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BEHAVIOR OF GASES Chapter 12. THREE STATES OF MATTER. Importance of Gases. Airbags fill with N 2 gas in an accident. Gas is generated by the decomposition of sodium azide, NaN 3 . 2 NaN 3 ---> 2 Na + 3 N 2. General Properties of Gases. There is a lot of “free” space in a gas.
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Importance of Gases • Airbags fill with N2 gas in an accident. • Gas is generated by the decomposition of sodium azide, NaN3. • 2 NaN3 ---> 2 Na + 3 N2
General Properties of Gases • There is a lot of “free” space in a gas. • Gases can be expanded infinitely. • Gases occupy containers uniformly and completely. • Gases diffuse and mix rapidly.
KINETIC MOLECULAR THEORY(KMT) Theory used to explain gas laws • Gases consist of molecules in constant, random motion. • P arises from collisions with container walls. • Collisions elastic. No attractive / repulsive forces between molecules. • Volume of molecules is negligible.
Properties of Gases Gas properties can be modeled using math. Model depends on— • V = volume of the gas (L) • T = temperature (K) • n = amount (moles) • P = pressure (atm)
Pressure Air Pressure is measured with a BAROMETER (developed by Torricelli in 1643)
Pressure Hg rises in tube until force of Hg (down) balances the force of air (pushing up). P of Hg pushing down related to • Hg density • column height
Pressure Column height measures P 1 atm= 760 mm Hg or 29.9 inches Hg = 34 feet of water SI unit is PASCAL, Pa, 1 atm = 101.3 kPa
twice as many molecules Avogadro’s Hypothesis Equalvolumes of gases at the same T and P have the samenumber of molecules. V = n (RT/P) = n k V and n are directly related.
Avogadro’s Hypothesis and Standard Molar Volume V = n k = n x 22.4 L/mol at STP 1 mol of ANY gas occupies 22.4 L at STP + + = ? L 1mol 1mol 1mol
Boyle’s Law If n and T are constant, then PV = (nRT) = k This means, P and V are inversely related Robert Boyle (1627-1691). Son of Early of Cork, Ireland.
BOYLE’S LAB P inversely proportional to V
Practice Problem • If you had a gas that exerted 202 kPa of pressure and took up a space of 3.00 liters. If you decide to expand the tank to 7.00 liters, what would be the new pressure? (Assume constant T) • P1V1=P2V2 • 202 kPa x 3.00 liters = P2 x 7.00 liters • 606 = P2 x 7.00 liters • P2 = 86.8 kPa
Charles’s Law If n and P are constant, then V = (nR/P)T = kT V and T are directly related. Jacques Charles (1746-1823). Isolated boron and studied gases. Balloonist.
Charles’s original balloon Modern long-distance balloon
Practice Problem • If you took a balloon outside 5.00C that was originally inside at 20.00C at 2.0 liters, what volume would the balloon occupy when cold? (constant P)
Gas Volume, Temperature, and Pressure COMBINED GAS LAW: Combines Charles and Boyle’s Law P1V1 = P2V2 T1 T2