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August 2, 2014

Homework Help: physics

Posted by esmat on Monday, June 13, 2011 at 5:31pm.

Consider N atoms con¯ned on a surface of area A at temperature T . The atoms
form a two-dimensional (2D) gas of classical, noninteracting particles.
(a) Calculate the partition function for the system.
(b) Calculate the Helmholtz free energy, F , of the gas. Compare it with the 3D
case.
(c) Calculate the internal energy of the gas. Compare it with the 3D case.
(d) Calculate the surface tension of the gas, ° = (@F=@A)T;N .
(e) Calculate the momentum distribution n(p) which determines the number of
atoms N(p) with momenta between p and p + dp: N(p) = n(p)dp

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