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Boyles Law 1 atm 4 Liters As the pressure on a gas increases 2 atm 2 Liters As the pressure on a gas increases - the volume decreases Pressure and volume are inversely related

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Boyles Law Timberlake, Chemistry 7 th Edition, page 253

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Boyles Law Timberlake, Chemistry 7 th Edition, page 253 P 1 V 1 = P 2 V 2 (Temperature is held constant)

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P vs. V (Boyles law) At constant temperature and amount of gas, pressure decreases as volume increases (and vice versa). Copyright © 2007 Pearson Benjamin Cummings. All rights reserved. P 1 V 1 = P 2 V 2

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Copyright © 2007 Pearson Benjamin Cummings. All rights reserved. Digital Text Digital Text

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Boyle's Law If n and T are constant, then PV = (nRT) = k This means, for example, that Pressure goes up as Volume goes down. Robert Boyle ( ) Son of Early of Cork, Ireland. A bicycle pump is a good example of Boyle's law. As the volume of the air trapped in the pump is reduced, its pressure goes up, and air is forced into the tire.

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As the pressure on a gas increases As the pressure on a gas increases - the volume decreases Pressure and volume are inversely related 1 atm 4 Liters 2 atm 2 Liters

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As the pressure on a gas increases - the volume decreases Pressure and volume are inversely related 2 atm 2 Liters

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Boyles Law Data

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Pressure-Volume Relationship Volume (L) Pressure (kPa) (P 1,V 1 ) (P 2,V 2 ) (P 3,V 3 ) P 1 x V 1 = P 2 x V 2 = P 3 x V 3 = 100 L x kPa P 1 = 100 kPa V 1 = 1.0 L P 2 = 50 kPa V 2 = 2.0 L P 3 = 200 kPa V 3 = 0.5 L

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P vs. V (Boyles Data) Zumdahl, Zumdahl, DeCoste, World of Chemistry 2002, page 404

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Pressure vs. Volume for a Fixed Amount of Gas (Constant Temperature) Pressure Volume PV (Kpa) (mL) , , , , , , , ,500 Volume (mL) Pressure (KPa)

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Pressure vs. Reciprocal of Volume for a Fixed Amount of Gas (Constant Temperature) Pressure Volume 1/V (Kpa) (mL) / Volume (1/L) Pressure (KPa)

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Boyles Law Illustrated Zumdahl, Zumdahl, DeCoste, World of Chemistry 2002, page 404

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b The pressure and volume of a gas are inversely related at constant mass & temp Boyles Law P V PV = k Courtesy Christy Johannesson Volume (mL) Pressure (torr) P. V (mL. torr) x x x x 10 3

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Boyles Law Pressure and Volume of a Gas Boyles Law A quantity of gas under a pressure of kPa has a volume of 380 dm 3. What is the volume of the gas at standard pressure, if the temperature is held constant? P 1 x V 1 = P 2 x V 2 (106.6 kPa) x (380 dm 3 ) = (103.3 kPa) x (V 2 ) V 2 = 400 dm 3

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PV Calculation (Boyles Law) A quantity of gas has a volume of 120 dm 3 when confined under a pressure of 93.3 kPa at a temperature of 20 o C. At what pressure will the volume of the gas be 30 dm 3 at 20 o C? P 1 x V 1 = P 2 x V 2 (93.3 kPa) x (120 dm 3 ) = (P 2 ) x (30 dm 3 ) P 2 = kPa

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Volume and Pressure Two-liter flask One-liter flask The molecules are closer together; the density is doubled. The average molecules hits the wall twice as often. The total number of impacts with the wall is doubled and the pressure is doubled. Bailar, Jr, Moeller, Kleinberg, Guss, Castellion, Metz, Chemistry, 1984, page 101

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Volume and Pressure Two-liter flask The molecules are closer together; the density is doubled. The average molecules hits the wall twice as often. The total number of impacts with the wall is doubled and the pressure is doubled. One-liter flask Bailar, Jr, Moeller, Kleinberg, Guss, Castellion, Metz, Chemistry, 1984, page 101

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Bell Jar Demonstrations Effect of Pressure on Volume (Shaving Cream in a Bell jar) VIDEO

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