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Calculating Entropy of a Star using Heat Capacity 
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#1
Feb612, 05:04 PM

P: 76

1. The problem statement, all variables and given/known data
Using the viral theorem, the heat capacity of a star is given as C=3*k/2. Using this, I need to calculate the entropy of a star in terms of the average temperature T, then in terms of U (total energy). 2. Relevant equations dS=C*dT/T 3. The attempt at a solution To solve for S, I integrated getting S=(3/2)*k*ln(tf/ti)+C. How do I solve this for S? This function is undefined when Temperature is 0... Thanks in advance! 


#2
Feb612, 05:50 PM

P: 2,179

Since a star is close to being an ideal gas, you should be able to use the SackurTetrode equation to calculate its entropy.
http://en.wikipedia.org/wiki/Sackur%...trode_equation 


#3
Feb612, 06:18 PM

P: 76

That is what I was thinking too, but the problem specifically states that you need to use the heat capacity to determine the Entropy. :(



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