1. The problem statement, all variables and given/known data(adsbygoogle = window.adsbygoogle || []).push({});

Suppose a thermodynamic system consists of a wire of length L under a tension T show that:

(dF/dL)=T

and

(dF/dT)=-S

(both are partial derivatives)

2. Relevant equations

F=U-TS

H=U+PV

G=U+PV-TS

dU=TdS-pdV

dF=-SdT-pdV

dH=TdS+Vdp

dG=-SdT+Vdp

dQ=TdS

dW=pdV

I'm getting confused with the T for temperature and T for tension. Please explain to me how to do this as I have no idea about where I should begin.

Thank You

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Help with proof of thermodynamics equation!

**Physics Forums | Science Articles, Homework Help, Discussion**