Question

Is there a limit as to the magnitude of the radius of a bubble in water is?

Answer 1

For a limited volume of air, or for an infinite volume of air?

Answer 2

the bubble is in an equilibrium state with the outside pressure (atmospheric+guage+due to surface tension) being balanced by the pressure due to air inside the bubble. perhaps it won't matter how much air has been blown into it. As the bubble moves up in the container it increases in volume to decrease the pressure of the air inside(Boyle's law) and keep it in equilibrium with the outside decreasing guage pressure.,provided the temperature remains the same.