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KINETIC MOLECULAR THEORY AND PRESSURE 13.3: pgs. 474 – 478 & 13.1: pgs. 442 - 445
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Kinetic Molecular Theory A model to explain the behavior of an ideal gas. Composed of 5 Assumptions Gases consist of tiny particles (atoms or molecules) These particles are so small we say their size is zero The particles are in constant random motion. When they hit the container, we get pressure. Particles do not attract or repel one another. Average kinetic energy of the gas particles is directly proportional to the Kelvin temperature of the gas
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Temperature Aussumption 5- Kelvin temperature is directly proportional to average kinetic energy of gas particles Temperature is a measure of the movement of the gas particles At high temperatures, move fast, hit the walls more frequently How about low temps?? http://www.chm.davidson.edu/ChemistryApplets/KineticMolecularTheory/Maxwell.html
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Relationship between Temperature and Pressure The pressure of a gas is measured is due to collisions with the walls of a container What happens to pressure as we heat a gas? (volume not allowed to change) Pressure increase as temperature increases How about when temp decreases?
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Relationship between Volume and Temperature Imagine a container that can change size The pressure of the gas (P gas ) is equal to the pressure of the exterior (P ext ) surroundings. What happens if we heat the gas to a higher temperature? http://www.youtube.com/watch?v=08ezkSrQ5lc
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Real Gases KMT is for ideal gases- those don’t exist Ideal gas- particles have no attractions, zero volume Why don’t these exist?? Real gases will behave like ideal gases under certain conditions Low pressures – 1 atm or lower Moderate temperatures – 0 o C or higher
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Gases have Pressure What causes gas pressure? Pop can demo It’s a measure of the collisions a gas has with a surface Atmospheric pressure is measured in a barometer
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Mercury Barometer The pressure exerted by the atmospheric gasses on the surface of the mercury in the dish keep the mercury in the tube. At sea level the height of the column of mercury averages 760 mm Hg The level of Hg will change as the air pressure changes
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Units of Pressure Mercury barometers measure the height of the mercury column: mm Hg or torr Standard atmosphere or atm 1 standard atmosphere = 1.000 atm = 760.0 mm Hg = 760.0 torr SI unit: pascal, Pa 1 atm = 101,325 Pa Engineering: pound per square inch, psi 1.000 atm = 14.69 psi Can use these units to perform conversions
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Atmospheric Pressure Where does it come from? Gravity pulling air down towards the earth Influenced by weather conditions: lows and highs Varies with altitude
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DALTON’S LAW OF PARTIAL PRESSURES 13.1: Pgs. 445 - 457
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Mixtures of Gases Many important gases contain a mixture of components. Examples Air Helium and Oxygen (Scuba divers’ tanks) Studies of gaseous mixtures show that each component behaves independently of the others.
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John Dalton Known as Dalton’s Law of Partial Pressures For a mixture of gases in a container, the total pressure exerted is the sum of the partial pressures of the gases present. The partial pressure of a gas is the pressure that the gas would exert if it were alone in the container. DOES NOT DEPEND ON THE TYPE of gas, just the NUMBER of particles present!!
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Equation For a mixture of 3 gases, Subscripts refer to the individual gases (gas 1, gas 2, and gas 3) P total = P 1 + P 2 + P 3
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Example A gas mixture containing oxygen, nitrogen and carbon dioxide has a total pressure of 32.9 kPa. If PO 2 =6.6kPa and PN 2 = 23.0 kPa, what is PCO 2 ?
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