The structure of the monomer with empirical formula C4H6 and two double bonds can be represented as follows:
H2C=CH-CH=CH2
The degree of polymerization (DP) is defined as the number of monomer units in a polymer chain. If the polymer molecular weight is 108000, the DP can be calculated as follows:
DP = Molecular weight of polymer / Molecular weight of monomer
DP = 108000 / (12 + 6 + 14)
DP = 108000 / 32
DP = 3375
Therefore, the degree of polymerization of the polymer is 3375.