For a linear, freely rotating polymer molecule, the total chain length L depends on the bond length between chain atoms d, the total number of bonds in the molecule N, and the angle between adjacent backbone chain atoms 0, as follows: L = Nd sin (4.9) 2 Furthermore, the average end-to-end distance for a series of polymer molecules r in Figure P2 is equal to r=dVN (4.10) A linear polyethylene has a number-average molecular weight of 300,000 g/mol; compute average values of L and r for this material