Chapter 13: Q49P (page 359)
Question: (II)If the pressure in a gas is tripled while its volume is held constant, by what factor does\({v_{{\rm{rms}}}}\)change?
Short Answer
The rms speed changes by a factor of \(\sqrt 3 \).
Chapter 13: Q49P (page 359)
Question: (II)If the pressure in a gas is tripled while its volume is held constant, by what factor does\({v_{{\rm{rms}}}}\)change?
The rms speed changes by a factor of \(\sqrt 3 \).
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Get started for freeQuestion: (II)Show that for a mixture of two gases at the same temperature, the ratio of their rms speeds is equal to the inverse ratio of the square roots of their molecular masses,\(\frac{{{{\bf{v}}_{\bf{1}}}}}{{{{\bf{v}}_{\bf{2}}}}}{\bf{ = }}\sqrt {\frac{{{{\bf{M}}_{\bf{2}}}}}{{{{\bf{M}}_{\bf{1}}}}}} \).
Consider a container of oxygen gas at a temperature of 23°C that is 1.00 m tall. Compare the gravitational potential energy of a molecule at the top of the container (assuming the potential energy to be zero at the bottom) with the average kinetic energy of the molecules. Is it reasonable to neglect the potential energy?
(II) A helium-filled balloon escapes a child’s hand at sea level and 20.0°C. When it reaches an altitude of 3600 m, where the temperature is 5.0°C and the pressure only 0.68 atm, how will its volume compare to that at sea level?
Question 11: When a cold alcohol-in-glass thermometer is first placed in a hot tub of water, the alcohol initially descends a bit and then rises. Explain.
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