A bubble forms on the continental shelf at the bottom of the ocean near the coast. Assume the density of salt water is $1\mathrm{.}04\frac{g}{c}{m}^3,$ and that the ocean is $0\mathrm{.}550$ km deep at this point. The pressure in the bubble is equal to the pressure in the surrounding water.

a$)$ What is the absolute pressure $($in Pa$)$ in the water at this depth? Assume that the air above the ocean is at a pressure of $1\mathrm{.}013{10}^{5}Pa.$ Be careful with significant figures.

b$)$ When the bubble forms at the depth listed in part $a,$ it is a sphere that is $0\mathrm{.}800$ cm in radius. The temperature is $3\mathrm{.}0C.$ How many moles of gas are in the bubble? $($Possibly useful information: volume of a sphere: $V=\frac{4}{3}{r}^3$;$R=8\mathrm{.}31\frac{J}{m}ol*K)$

c$)$ The temperature at the surface of the ocean is $16\mathrm{.}0C.$ What is the volume of the bubble at the top of the surface of the water in $c{m}^3?$