Finding the energy of a system using the partition function

dacruick
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Homework Statement



In part a) to this question I calculated the partition function which is Z = 1 + 3/e + 5/e^2



Homework Equations



I can't find an equation relating U to Z.


The Attempt at a Solution



If someone has an explanation or a link to an equation that would be great. Thanks.
 
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What's your situation, what type of particles are you considering?
 
it does not specify but we deal mostly with ideal gases.
 
Wikipedia has a brief summary.

http://en.wikipedia.org/wiki/Partition_function_(statistical_mechanics )
 
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Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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