The repeat unit in a polystyrene coffee cup has the formula C₆H₅CHCH₂. If the molar mass of the polymer is 3.5x10⁵ g/mol, what is the degree of polymerization?



Answer :

The degree of polymerization can be calculated:

n =Molar mass of polymer /Molar mass of monomer     (eq1)

Monomer molar mass is calculated as:

mC6H5CHCH2=mC+mH

Since we have a total of 8 atoms of C, each of molar mass 12 g/mol and a total of 8 atoms of H, each of molar mass 1 g/mol  we will have:

=8.12+8.1

=104gm/mol

Substituting values to eq. (1) we get:

n=3.5x10^5 gmol / 104 gmol=3.4⋅103

n = 3.4 x 10^3

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