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billybob5588
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[SOLVED] thermal physics
the differential of enthalpy is given by dH=TdS-VdP
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
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
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