- #1

billybob5588

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**[SOLVED] thermal physics**

## Homework Statement

the differential of enthalpy is given by dH=TdS-VdP

## Homework Equations

Beginning with the above relationship, find the equation for the differential of the entropy and then show that (d(1/T)/dp)|H=(d(V/T)/dH)|p

## The Attempt at a Solution

this is what i got so far...

i rearranged dH=TdS-VdP to make S the subject which gives dS=dH/T+Vdp/T

then since S=S(H,p) and using the definition of the differential of S;

dS=(dS/dH)|p*dH+(dS/dp)|H*dp

i got then 1/T=(dS/dH)|p & V/T=(dS/dp)|H

i don't know what to do next and to how to exactly reach the final term of (d(1/T)/dp)|H=(d(V/T)/dH)|p

please help , kind regards