- #1

Uriel

- 16

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## Homework Statement

Basically I have the following problem. Given the equation of state [itex]\sigma = \frac{b}{T}\frac{L - L_0}{L_0}[/itex] where b and [itex]L_0[/itex] are positive constants, calculate the work done over a Carnot cycle by a wire with this equation of state.

## Homework Equations

I already have the work done over the isoterm curves. But when I try to calculate the work on the adiabatic processes I just get stuck over and over again.## The Attempt at a Solution

I use the first law of thermodynamics

[itex] du = \delta Q + \delta W[/itex]

also we know that the work for this system is the following

[itex]\delta W = - \tau dL[/itex]

and in a book of basic thermodynamics I have found that

[itex]dT = -\frac{T}{c_\tau}\left( \frac{\partial L}{\partial T} \right)_\tau d\tau[/itex]

Any ideas?

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