Problem 2.8. Experimentally one finds that for a rubber band where J is the tension, a =
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Problem 2.8. Experimentally one finds that for a rubber band
where J is the tension, a = 1.0 x 10 dyne/K, and Lo = 0.5 m is the length of the band when no tension is applied. The mass of the rubber band is held fixed.
(a) Compute (OL/OT), and discuss its physical meaning.
(b) Find the equation of state and show that dJ is an exact differential.
(c) Assume that the heat capacity at constant length is CL = 1.0J/K. Find the work necessary to stretch the band reversibly and adiabatically to a length of 1 m. Assume that when no tension is applied, the temperature of the band is T 290 K. What is the change in temperature?
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