Lecture 6 - Lecture 6 Ideal gas (continued) h2 N F kT n N V...

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1 Lecture 6 Ideal gas (continued)   3/2 2 , , 2 , 2 25 2 (comes from ) 3 2 VT NT NV F N h kT n N V mkT F NkT P VV F V mkT S Nk n TN h U n Q U F TS NkT                  Partition Function from Density of States 0 ( , ) ( ) E N Q V T e g E dE     0 3 /2 3 /2 0 3 33 3 /2 1 1 0 22 3 0 ( ) compute as we did before in Microcanonical ( ) 2 3 ! ! 2 2 () 1 ( ) 3 ! 1! 2 NN N N N N E E V E mE N Nh m E V g E E A e E dE N EN h     The integral for ( , ) N Q V T is of the form 0 E e E dE  . Note that the  function is defined as 0 ( 1) x e x dx Make a change of variable, Ex .Then one finds, 0 E e E dE = 1 0 1 x e x dx = 11 ( !     3 1 2 3 0 2 3 2 ( , ) N E N N N Q V T A e E dE A 3 /2 3 12 ( , ) !
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This note was uploaded on 09/28/2011 for the course PHYSICS 971 taught by Professor Chakabarti during the Spring '10 term at Kansas State University.

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Lecture 6 - Lecture 6 Ideal gas (continued) h2 N F kT n N V...

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