A diving bell has an air space of 3.0 m^3 when on the deck of a boat. What is the volume of the air space when the bell has been lowered to a depth of 50 m? Take the mean density of sea water to be 1.025 g/cm^3 and assume that the temperature is the same as on the surface.

Question

mrnood · Answer

the pressure at a depth h = rho g h
you know all those factors so you can calculate the pressure at 50m

For a gas PV/T is constant (for a given mass of gas)

You ar told that T remains the same in the diving bell so
PV at surface = PV at 50m

So you can work out V at 50m

evoker · Answer

Quick note that is the additional pressure not the total pressure that MrNood has calculated there.

mrnood · Answer

correct 

P0 = atmospheric
P50 = atmospheric + rho g h