lecture2 - 1 Property of Gases Chapter 1 and 21 of the...

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Unformatted text preview: 1 Property of Gases Chapter 1 and 21 of the textbook ● The perfect gas ● States of gases ● Gas law ● Kinetic model of gases ● Real gases ● Molecular interactions ● Van der Waals equation ● Principle of corresponding states Based on Rob Schurko’s note In this course, most assigned problems are from list A of the textbook! Homework 2 has been updated!! Re-download! Some problems are from the Numerical or Theoretical problems which is proceed with “P”, such as “P1.1” Perfect Gas ● Individual Gas ● EOS ● Gas laws & example ● Mixtures of Gases ● Partial pressure ● Mole fraction ● Example ● Molecular interpretation ● Deriving EOS ● Maxwell distribution ● Molecular speeds & meaning to everyday life ● Collision theory & Chemical kinetics 2 Chapter 1.2 Chapter 21.1-21.3 3 Prefect Gas Equation of State (EOS) ( , , ) p f T V n = pV nRT = We can vary p, V, n, T, but they always have following relation (Several equivalent form) R= 8.31451 J K-1 mol-1 : gas constant nRT nRT pV p V T V p nR ⇔ = ⇔ = ⇔ = 1 1 2 2 1 1 2 2 pV p V n T n T = In a industrial process, a gas goes from p 1 ,V 1 ,T 1 ,n 1 to p 2 ,V 2 ,T 2 ,n 2 , then 4 R is related to the Boltzmann constant, k: R = k x N A , where k = 1.3806 x 10-23 J K-1 N A = 6.022 x 10 23 mol-1 5 ● In an industrial Process, nitrogen enters the vessel at 100 atm and 300K, and is then heated to 500K at constant volume. What is the final pressure if it behaved as a perfect gas? Black board example 6 Prefect Gas Equation of State (EOS) Boyle’s Law: When n and T are constant: pV=const, p ∝ 1/V , V ∝ 1/p. Charles’ Law: If n and V are held constant: p ∝ T If n and p are held constant: V ∝ T Avogadro’s Principle: When T and p are constant : V ∝ n, p ∝ n . 1 1 2 2 1 1 2 2 pV p V n T n T = 1 1 2 2 pV pV = 1 2 1 2 p p T T = 1 2 1 2 V V T T = 1 2 1 2 V V n n = 1 2 1 2 p p n n = 7 Graph the Laws Isotherm lines Isobar lines Isochor lines http://hyperphysics.phy-astr.gsu.edu/Hbase/kinetic/idegas.html#c6 8 Visualize the laws Boyle’s Law Charles’ Law To see the movie, display in slide show mode. 9 P V T surface 10 Standard Condition standard ambient pressure and temperature (SATP): T = 298.15 K, p = 1 bar, molar volume of gas V m = 24.790 L mol-1 (This is the default condition) standard temperature and pressure (STP) T = 0 o C, p = 1 atm, molar volume of gas V m = 22.414 L mol-1 11 Mixture of Gases The partial pressure of a gas is the pressure it would exert if all the other gases in the mixture were absent. .........
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This note was uploaded on 12/09/2009 for the course CHE 301 taught by Professor Raineri,f during the Fall '08 term at SUNY Stony Brook.

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lecture2 - 1 Property of Gases Chapter 1 and 21 of the...

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