Second law of thermodynamics: Difference between revisions

Revision as of 16:27, 23 February 2007

For a reversible change

d Q = T d S

Thus for a closed system ( $n$ fixed):

d U = T d S - P d V

For an open system:

d U = T d S - P d V + μ d N

For $U (S, V)$ one has the following total differential

d U = {(\frac{\partial U}{\partial S})}_{V} d S + {(\frac{\partial U}{\partial V})}_{S} d V

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	:<math>dU=\left(\frac{\partial U}{\partial S}\right)_V dS + \left(\frac{\partial U}{\partial V}\right)_S dV</math>		:<math>dU=\left(\frac{\partial U}{\partial S}\right)_V dS + \left(\frac{\partial U}{\partial V}\right)_S dV</math>

			[[Category: Classical thermodynamics]]