Exam 13: Temperature and the Ideal Gas

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Oxygen molecules are 16 times more massive than hydrogen molecules. At a given temperature, the average molecular kinetic energy of oxygen, compared to hydrogen

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C

If the temperature changes by 36°F, then what is the change in temperature in Celsius?

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D

An aluminum rod is 20.0 cm in length, has a diameter of 10.0 mm and is at a temperature of 20°C. The coefficient of linear expansion of aluminum is 23.0 × 10−6/°C. If the temperature changes to 50°C, then the increase in diameter of the aluminum rod is

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An ideal gas is at a temperature of 40°C and a pressure of 2.00 atmospheres. If the diameter of an N2 molecule is 0.300 nm, then what is the mean free path of the N2 molecule in the gas?

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A particular chemical reaction occurs at room temperature (293 K) at half the rate that it does at 300 K. What is the activation energy for this reaction?

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A sample of an ideal gas has a volume of 0.00100 m3, a pressure of 4.50 atmospheres and 2.00 × 1023 particles. What is the temperature of the gas?

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The temperature of a room is 300 K. What is the temperature in Fahrenheit?

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What is the mass of exactly 1 million helium atoms? The atomic mass of helium is 4.00 u.

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The diameter of a nitrogen molecule is about 0.29 nm. In a tank of nitrogen at a pressure of 2.5 atm and temperature 273 K, what is the mean free path of a nitrogen molecule?

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If the average kinetic energy of a fixed volume of ideal gas increases, what must be true?

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Under what conditions do real gasses approximate the behavior of an ideal gas?

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A particular chemical reaction that produces hydrogen gas as a byproduct has an activation energy of 19.2 × 10−20 J. If the reaction produces 0.15 × 10−3 mol H2/hr at room temperature (20°C), what is the rate of production of H2 at 52°C?

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A certain chemical reaction has an activation energy of 0.500 × 10−19 J. What temperature is required for the reaction rate to be double what it is at 20°C?

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One mole of an ideal gas has a volume of 0.0224 m3 and a pressure of 101.3 × 103 Pa. What is the absolute temperature of the gas?

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A 100 liter water tank is filled to the brim with water when the temperature is 5.00°C. Water has a coefficient of volume expansion of 207 × 10−6/°C. If the temperature of the water tank is increased to 60.0°C, what is the volume of water that overflows the tank (ignore the expansion of the tank)?

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An ideal gas composed of a mixture of oxygen and nitrogen is at a pressure of 1.50 atmospheres and a temperature of 25.0°C. What is the molar density?

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A nitrogen molecule has a diameter of about 0.29 nm. The mean free path of a nitrogen molecule in a tank of dry nitrogen at room temperature (293 K) and standard pressure (1 atm) is about 0.10 µm. A tank containing nitrogen at standard temperature (273 K) and pressure has volume V. If the tank is compressed by means of a piston to 20% of its original volume, what is the mean free path for a nitrogen molecule under the new conditions?

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If the temperature of a room is 62°F, then what is the temperature of the room in Kelvin?

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An ideal gas has a pressure of 2.5 atm, a volume of 1.0 L at a temperature of 30°C. How many molecules are there in the gas?

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A brass box is in the shape of a cube. The coefficient of linear thermal expansion is 19 × 10−6/°C. If the temperature of the box is increased by 20°C, then what is the fractional change in the volume of the box?

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