Surviving the Pressure: Trapped Inside a Sinking Ship

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If you were trapped inside water tight chamber inside a sinking ship, would you survive all the way to the bottom of the Pacific Ocean? Or would the pressure crush the walls of the chamber at some depth?
 
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It depends on how strong the walls of the chamber are. It would be a good exercise for you to calculate the pressure at various depths, get a feeling for the magnitude of the forces involved.