The problem is undefined. At the boiling point of bromine (vapor pressure 760 mmHg), the vapor pressure of potassium is about 10-6 mmHg. If we obtained a vapor pressure of both elements of 760 mmHg, then at the moment of contact of the gases as a result of a strongly exothermic reaction, an explosion would probably occur, or a process so turbulent that speaking about diffusion or Graham's law does not make sense.
There are so many real and interesting problems and experiences in chemistry - inventing such absurd processes causes that students, instead of liking chemistry, are afraid of it or hate it.