Unit 5: Gases Physical Properties Standards 4a. Students know the random motion of molecules and their collisions with a surface create the observable pressure on the surface 4b. Students know the random motion of molecules explains the diffusion of gases A. Kinetic Molecular Theory Used to predict and explain the behavior of a theoretical gas or ‘ideal gas’ Particles in an ideal gas… • have no volume or elastic collisions • in constant, rapid, random, straight-line motion • don’t attract or repel each other ‘Ideal gases’- are elastic (do not lose energy upon collision) Cannot be compressed given a change in temperature Can be measured using the eq. KE= 1/2mv2 B. Real Gases Particles in a REAL gas… • have their own volume • attract each other Gas behavior is most ideal… • at low pressures • at high temperatures • in nonpolar atoms/molecules C. Characteristics of Gases Gases expand to fill any container • Random constant motion, no attraction very low densities C. Characteristics of Gases can be compressed given a change in Temp/Pressure State Changes Diffusion The movement of one material through another. The rate depends on the mass of the particles Lighter = rapid diffusion Effusion When a gas escapes through a tiny opening Rate of effusion can be calculated according to Graham’s law of effusion: Rate of effusion = 1/SQRT MM Effusion Using Graham’s Law, you can also set up a proportion to compare the diffusion rates for two gases ** see eq on board. Ammonia has a molar mass of 17.0 g/mol; hydrogen chloride has a molar mass of 36.5 g/mol. What is the ratio of their diffusion? D. Describing Gases Gases can be described by their: • Temperature •K • Pressure • atm • Volume •L • Number of molecules/moles • # E. Temperature Always use absolute temperature (Kelvin) when working with gases! ºF -459 ºC -273 K 0 C F 32 5 9 32 212 0 100 273 373 K = ºC + 273 F. Pressure force pressure area Which shoes create the most pressure? F. Pressure Barometer • measures atmospheric pressure exact height of the Hg depends on atmospheric pressure usually measured in mm Hg F. Pressure Manometer • measures contained gas pressure Difference in height in two arms of U-tube is measure of pressure of gas sample measured in various different units F. Pressure KEY EQUIVALENT UNITS 101.325 kPa (kilopascal) 1 atm 760 mm Hg 760 torr 14.7 psi N Pa 2 m G. STP STP Standard Temperature & Pressure 0°C 273 K -OR- 1 atm 101.325 kPa H. Pressure Problem 1 The average pressure in Denver, Colorado, is 0.830 atm. Express this in (a) mm Hg and (b) kPa. (a) 0.830 atm 760 mm Hg = 631 1 atm mm Hg (b) 0.830 atm 101.325 kPa= 84.1 1 atm kPa H. Pressure Problem 2 Convert a pressure of 1.75 atm to kPa and mm Hg. (a) 1.75 atm 101.325 kPa = 177 1 atm kPa (b) 1.75 atm 760 mm Hg 1 atm = 1330 mm Hg H. Pressure Problem 3 Convert a pressure of 570. torr to atmospheres and kPa. (a) 570 torr 1 atm 760 torr (b) 570 torr = .750 atm 101.325 kPa = 76.0 760 torr kPa