Chem 111 Fall 2009 Gas Equations Kinetic energy of one molecule Average Kinetic energy of many molecules Maxwell s Equation Average speed of gas molecules Graham s Law of Gas Effusion used to determine molar mass Boyle s Law P1V1 P2V2 Charles Law V1 V2 T1 T2 Avogadro s Law V1 V2 n1 n 2 Chem 111 Fall 2009 Ideal Gas Law PV nRT Combined Gas Law P1V1 P2V2 n1T1 n 2T2 Gas Density M dRT P Dalton s Law of Partial Pressures Ptotal PA PB PC PA n A Ptotal n total Partial Pressure of a Gas PA Ptotal A A B C 1 Common Units of Gas Pressure 1 atm 1 013 bar 101 3 kPa kilopascal 760 torr 760 mmHg mm mercury 14 7 psi pounds per sq inch Chem 111 Fall 2009 In class examples for Gas Laws 1 A gas has a volume of 3L at 2 atm What is its volume at 4 atm 2 A gas has a volume of 4 1 L at 127 C What is its volume at 227 3 What volume does 7 4 grams of ethane C2H2 occupy at standard temperature and pressure 4 The propane tank of a camping stove contains 3 000g of liquid C3H8 How large a container would be needed to hold the same amount of propane as a gas at 25 C and 2250mmHg Chem 111 Fall 2009 5 Argon is an inert gas that is used in lightbulbs to retard the vaporization of the filament A certain lightbulb containing 0 argon at 1 20 atm and 18 C is heated to 85 0C at constant volume What is the final pressure of argon in the lightbulb in atm 6 A gas exerts a pressure of 0 892 atm in a 5 00 L container at 15 C The density of the gas is 1 22 g L What is the molecular mass of the gas 7 A sample of natural gas contains 8 24 moles of CH4 0 421 moles of C2H6 and 0 116 moles of C3H8 If the total pressure of the gases is 1 37 atm what is the partial pressure of propane C3H8
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