Editing Helmholtz energy function
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[[Hermann Ludwig Ferdinand von Helmholtz]] | |||
Definition of | Definition of '''A''' (for ''arbeit''): | ||
:<math>A | :<math>\left.A\right.=U-TS</math> | ||
where ''U'' is the [[internal energy]], ''T'' is the [[temperature]] and ''S'' is the [[Entropy|entropy]]. | where ''U'' is the [[internal energy]], ''T'' is the [[temperature]] and ''S'' is the [[Entropy|entropy]]. | ||
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:<math>\left.dA\right.=dU-TdS-SdT</math> | :<math>\left.dA\right.=dU-TdS-SdT</math> | ||
From the [[Second | From the [[Second law of thermodynamics]] one obtains | ||
:<math>\left.dA\right.=TdS -pdV -TdS-SdT</math> | :<math>\left.dA\right.=TdS -pdV -TdS-SdT</math> | ||
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:<math>\left.A\right.=-k_B T \ln Q_{NVT}</math> | :<math>\left.A\right.=-k_B T \ln Q_{NVT}</math> | ||
[[Category: Classical thermodynamics]] | [[Category: Classical thermodynamics]] | ||
See also the [[Canonical ensemble]]. |