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### Day15

Course: PH 641, Fall 2008
School: Oregon State
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homework 1 PH641, set 14, due May 1, 2009 Show that the latent heat per mole of the liquid to vapor phase transition using the van der Waals equation state of is given by l12 (T ) = RT ln V2 - N b V1 - N b where V2 and V1 are the volumes of the gas and liquid that coexist at temperature T .

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homework 1 PH641, set 14, due May 1, 2009 Show that the latent heat per mole of the liquid to vapor phase transition using the van der Waals equation state of is given by l12 (T ) = RT ln V2 - N b V1 - N b where V2 and V1 are the volu...

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Oregon State - PH - 641
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Oregon State - PH - 641
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Oregon State - PH - 641
1PH641, homework set 15, due May 8, 2009We observe a large sample of radio active atoms. The probability that exactly k atoms decay in one second is k - e k! Show that this probability distribution is normalized properly, and calculate the average
Oregon State - PH - 641
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Oregon State - PH - 641
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Oregon State - PH - 641
1PH641, session 19, May 20, 2009Assigned Reading: Statistical Mechanics Notes 3.1-4 Helmholtz free energy Stot ( ) = SR (U0 - )+SS ( ) leads to minimum Helmholtz free energy. Partition function F = -kB T log(Z) Fluctuations Derive energy fluctuati
Oregon State - PH - 641
1PH641, homework set 17, due May 18, 2009A system has four possible states. One with energy zero, two with energy (this is a degenerate state), and one with energy 40 . Find the partition function and the internal energy as a function of temperatu
Oregon State - PH - 641
1PH641, homework set 19, due May 22, 2009The internal chemical potential of a system is given by = kB T log( ^ n ) + 0 (T ) ^ n0where n0 is a reference density and 0 the internal chemical potential at that ^ density. We have a collection of M o
Oregon State - PH - 641
1PH641, session 21, May 27, 2009Assigned Reading: Statistical Mechanics Notes 3.6-7 Gibbs factor prob e- k 1T (B n -Nn )Grand partition function Z =ne- k 1T (Bn -Nn )Grand potential = F - N = -kB T log(Z) Calculations Density of s
Oregon State - PH - 641
1PH641, homework set 20, due May 25, 2009Consider the chemical reaction: 2H2 + O2 2H2 O This reaction takes place in a container, no other species are present. We work at a given temperature and pressure, i.e. the system is in a container in whic
Oregon State - PH - 641
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