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    For step-wise polymerization, the correct plot of chain length against degree of polymerization is
    Question



    For step-wise polymerization, the correct plot of chain length

    against degree of polymerization

    is

    A.

    B.

    C.

    D.

    Correct option is C

    The degree of polymerization, which is defined as the average number of monomer residues per polymer molecule. This quantity is the ratio of the initial concentration of A, [A]o , to the concentration of end groups, [A], at the time of interest, because there is one -A group per polymer molecule. For example, if there were initially 1000 A groups and there are now only 10, each polymer must be 100 units long on average. Because we can express [A] in terms of p, the average number of monomers per polymer molecule, <n>, is

    This result is illustrated in figure. Expressing p in terms of the rate constant k

    The average length grows linearly with time. Therefore, the longer a stepwise polymerization proceeds, the higher the average molar mass of the product.

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