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Consider a stretched rubber band where experimental observations show that the tension f is proportional to...

Consider a stretched rubber band where experimental observations show that the tension f is proportional to temperature T if length L is held constant. Show that

1) The internal energy U is only a function of temperature.

2) adiabatic stretching of the band results in an increase in temperature.

3) the band will contract if warmed while kept under constant tension.

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