Two spherical soap bubbles of radii r1 and r2 in vacuum coalesce under isothermal condition. The resulting bubble has a radius R such that
R = r1 +r2
R = (r1+r2)12
R = r12+r22
R = [(r1r2(r1+r2))]
2×4πR2σ = 2×4πr21σ+2×4πr22σ
or R2 = r12+r22 or R = r12+r22