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Published byAnne Malone Modified over 9 years ago
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Gas Laws Fundmentals
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KINETIC MOLECULAR THEORY KINETIC MOLECULAR THEORY KMT is a model to explain the behavior of gaseous particles and is based on extensive observations If a gas follows all the ideas of the KMT, it is said to be an ideal gas
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THE KINETIC THEORY 1.All matter is composed of very small particles 2.These particles are in constant motion 3.Collisions between particles are perfectly elastic
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PRESSUREPRESSURE Pressure is defined as force per unit area Units: kPa, atm, mmHg, torr
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VOLUME Volume is defined as the amount of space an object occupies Units: cm 3, mL, L
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DALTON’S LAW DALTON’S LAW
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Dalton’s Law The physical properties of gases are affected by temperature and pressure John Dalton found that each gas in a mixture exerts pressure independently of the other gases present
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Dalton’s Law The total pressure of a mixture of gases equals the sum of the partial pressures of the individual gases P total = P 1 + P 2 +... When a H 2 gas is collected by water displacement, the gas in the collection bottle is actually a mixture of H 2 and water vapor
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GIVEN: P gas A = 13.7 KPa P gas B = 5.3 KPa P gas C = 4.5 KPa P total = P A + P B + P C WORK: P total = P A + P B + P C P total = What is the total pressure in a container if gas A has a pressure of 13.7 KPa, gas B has a pressure of 5.3 KPa and gas C exerts a pressure of 4.5 KPa? Ex. Problem 1: Dalton’s Law The total pressure in the container is P total
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GIVEN: P O 2 = ? P CO 2 =.7 atm P N 2 =.12 atm P total =.97 atm WORK: P total = P O 2 + P CO 2 + P N 2 Ex. Problem 2: Dalton’s Law A mixture of O 2, CO 2, and N 2 has a total pressure of.97 atm. What is the partial pressure of O 2, if the partial pressure of CO 2 is.70 atm and the partial pressure of N 2 is.12 atm. The total pressure is given, you need to find P oxygen.
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BOYLE’S LAW BOYLE’S LAW
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Irish chemist (1627-1691) Performed the first quantitative experiments on gases Used j-shaped tube to study the relationship between pressure of trapped gas and its volume Boyle’s Law
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Boyle’s Law states that at constant temperature the volume of a fixed amount of gas is inversely related to pressure When the volume INCREASES, pressure DECREASES When the volume DECREASES, pressure INCREASES Boyle’s Law: P 1 V 1 = P 2 V 2 Initial conditions Final conditions
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GIVEN: V 1 = P 1 = V 2 = P 2 = WORK: P 1 V 1 = P 2 V 2 Ex. Problem #1: Boyle’s Law The volume of a gas is 200 mL at a pressure of 100 KPa. What is its volume at a pressure of 200 KPa? P 1 V 1 = P 2 V 2
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GIVEN: V 1 = P 1 = V 2 = P 2 = WORK: P 1 V 1 = P 2 V 2 Ex. Problem #2: Boyle’s Law If the pressure of the gas in the 4.0 L volume is 200 KPa what will the pressure be at 2.5 L?
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