Arisaka_6C_Lec16_Thermodynamicscopy - Katsushi Arisaka...

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Katsushi Arisaka University of California, Los Angeles Department of Physics and Astronomy [email protected] 2/13/2015 Katsushi Arisaka 1
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Schedule (The middle 3 weeks) 2/9/2015 Katsushi Arisaka 2 Date Lecture Chapter Volum e Section Important Exmples in Textbook Contents Biologcal System Applications Lab Important Covered Skipped Thermodynamics Wed 1/28 9 13 1,2,3,4,5 2,3,5 Fluid, Pressure Metabolism, Hearing Ultrasound, Music Fri 1/30 10 13 1 6, 7 9, 10, 11 Buoysncy Blood Flow, Heart Mon 2/2 11 Special Lecture What is Life? C. Elegans Lab Wed 2/4 12 13 1 8, 9,10 14 11,12,13 12, 13, 15 Bwenoulli's Equation Fish, Bird Air Plane, Yacht Fri 2/6 13 17 1 1,2,3,4,6,7,8,9 5,10 1,2,3,7,10,12,13,14, 15 The ideal gal law Mon 2/9 14 18 1 1,2,3,4 6,7 5 1,2,4,6 Kinetic Theory of Gas Diffusion, Molecular Motion (4) Thermodynamics Wed 2/11 15 19 1 1,2,3,4,5 1,2,3,5 Heat Heating System Fri 2/13 16 19 1 6,7,8,10 9 7,8,10,11,14 First Law of Thermodynamics Entropy and Life Engine, Refrigenetors Mon 2/16 * (Holiday) (No meeting) Wed 2/18 Second Midterm in class Fri 2/20 17 20 3 1,2,3,4,5,6 7,8,9 10,11 1,2,6,7,9 The Second Law of Thermodynamics Evolution of Life
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Quiz, HW, 2 nd Midterm Ø Quiz § Chapter 18 à 10 am on Mon, Feb 9 § Chapter 19 à 10 am on Wed, Feb 11 Ø Homework § Chapter 17 à 1 am on Wed, Feb 11 § Chapter 18 à 1 am on Sun, Feb 15 § Chapter 19 (Part 1) à 1 am on Mon, Feb 16 § Chapter 19 (Part 2) à 1 am on Tue, Feb 17 Ø Second Midterm § On Wednesday, Feb 18 in class § Chapter 13, 17 – 19 (whatever covered in class) § More information this weekend. 1/12/2015 Katsushi Arisaka 3
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17-1 Atomic Theory of Matter Solid Liquid Gas 2/13/2015 Katsushi Arisaka 4 Fluid High Low Temperature
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We can now write the ideal gas law : where n is the number of moles and R is the Universal Gas Constant . 17-7 The Ideal Gas Law 2/13/2015 Katsushi Arisaka 5
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Therefore we can write: where k is called Boltzmann s constant . 17-9 Ideal Gas Law in Terms of Molecules or 2/13/2015 Katsushi Arisaka 6 No. of Molecule Avogadro’s number
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Rewriting, so The average translational kinetic energy of the molecules in an ideal gas is directly proportional to the temperature of the gas. 18-1 The Ideal Gas Law 2/11/2015 Katsushi Arisaka 7 K 1 2 mv 2 = 3 2 PV N = 3 2 kT Boltzmann s constant
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Chapter 19 Heat and the First Law of Thermodynamics 2/13/2015 Katsushi Arisaka 8
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The sum total of all the energy of all the molecules in a substance is its internal energy . Temperature ( T ) : measures molecules average kinetic energy Internal energy ( E int ) : total energy of all molecules Heat ( Q ) : transfer of energy due to difference in temperature 19-2 Internal Energy 2/13/2015 Katsushi Arisaka 9
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Internal energy of an ideal (atomic) gas : But since we know the average kinetic energy in terms of the temperature, we can write: 19-2 Internal Energy 2/13/2015 Katsushi Arisaka 10 = 3/2 nRT
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If the gas is molecular rather than atomic , rotational and vibrational kinetic energy need to be taken into account as well.
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