(c) Calculate the degree of polymerization n of polystyrene with a molecular weight of 3.091×106 g/mol.
To calculate the degree of polymerization (n) of a polymer, we need to know the molecular weight of the polymer (M) and the molecular weight of the repeating unit (m).
In this case, the molecular weight of polystyrene (M) is given as 3.091 × 10^6 g/mol.
Polystyrene is made up of styrene repeating units, and the molecular weight of one styrene unit (m) is about 104 g/mol.
To calculate the degree of polymerization (n), we use the formula:
n = M/m
Plugging in the given values:
n = 3.091 × 10^6 g/mol / 104 g/mol
Simplifying this equation, we get:
n ≈ 29760
So, the degree of polymerization of polystyrene with a molecular weight of 3.091 × 10^6 g/mol is approximately 29760.