Exam 17: Temperature and the Kinetic Theory of Gases

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  The isotherm that corresponds to the highest temperature is the one labeled The isotherm that corresponds to the highest temperature is the one labeled

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When the temperature of an ideal gas is increased from 300 K to 400 K, the average kinetic energy of the gas molecules increases by a factor of

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Two monoatomic gases, helium and neon, are mixed in the ratio of 2 to 1 and are in thermal equilibrium at temperature T (the molar mass of helium = 4.0 g/mol and the molar mass of neon = 20.2 g/mol). If the average kinetic energy of each helium atom is 6.3 ×\times 10-21 J, calculate the temperature T.

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If it is known that two bodies are in thermal equilibrium, one can conclude that

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If a mass of oxygen gas occupies a volume of 8 L at standard temperature and pressure, what is the change in the volume if the temperature is decreased to 136 K and the pressure remains constant?

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The highest and lowest temperatures ever recorded in the United States are 134ºF (California, 1913) and -80ºF (Alaska, 1971). What are these temperatures in kelvins?

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The temperature of the air on a hot day when the temperature is 108ºF is

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A temperature of 14ºF is equivalent to

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  Two tanks, both of volume 10 L, are connected by a valve and are thermally isolated. One tank contains 1mole of <sup>4</sup>He at 280 K and the other tank contains 1 mole O<sub>2</sub> at 300 K. The valve is then opened and the gases allowed to mix. What is the final temperature after the gases have come to equilibrium? Two tanks, both of volume 10 L, are connected by a valve and are thermally isolated. One tank contains 1mole of 4He at 280 K and the other tank contains 1 mole O2 at 300 K. The valve is then opened and the gases allowed to mix. What is the final temperature after the gases have come to equilibrium?

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A device used to measure the speed, v, of molecules is shown below. When the cylinder is rotated, only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector. Drive an expression for the speed v in terms of the angular speed, ω\omega , ϕ\phi , and L. L is the length of the cylinder and ϕ\phi is the angle subtended by the slanted slot.  A device used to measure the speed, v, of molecules is shown below. When the cylinder is rotated, only molecules that are of the right speed will pass through the slanted slot and be pickup by the detector. Drive an expression for the speed v in terms of the angular speed,  \omega ,  \phi , and L. L is the length of the cylinder and  \phi  is the angle subtended by the slanted slot.

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  The graph shows the Maxwell-Boltzmann distribution function of the number of gas molecules per unit speed range at a given temperature. The average speed, the most probable speed, and the rms speed (in this order) are most likely given by The graph shows the Maxwell-Boltzmann distribution function of the number of gas molecules per unit speed range at a given temperature. The average speed, the most probable speed, and the rms speed (in this order) are most likely given by

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A 1 L container contains O2 gas at STP. If the diameter of the O2 molecule is 3.75 ×\times 10 -10 m, the number of collisions per second is

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In a Maxwell-Boltzmann distribution function of molecular speeds, the rms speed is

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Doubling the Kelvin temperature of a gas increases which of the following measures of its molecular velocity by a factor of 1.4?

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A constant-volume gas thermometer reads 6.66 kPa at the triple point of water. What is the pressure reading at the normal boiling point of water?

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Use the following to answer question: Use the following to answer question:   -The figure shows the distribution of the molecular speeds of a gas for two different temperatures. -The figure shows the distribution of the molecular speeds of a gas for two different temperatures.

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A cylinder contains oxygen gas at a temperature of 7ºC and a pressure of 15 atm in a volume of 100 L. A fitted piston is lowered into the cylinder, decreasing the volume occupied by the gas to 80 L and raising the temperature to 40ºC. The gas pressure is now approximately

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A room measures 3 m ×\times 4 m ×\times 2 m and is at 15 \circ C and 1 atm. When the temperature is increased to 25 \circ C, the number of molecules that escaped from the room is, assuming that the pressure stays at 1 atm

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A gas thermometer could measure temperature change by measuring the change in

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Normal human body temperature is 98.6ºF. What is the corresponding Celsius temperature?

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