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States of Matter Podcast 1 Chapter 12.1 Gases
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Chapter Vocabulary Kinetic molecular theory Elastic collision Temperature Diffusion Effusion Pressure Barometer Pascal Atmosphere Dalton’s Law of Partial Pressures Intermolecular forces (review) Viscosity Surface tension Surfactant Cohesion Adhesion Melting point/boiling point Vaporization Evaporation Vapor pressure
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Kinetic Molecular Theory
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Kinetic Energy KE = ½ m v 2 Temperature:
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Pressure P = F/A Gas pressure results from gas particles colliding with the container The more collisions and the more energy for each collision, the higher the pressure
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Barometer
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Manometer
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Units of Pressure
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Movement of Gas Molecules Diffusion Effusion
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Graham’s Law of Effusion =
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Balloons are made of rubber, which is porous enough for some gas particles to escape over time. Q: Which balloon would go flat the fastest; a balloon filled with helium or a balloon filled with air?
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Practice Problem 1 In an experiment, nitrogen gas effuses at a rate of 25 mol/s and an unknown gas effuses at 50 mol/s. What is the molar mass of the unknown gas?
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Practice Problem 2 It takes 3.5 minutes for a sample of Xe to effuse. A different unknown gas takes only 1.2 minutes to effuse. What is the molar mass of the unknown gas?
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Dalton’s Law of Partial Pressures
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Sample Problem 3 In a mixture of O 2, CO 2, and N 2, the total pressure is found to be 205 kPa. If CO 2 has a partial pressure of 55 kPa and N 2 has a partial pressure of 125 kPa in the mixture, what is the partial pressure of the oxygen gas?
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Sample Problem 4 Air is a mixture of 78% N 2, 21% O 2, 1% Ar, and trace amounts of other gases. If the total pressure is 760 mmHg, find the partial pressure of each gas.
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Mole Fraction For a mixture of gases: X A = n A / n T
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Derived from Daltons’ Law of Partial Pressures P A = X A * P T number of mol A total number of mol The partial pressure of one gas in a mixture is equal to the ratio of gas molecules in the mixture x the total pressure X P T P A =
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Sample Problem 5 56 g of N 2 gas are mixed with 128 g of O 2 g at a total pressure of 1.5 atm. a)What is the mole fraction of N 2 ? b)What is the partial pressure of N 2 ?
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