Calculate the degree of polymerization n of polystyrene with a molecular weight of 3.091×106 g/mol.
3.091 x 10^6** not 106
The monomeric unit is C6H5C*HC*H2
with the asterisks denoting the points at which the other monomers hook. Therefore, the monomeric empirical formula mass is 104 (that's not 10^4 but 104 as in one hundred four.
So 3.091E6/104 = ? = n.
I suppose that must be rounded to a whole number.
To calculate the degree of polymerization (n) of polystyrene, you can use the relationship between molecular weight and the average molar mass of one repeat unit:
n = Molecular weight / Average molar mass of one repeat unit
The repeat unit of polystyrene is styrene, which has a molar mass of 104.15 g/mol.
Let's plug in the values and calculate the degree of polymerization:
n = 3.091×10^6 g/mol / 104.15 g/mol
n ≈ 29,688
Therefore, the degree of polymerization of polystyrene with a molecular weight of 3.091×10^6 g/mol is approximately 29,688.
To calculate the degree of polymerization (n) of a polymer, we need to know the molecular weight (M) of the polymer and the molecular weight of the repeating unit (M0).
The formula for calculating the degree of polymerization is:
n = M / M0
In this case, the molecular weight of polystyrene (M) is given as 3.091×10^6 g/mol. However, we need to find the molecular weight of the repeating unit (M0) for polystyrene.
The repeating unit of polystyrene is styrene, which has a molecular weight of 104.15 g/mol. Therefore, M0 = 104.15 g/mol.
Now we can substitute the values into the formula:
n = M / M0 = (3.091×10^6 g/mol) / (104.15 g/mol)
Calculating this division will give us the degree of polymerization (n) of polystyrene.