Assume the internal energy of an elastic fiber under tension (see Problem P6.16) is give...

Assume the internal energy of an elastic fiber under tension (see Problem P6.16) is given by dU = T dS - . Obtain an expression for and calculate the maximum nonexpansion work obtainable when a collagen fiber contracts from to 10.0 cm at constant P and T. Assume other properties as described in Problem P6.16.

Reference Problem P6.16

Collagen is the most abundant protein in the mammalian body. It is a fibrous protein that serves to strengthen and support tissues. Suppose a collagen fiber can be stretched reversibly with a force constant of k = 10.0 N m^-1 and that the force F (see Table 2.1) is given by When a collagen fiber is contracted reversibly, it absorbs heat q_rev = 0.050 J . Calculate the change in the Helmholtz energy as the fiber contracts isothermally from to 0.10 m. Calculate also the reversible work performed w_rev,ΔS , andΔ U. Assume that the temperature is constant at T = 310.