The figure below gives the force magnitude F versus stretch distance x for a rub

Question

The figure below gives the force magnitude F versus stretch distance x for a rubber band, with the scale of the F axis set by Fs = 1.55 N and the scale of the x axis set byxs = 2.80 cm. The temperature is 2.00

The figure below gives the force magnitude F versus stretch distance x for a rubber band, with the scale of the F axis set by Fs = 1.55 N and the scale of the x axis set byxs = 2.80 cm. The temperature is 2.00 degree C. When the rubber band is stretched by x = 1.95 cm, at what rate does the entropy of the rubber band change during a small additional stretch?

Explanation / Answer

the work done on rubber band when it is stretched distance x is

W = Fx

where F = 1.55 N and x = 1.95 cm = 1.95 x 10^-2 m

the temperature is T = 2.00 oC = 2.00 + 273 K = 275 K

the entropy is

S = (W/T)

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