How does pressure of a fluid change with depth?

[phattestlewt]

And what effect does it have on the volume of a gas in a balloom as depth/pressure increases

So I know we have the formula P =rho*g*h

So an increase in height has a linear increase in Pressure.

A TBR question was talking about the volume of a balloon in a medium and as you move the balloon deeper and deeper, the volume decreases. The volume does not decreases linearly acc to the explanation because
at teh sufrace the P=1 atm. At 10 m depth, the pressure is 2 atm. And for it to double again it has to be at 30 meters, if pressure and height have a linear relationship why does volume not also follow that linear relationship>

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[sazerac]

If n, R, and T are held constant, then PxV is a constant. So if the pressure goes up linearly as 1, 2, 3 then the volume goes down as 1, 1/2, 1/3.

If the volume really did go down linearly, then at 10m the balloon would lose half its volume, at 20m it would lose the other half of its volume, and at 30m the entire universe would implode.

 

[phattestlewt]

If n, R, and T are held constant, then PxV is a constant. So if the pressure goes up linearly as 1, 2, 3 then the volume goes down as 1, 1/2, 1/3.

If the volume really did go down linearly, then at 10m the balloon would lose half its volume, at 20m it would lose the other half of its volume, and at 30m the entire universe would implode.

Good explanation!