A strip of rubber has the equation of state where F is the tension, Newtons T is the temperature,…

A strip of rubber has the equation of state

where F is the tension, Newtons

T is the temperature, °K

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1 is the length per unit mass, m/kg

1o is the unstretched length per unit mass, and

is a function of the temperature

k is a constant

By considering the specific entropy s of the rubber to be a function of T and 1, or otherwise, show that

where C1 is the specific heat at constant length. Hence show that if the rubber is stretched adiabatically and reversibly, the change of temperature is given by

 

 

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