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**Question**

*A diver named Jacques observes a bubble of air rising from the bottom of a lake (where the absolute pressure is [tex]3.50 {\rm atm}[/tex]) to the surface (where the pressure is [tex]1.00 {\rm atm}[/tex]). The temperature at the bottom is [tex]4.0{\rm ^{\circ} C}[/tex], and the temperature at the surface is [tex]23.0{\rm ^{\circ} C}[/tex].*

**1.**What is the ratio of the volume of the bubble as it reaches the surface ( [tex]V_s[/tex]) to its volume at the bottom ([tex]V_b[/tex])?

Well, I'm thinking [tex]P_b = P_s + \rho \cdot g \cdot h[/tex]. But, I don't know the height, so this may not be the right place to start.

Another thing I was thinking was [tex]\rho_{water} = \frac{m}{V} = 1[/tex] kg / L.

But, it seems like neither of these will get me started.

What is a good starting point for this question?