To calculate the degree of polymerization (n) of polystyrene with a given molecular weight (MW), you can use the equation:
n = MW / Mmonomer
Where,
MW = Molecular weight of the polymer (in g/mol)
Mmonomer = Molecular weight of the monomer unit
In the case of polystyrene, the monomer unit is styrene with a molecular weight of 104.15 g/mol.
Therefore, to calculate the degree of polymerization (n) of polystyrene with a molecular weight of 3.091Γ10^6 g/mol, you can use the equation:
n = 3.091Γ10^6 g/mol / 104.15 g/mol
n β 29682.82
Therefore, the degree of polymerization (n) of polystyrene is approximately 29682.82.