[vhpk]

I have difficulty solving an exercise in Physical Chemistry of Atkins.
A diving bell has an air space of 3.0 m³ 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 gcm^{- 3} and assume that the temperature is the same as on the surface.
The answer is 0.5m³, however, I don't know how to solve the problem as I don't know what the relationship between the density and the volume when temperature is constant apart from : V =mD, but it can't be praticed in this case.
Thank you for reading and helping me solve this

[Borek]

Use density of water to calculate pressure.

[vhpk]

Okay,
P =Dgh = 1.025x10^-6x9.8x50 =5.0225x10^-4, right ?
Then use:
P₁V₁ = P₂V₂
With P₁ = 1.0atm, V₁=3.0m³, P2=5.0225x10^-4 and calculate V2.
Is that right

[Borek]

Watch your units.