$(8$ pts $)$ A diver is at a depth where the total pressure is $4$ times the atmospheric pressure. She releases an air bubble of volume $\backslash (\backslash$mathrm$\{$V$\}\_\{1\}\backslash ).$ The air floats to the surface. The temperature of the air bubble was initially $300$ K and drops by $30$ K by the time it reaches the top. By what factor has the air bubble increased its volume when it arrives at the surface?

A$.2\mathrm{.}7$

B$.3\mathrm{.}3$

C$.3\mathrm{.}6$

D$.5\mathrm{.}0$

E$.2\mathrm{.}3$