a) Two gases in separate flasks have the same mass density (mass per volume) and

Question

a) Two gases in separate flasks have the same mass density (mass per volume) and the same pressure. Gas 1 has molecular mass m1 = 48 u, and is at T1 = 683 K. Find T2, the temperature of gas 2 if its molecular mass is m2 = 89.3 u.
1 K

b) 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

a) 1270.66 K

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