An unbranched poly-ethylene chain contains 1000 carbon atoms: CH3-[CH2-CH2]499-CH3 There is free rotation around the o bonds that link the carbon atoms. However, steric constraints dictate that each of these torsional angles can only adopt three values (corresponding to the "staggered" orientations 60, 180, and 300). (a) Calculate the entropy of one chain (J K-). (b) Calculate the entropy of 3 moles of chains (J K-).