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## Homework Statement

A diving bell has an air space of 3.0 m

^{2}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.

## Homework Equations

PV = nRT

## The Attempt at a Solution

I'm thinking I should use the ideal gas law to solve this problem.

V

_{1}P

_{1}= nRT

V

_{2}P

_{2}= nRT

V

_{1}P

_{1}= V

_{2}P

_{2}

P

_{1}= 1 atm (at surface of water)

P

_{2}= ? (would I use the density of sea water and surface area of diving bell somehow?)

Thanks!