Second law of thermodynamics: Difference between revisions
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Carl McBride (talk | contribs) m (New page: For a reversible change :<math>dQ=TdS</math> Thus for a closed system (<math>n</math> fixed): :<math>dU=TdS -PdV</math> For an open system: :<math>dU=TdS -PdV + \mu dN</math> For <ma...) |
Carl McBride (talk | contribs) mNo edit summary |
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For a reversible change | For a reversible change | ||
:<math>dQ=TdS</math> | :<math>\left.dQ\right.=TdS</math> | ||
Thus for a closed system (<math>n</math> fixed): | Thus for a closed system (<math>n</math> fixed): | ||
:<math>dU=TdS -PdV</math> | :<math>\left.dU\right.=TdS -PdV</math> | ||
For an open system: | For an open system: | ||
:<math>dU=TdS -PdV + \mu dN</math> | :<math>\left.dU\right.=TdS -PdV + \mu dN</math> | ||
For <math>U(S,V)</math> one has the following total differential | For <math>U(S,V)</math> one has the following total differential | ||
:<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> | ||
Revision as of 19:05, 22 February 2007
For a reversible change
Thus for a closed system ( fixed):
For an open system:
For one has the following total differential
