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

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1 Lecture 6 Ideal gas (continued) 3/2 2 , , 3/2 2 , 2 2 5 2 (comes from ) 3 2 V T N T N V F N h kT n N V mkT F NkT P V V F V mkT S Nk n T N 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 3 3 3 /2 1 1 0 2 2 3 0 ( ) compute as we did before in Microcanonical ( ) 2 3 ! ! 2 2 ( ) 1 ( ) 3 ! 1 ! 2 N N N N N N N N E E V E mE N N h m E V g E E A e E dE N E N 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, E x .Then one finds, 0 E e
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