Exam 13: Temperature and the Ideal Gas

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The diffusion constant for oxygen diffusing through tissue is 1.0 × 10−11 m2/s. In a certain sample oxygen diffuses through the tissue at a rate of 2.0 × 10−6 kg/s. If the thickness of the tissue is doubled, then what is the rate of oxygen flow through the tissue?

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If the temperature changes by 15°C, then what is the change in temperature in Fahrenheit?

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What is the activation energy of a chemical reaction if the reaction rate triples when the temperature goes from 10°C to 30°C?

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How does the density of copper at its melting point of 1,356 K compare to that of copper at room temperature, 293 K? Its linear expansion coefficient is 17.0 x 10−6 K−1.

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A 3.00 cm × 5.00 cm rectangular piece of copper is at a temperature of 10.0°C. The coefficient of linear expansion of copper is 17.0 × 10-6/°C. If the temperature of the copper rectangle increases by 2.00°C, then what is its change in area?

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A copper plate has a hole with a diameter of 2.50 cm. A copper shaft with a diameter of 2.501 cm is to be inserted into the hole. If the linear coefficient of thermal expansion for copper is 17.0 × 10−6/°C, then what decrease in temperature of the copper shaft is required for the shaft to just fit inside the hole?

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If the root mean square velocity of the particles in a gas is 450 m/s, and a particle collides with another particle every 2.0 × 10-9 seconds on average, then the mean free path is

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If the temperature and pressure of an ideal gas are tripled, what is the ratio of the new volume to the initial volume?

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A 40.0 liter gas tank is filled to the brim with gasoline when the temperature is 5.00°C. Gasoline has a coefficient of volume expansion of 950 × 10−6/°C. If the gas tank is moved into the sun of a hot summer day, the temperature of the gas tank is increased to 60.0°C. What is the volume of gasoline that overflows the tank (ignore the expansion of the gas tank)?

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0.500 moles of an ideal gas has a volume of 0.0100 m3 and a temperature of 300 K. What is the pressure of the sample of gas?

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The diffusion constant for oxygen through water is 1.0 × 10−9 m2/s. What is the time for an oxygen molecule to diffuse 1 cm?

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What is the average kinetic energy per particle in 1.00 mole of an ideal gas at a pressure of 1.50 atmospheres and a temperature of 20°C?

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A vessel of volume 0.00100 m3 contains 2.00 moles of an ideal gas at a pressure of 1.50 atmospheres. What is the total kinetic energy of the gas in the vessel?

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The temperature of a copper cube is increased by 35.0°C. The linear coefficient of thermal expansion is 17.0 × 10−6/°C. The fractional change in volume is

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The rms velocity of a He molecule in helium gas with a temperature of 20°C is 1,352 m/s. What is the rms velocity of the molecule if the temperature of the gas is tripled?

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A 0.250 mole sample of an ideal gas has a volume of 0.00200 m3, a pressure of 2.00 atmospheres. What is the temperature of the sample of gas?

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The mass density of pure water is 1,000 kg/m3. If the molecular mass of water is 18.0 u, how many water molecules are in spherical water balloon of radius 1.0 cm?

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A brass rod is 25.0 cm long at a temperature of 20.0°C. The coefficient of linear expansion of brass is 19.0 × 10−6/°C. If the temperature changes to 25°C, then the increase in length of the brass rod is

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A container holds oxygen and helium gases at the same temperature. Which one of the following statements is correct?

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What are the dimensions of the diffusion constant?

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