Exam 10: Gases

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Oxygen condenses into a liquid at approximately 90 K.What temperature,in degrees Fahrenheit,does this correspond to?

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The temperature changes from 35°F during the night to 75°F during the day.What is the temperature change on the Celsius scale?

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A styrofoam sphere of radius R has a density ρ.You now carefully compress the sphere so its radius is R/2.What is the density of the compressed sphere?

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The weather outside is frightful.The temperature is -22°F.What is the corresponding temperature in the Celsius scale?

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What is the average translational kinetic energy of an ideal gas at 819 K ? 819 \mathrm {~K} \text { ? } The Boltzmann constant is 1.38 × 10-23 J/K.

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What is absolute zero on the (a)Celsius scale and (b)on the Fahrenheit scale?

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What is the total translational kinetic energy of the gas in a classroom filled with nitrogen at 1.01×105 Pa1.01 \times 10 ^ { 5 } \mathrm {~Pa} at 20.7∘C ? 20.7 ^ { \circ } \mathrm { C } \text { ? } The dimensions of the classroom are 4.60 m×5.20 m×8.80 m.4.60 \mathrm {~m} \times 5.20 \mathrm {~m} \times 8.80 \mathrm {~m} . The Boltzmann constant is 1.3806503 × 10-23 J/K,R = 8.31 J/mol ∙ K,and NA = 6.022 × 1023 molecules/mol.

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A sealed container holds 0.020 moles of ideal nitrogen (N2)gas,at a pressure of 1.5 atm and a temperature of 290 K.The atomic mass of nitrogen is 14.0 g/mol.How many molecules of nitrogen are in the container? (R = 8.31 J/mol ∙ K,1 atm = 101 kPa)

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A compressed gas with a total mass of 107 kg107 \mathrm {~kg} is stored in a spherical container having a radius of 0.521 m.What is the density of the compressed gas?

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How many grams of ethanol (density 0.80 g/cm3)should be added to 5.0 g of chloroform (density 1.5 g/cm3)if the resulting mixture is to have a density of 1.2 g/cm3? Assume that the fluids do not change their volumes when they are mixed.

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One of the dangers of tornados and hurricanes is the rapid drop in air pressure that is associated with such storms.Assume that the air pressure inside of a sealed house is 1.02 atm when a hurricane hits.The hurricane rapidly decreases the external air pressure to 0.910 atm.What net outward force is exerted on a square window of the house that is 2.03 m2.03 \mathrm {~m} on each side? (1.00 atm = 1.01 × 105 Pa)

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A gas-filled vertical cylinder,closed at the bottom end,is fitted at the top with a piston that can move freely.The mass of the piston is 10.0 kg,and the initial height of the piston above the bottom of the cylinder is 25 cm.A mass of 8.0 kg is placed on the piston.What is the resulting height of the piston,assuming that the temperature of the ideal gas is kept constant?

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The density of material at the center of a neutron star is approximately 1.00 × 1018 kg/m3.What is the mass of a cube of this material that is 1.76microns1.76 \mathrm { microns } on each side.(One micron is equal to 1.00 × 10-6 m.)

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If the temperature of a gas is increased from 20°C to 100°C,by what factor does the rms speed of an ideal molecule change?

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When a heavy metal block is supported by a cylindrical vertical post of radius R,it exerts a force F on the post.If the diameter of the post is increased to 2R,what force does the block now exert on the post?

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Platinum melts at 3215°F.What is the corresponding temperature in the Kelvin scale?

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The absolute temperature of an ideal gas is directly proportional to which of the following quantities?

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A 0.50 m3m ^ { 3 } gas tank holds 3.0 moles of ideal diatomic nitrogen gas at a temperature of 350 K.350 \mathrm {~K} . The atomic mass of nitrogen is 14.0 g/mol14.0 \mathrm {~g} / \mathrm { mol } What is the rms speed of the molecules? (The Boltzmann constant is 1.38 × 10-23 J/K,NA = 6.022 × 1023 molecules/mol.)

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Substance A has a density of 3 g/cm3 and substance B has a density of 4 g/cm3.In order to obtain equal masses of these two substances,what must be the ratio of the volume of A to the volume of B?

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A fixed container holds oxygen and helium gases at the same temperature.Which of the following statements are correct? (There could be more than one correct choice.)

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