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Relationship of enthalpy with P and T

Show that the partial of H with respect to P at constant T =0 for an ideal gas.

Hint: start with dH=VdP+TdS. Divide by dP and impose constant T. Use a maxwell relation from dG.

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Solution Preview

Start with
dH = VdP + TdS (1)
divide (1) by dP:
dH/dP = V + T(dS/dP) (2)
we will come back to (2) later.

Now we ...

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