Deriving the equation for lines of constant enthalpy

djkuehlos14

How would one derive the equation for (dP/dV)H? That is the partial of P over the partial of V, holding H constant. I've tried many different things, triple product rule, maxwell relationships, and nothing seems to work. I appreciate any advice.

Chestermiller

Quote by djkuehlos14

How would one derive the equation for (dP/dV)H? That is the partial of P over the partial of V, holding H constant. I've tried many different things, triple product rule, maxwell relationships, and nothing seems to work. I appreciate any advice.

You need to start with the equation of state, and write
[tex]dT=(\frac{\partial T}{\partial P})_VdP+(\frac{\partial T}{\partial V})_PdV[/tex]

You need to combine this with the equation:

[tex]dH=C_PdT+(V-T(\frac{\partial V}{\partial T})_P)dP[/tex]

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djkuehlos14	Deriving the equation for lines of constant enthalpy Tweet How would one derive the equation for (dP/dV)H? That is the partial of P over the partial of V, holding H constant. I've tried many different things, triple product rule, maxwell relationships, and nothing seems to work. I appreciate any advice.