You have synthesized a novel polyelectrolyte that is soluble in water. To characterize

it$,$ you perform several careful small$-$angle lights scattering experiments. The

normalized$-$data for two different experiments is given in the two tables below.

a$)$ Using the data in the first table, $\frac{K}{R_{}}(c),$ taken at the smallest scattering angle possible

on the instrument, calculate the weight$-$average molecular weight and magnitude of $A_2,$

the second virial coefficient.

b$)$ Using the data in the second table, $\frac{K}{R_{}}(q),$ taken at a low concentration of $10\frac{g}{m}L,$

determine the radius of gyration of the polyelectrolyte.