## Deriving the equation for lines of constant enthalpy

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.

 PhysOrg.com engineering news on PhysOrg.com >> Company pioneering new types of material for 3-D printer 'ink'>> Student-built innovations to help improve and save lives>> Researchers use light projector and single-pixel detectors to create 3-D images

Recognitions:
Gold Member
 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.
$$dT=(\frac{\partial T}{\partial P})_VdP+(\frac{\partial T}{\partial V})_PdV$$

You need to combine this with the equation:

$$dH=C_PdT+(V-T(\frac{\partial V}{\partial T})_P)dP$$

 Tags chemical engineering, enthalpy, p-v diagram, thermodynamics