PHY 341641 Thermodynamics and Statistical Physics Lecture 32

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PHY 341/641 Thermodynamics and Statistical Physics Lecture 32 Analysis of classical gases and liquids

PHY 341/641 Thermodynamics and Statistical Physics Lecture 32 Analysis of classical gases and liquids (STP Chapt. 8) • Comments about exam • Virial coefficients • Radial distribution functions 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 1

-- student presentations 4/30, 5/2 (need to pick topics) 12/7/2020 PHY 341/641 Spring 2012

-- student presentations 4/30, 5/2 (need to pick topics) 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 2

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 3

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 3

Part of SPS zone 5 conference April 20 -21, 2012 Received 1997 Nobel Prize

Part of SPS zone 5 conference April 20 -21, 2012 Received 1997 Nobel Prize with Steven Chu and Claude Cohen-Tannoudji “for development of methods to cool and trap atoms with laser light” www. wfu. edu/physics/spszone 52012 conf/welcome. html 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 4

Suggestions for efficient learning of topics covered on exam A. Let it stand as

Suggestions for efficient learning of topics covered on exam A. Let it stand as is B. Redo exam – turn in work to count points in HW grade C. Redo exam – meet with instructor to discuss remaining issues (grading points to be determined) D. Other? ? 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 5

e H=0 or S=0 H>0 S=2 12/7/2020 H>0 S=1/2 PHY 341/641 Spring 2012 --

e H=0 or S=0 H>0 S=2 12/7/2020 H>0 S=1/2 PHY 341/641 Spring 2012 -- Lecture 32 6

Hint for finding single particle partition function 12/7/2020 PHY 341/641 Spring 2012 -- Lecture

Hint for finding single particle partition function 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 7

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 8

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 8

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 9

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 9

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 10

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 10

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 11

Hint for Problem 1 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 11

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 12

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 12

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 13

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 13

Hint for #3 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 14

Hint for #3 continued: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 14

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 15

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 15

See STP Chapt. 7 and Lecture Notes 28 12/7/2020 PHY 341/641 Spring 2012 --

See STP Chapt. 7 and Lecture Notes 28 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 16

Gibbs chemical potential at coexistence point gas 12/7/2020 liquid PHY 341/641 Spring 2012 --

Gibbs chemical potential at coexistence point gas 12/7/2020 liquid PHY 341/641 Spring 2012 -- Lecture 27 17

Suggestions for efficient learning of topics covered on exam A. Let it stand as

Suggestions for efficient learning of topics covered on exam A. Let it stand as is B. Redo exam – turn in work to count points in HW grade C. Redo exam – meet with instructor to discuss remaining issues (grading points to be determined) D. Other? ? 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 18

Resume discussion of virial coefficients: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 19

Resume discussion of virial coefficients: 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 19

u. HC(r) Model simulations of ZC s 12/7/2020 PHY 341/641 Spring 2012 -- Lecture

u. HC(r) Model simulations of ZC s 12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 r 20

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 21

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 21

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 22

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 22

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 23

12/7/2020 PHY 341/641 Spring 2012 -- Lecture 32 23

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