Polymer can be defined as the large molecule which is made up of repeating units of smaller molecules which are linked by covalent bonds.
Polymer mass : The molecular weight of the polymer is called as polymer mass.
μ(polymer)=μ(repeat)∗n
where n is degree of polymerization.
Rg= square root of(nl2/6R)
where,
R = Radius of gyration.
n = degree of polymerization.
l = length of each repeating unit.
for calculating n;
MPolymer= Mrepeat∗n
=(2.8∗10^5g/mol)=[42.08g/mol]∗n
n=(2.8∗105g/mol)/(42.08g/mol)=6.7∗103.n
The molar mass of repeating unit = 42.08 g/mol
Rg= square root of ( nl2/6R )
= square root of (6.7∗103∗(0.252∗10^(−10))2/6)
Rg= 8.4pm
to know more about radius of gyration here
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