water, but I don't see why the dissociation of that would be any different than say, H₂SO₃.

I realize that for some reason, acid strength increases with an increased number of oxygen atoms, but I can't understand why.

From what I understand, the O-H bonds are broken in water to create an anion and H⁺, so why would a larger amount of oxygen atoms in a molecule have anything to do with acid strength since the amount of O-H groups remain constant in both molecules (for example, H₂SO₄ and H₂SO₃ both have the same amount of O-H groups.)

What am I misunderstanding or missing?