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 $0\mathrm{.}0370$ N$/$m$.)$

$($a$)$

What is the gauge pressure $($in N$/$m$2)$ inside a soap bubble with a $2\mathrm{.}14$ cm radius?

N$/$m$2$

$($b$)$

What is the gauge pressure inside $($in N$/$m$2)$ a $3\mathrm{.}32$ cm radius soap bubble?

N$/$m$2$

$($c$)$

What is the gauge pressure $($in N$/$m$2)$ inside the single bubble they form if no air is lost when they touch?

N$/$m$2$