Enthalpy: Difference between revisions

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:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>
:<math>dH=\left(\frac{\partial H}{\partial S}\right)_p dS + \left(\frac{\partial H}{\partial p}\right)_S dp</math>
[[Category: Classical thermodynamics]]

Revision as of 16:27, 23 February 2007

Definition of the enthalpy, H

H=U+pV

(-pV) is a conjugate pair. The differential of this function is

dH=dU+pdV+Vdp

From the Second law of thermodynamics one obtains

dH=TdS−pdV+pdV+Vdp

thus we arrive at

dH=TdS+Vdp

For H(S,p) we have the following total differential

dH=(∂H∂S)pdS+(∂H∂p)Sdp