(Solved): When two soap bubbles touch, the larger is inflated by the smaller until they form a single bubble. ...

When two soap bubbles touch, the larger is inflated by the smaller until they form a single bubble. (Assume the surface tension of the soapy water is $0.0370\mathrm{N}/\mathrm{m}$.) (a) What is the gauge pressure (in $\mathrm{N}/{\mathrm{m}}^2$ ) inside a soap bubble with a $2.18\mathrm{cm}$ radius? $\mathrm{N}/{\mathrm{m}}^2$ (b) What is the gauge pressure inside (in $\mathrm{N}/{\mathrm{m}}^2$ ) a $3.00\mathrm{cm}$ radius soap bubble? $\mathrm{N}/{\mathrm{m}}^2$ (c) What is the gauge pressure (in $\mathrm{N}/{\mathrm{m}}^2$ ) inside the single bubble they form if no air is lost when they touch? $\mathrm{N}/{\mathrm{m}}^2$