Exam 19: The Kinetic Theory of Gases

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A 2.0-m3 weather balloon is loosely filled with helium at 1 atm (76 cm Hg)and at 27°C.At an elevation of 20,000 ft, the atmospheric pressure is down to 38 cm Hg and the helium has expanded, being under no constraint from the confining bag.If the temperature at this elevation is -48°C, the gas volume is:

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A diatomic gas can have internal energy consisting of:

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The speeds of 25 molecules are distributed as follows: 5 in the range from 2 to 3 m/s, 10 in the range from 3 to 4 m/s, 5 in the range from 4 to 5 m/s, 3 in the range from 5 to 6 m/s, 1 in the range from 6 to 7 m/s, and 1 in the range from 7 to 8 m/s.Their average speed is about:

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Both the pressure and volume of an ideal gas of diatomic molecules are doubled.The ratio of the new internal energy to the old both measured relative to the internal energy at 0 K is:

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An air bubble doubles in volume as it rises from the bottom of a lake (1000 kg/m3).Ignoring any temperature changes, the depth of the lake is:

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The temperature of n moles of an ideal monatomic gas is increased by Δ\Delta T at constant pressure.The energy Q absorbed as heat, change Δ\Delta Eint in internal energy, and work W done by the environment are given by:

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The number of degrees of freedom of a triatomic molecule is:

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Ideal monatomic gas A is composed of molecules with mass m while ideal monatomic gas B is composed of molecules with mass 4m.The average molecular speeds are the same if the ratio of the temperatures TA/TB is:

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According to the kinetic theory of gases, the pressure of a gas is due to:

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Use R = 8.2 *10-5 m3 . atm/mol .K and NA = 6.02 * 1023 mol-1.The approximate number of air molecules in a 1 m3 volume at room temperature (300 K)and atmospheric pressure is:

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The ratio of the specific heat of a gas at constant volume to its specific heat at constant pressure is:

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A system consists of N gas molecules, each with mass m.Their rms speed is vrms.Their total translational kinetic energy is:

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An ideal gas is at a temperature of 320 K.What is the average translational kinetic energy of one of its molecules?

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The difference between the molar specific heat at constant pressure and the molar specific heat at constant volume for an ideal gas is:

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