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  Home : Math & Science : Physics Study Guides : Thermodynamics : Gas : Problems
Gas Thermodynaics
 
 
Problems
Problem 2.1:
Calculate the pressure of a Fermi gas in its ground state.
[Solution]
Problem 2.2:
Check that the energy of the ground state of a Fermi gas is correct by calculating the chemical potential from it.
[Solution]
Problem 2.3:
A long series of calculations can be used to derive the entropy of the Fermi gas, and the result is σ = π2N. From this, calculate the heat capacity at constant volume.
[Solution]
Problem 2.4:
It turns out that the energy of a Bose gas is given by: U = where A is a constant that depends only on the volume. From this, calculate the heat capacity at constant volume.
[Solution]
Problem 2.5:
Using the knowledge that the entropy goes to zero as the temperature goes to zero, calculate the entropy from the heat capacity.
[Solution]
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