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A spherical bubble of oxygen, radius r o = 0.499 mm, rises from the floor of a f

ID: 2216703 • Letter: A

Question

A spherical bubble of oxygen, radius ro = 0.499 mm, rises from the floor of a freshwater lake h = 68.1 m deep. At the bottom of the lake the temperature is To = 4.64o C. At the top of the lake the temperature is T = 23.2 oC and the pressure is P = 1 atm (1.013x105 Pa). Assume:

- the bubble is in thermal equilibrium with its surroundings at all times
- the bubble is always spherical
- water pressure does not depend on temperature

Find:

- r, the radius of the spherical bubble just at it reaches the surface of the lake:?? 2 mm

- N, the number of molecules of oxygen in the bubble:?? 3 molecules

Explanation / Answer

using PV=nRT we get n=1.76*10^-6 Now using PV/T = constant R=1mm

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