6 Two soap bubbles, r1=0.5 cm and r2= 2 cm are connected by a tube with a valve in it. The bubbles are in equilibrium with the surroundings. When the valve is opened, what is the final radius of each of the bubbles? Assume that 7LV is constant at 0.05 Jm? and T=298 K. Note that soap bubbles are thin films of water, with an inner and an outer surface, each of with surface tension, y. The interior of the bubble is air. The pressure across a spherical bubble is thus 4yR. Assume that the tube width and length are much less than the bubble diameter (ie the tube and valve have negligible volume) that there is no diffusion of gas through the bubble walls, and the gas is perfect