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4. For many polymers, the relation between force and displacement is temperature-dependent and nonlinear: F(x,T)=Tg(x), where g(x) is a positive function of x. A) Find

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4. For many polymers, the relation between force and displacement is temperature-dependent and nonlinear: F(x,T)=Tg(x), where g(x) is a positive function of x. A) Find Z(x,T), up to an unknown multiplicative function of T. B) Show that when such a polymer is stretched isothermally, its entropy always decreases

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