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## Homework Statement

For a material given by U=C

_{1}PV

^{2}and PV

^{2}=C

_{2}T

Find the entropy

## Homework Equations

dS/dU = 1/T; dU/dV = -P

I don't know if I require anything else

## The Attempt at a Solution

So from 2 equations I got U = C

_{1}

C

_{2}T

But dU/dT is not equal to S. Which equation do I use to get the entropy? I was thinking of using F = U-TS. Which will give F = C

_{1}PV

^{2}- TS And then doing dF/dT but then I didn't use the 2nd condition at all.

What am I missing?