A three-segment keratin molecule (found in, e.g. wool fibers) can be represented by a chain of identical elongated segments, Consider a simple model where the segments can be oriented either along the chain or perpendicular to it and are assumed to be independent. The contribution of each segment to the chain energy depends on its orientation with respect to the chain axis. (i) Draw all possible configurations of the chain and order them according to energy; specify the degeneracy of each energy level. The configurations of the chain in the ground state and its highest energy state are shown below. (ii) Calculate the average energy, the entropy, and the average length of the three- segment chain at 300 K. Express the energy in Kelvin, the entropy in units of ka, and the length in nanometers, Take To = 600 K, a = 1 nm, and b = 0.2 nm.