No, the diffusion rates of oxygen and bromine are not the same.

Here's why:

* Molecular weight: Bromine (Br₂) has a significantly higher molecular weight (159.8 g/mol) than oxygen (O₂) (32 g/mol).

* Graham's Law: Graham's Law of Diffusion states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.

* Result: Because bromine has a higher molecular weight, it will diffuse slower than oxygen.

Therefore, oxygen will diffuse faster than bromine under the same conditions.