Upthrust on bubble Problem

A diver at the bottom of a 20 m deep pool of fresh water releases a small air bubble from her cylinder. She notices that the volume of the bubble increases as it rises towards the surface. The temperature of the water is constant at all depths while the density of the water is 1030 kgm^-3 and the atmospheric pressure at the surface is 101 kPa. She estimates that the volume of the bubble as it begins to rise is 2 cm^3.
Calculate the volume of the bubble when it reaches the surface to 2 decimal places.

Reply 1

BCHL85

Use these formulae
PV = const as T = const.

And P = d.g.h where
d = density
g = 9.81 m/s2
h = depth

Reply 2

Dhesi

Use:

P1V1/T1 = P2V2/T2

Reply 3

teachercol

Note that the pressure at the bottom of the pool = atm + pressure due to depth of water (rho g h) . The pressure at the top is just atmospheric pressure,.

The p1v1=p2v2