Question 3. A swimmer dives carrying a single cylinder of self-contained underwa- ter breathing apparatus filled with compressed gas. He releases a 3.00 cm diameter air bubbles (spherical) from the bottom of the lake, and the depth of the lake is 1.00 x 102 m from the surface. Assume the temperature and the number of air molecules in the bubble remain constant during its ascent, and the air behaves as a perfect ideal gas. (Patm = 1.013 x 10°Pa, pwater = 1.00 x 10° kg/m³) a) What is the pressure at the bottom of the lake that is 1.00 x 10² m below the surface? b) What is the diameter of the air bubble when it reaches the surface? c) Gas in his breathing apparatus is compressed at a pressure of 11.0 atm and a temperature of 25.0°C. If two-thirds of the gas is used and the temperature is raised to 75.0°C when he finally comes out, what is the new pressure of the gas remaining in the tank?

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Chapter21: The Kinetic Theory Of Gases
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Question 3. A swimmer dives carrying a single cylinder of self-contained underwa-
ter breathing apparatus filled with compressed gas. He releases a 3.00 cm diameter
air bubbles (spherical) from the bottom of the lake, and the depth of the lake is
1.00 x 102 m from the surface. Assume the temperature and the number of air
molecules in the bubble remain constant during its ascent, and the air behaves as a
perfect ideal gas.
(Patm = 1.013 x 10 Pa, pwater = 1.00 x 103 kg/m³)
a) What is the pressure at the bottom of the lake that is 1.00 x 10² m below the
surface?
b) What is the diameter of the air bubble when it reaches the surface?
c) Gas in his breathing apparatus is compressed at a pressure of 11.0 atm and a
temperature of 25.0°C. If two-thirds of the gas is used and the temperature is raised
to 75.0°C when he finally comes out, what is the new pressure of the gas remaining
in the tank?
Transcribed Image Text:Question 3. A swimmer dives carrying a single cylinder of self-contained underwa- ter breathing apparatus filled with compressed gas. He releases a 3.00 cm diameter air bubbles (spherical) from the bottom of the lake, and the depth of the lake is 1.00 x 102 m from the surface. Assume the temperature and the number of air molecules in the bubble remain constant during its ascent, and the air behaves as a perfect ideal gas. (Patm = 1.013 x 10 Pa, pwater = 1.00 x 103 kg/m³) a) What is the pressure at the bottom of the lake that is 1.00 x 10² m below the surface? b) What is the diameter of the air bubble when it reaches the surface? c) Gas in his breathing apparatus is compressed at a pressure of 11.0 atm and a temperature of 25.0°C. If two-thirds of the gas is used and the temperature is raised to 75.0°C when he finally comes out, what is the new pressure of the gas remaining in the tank?
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