The viscosities of a series of solutions of polystyrene in toluene were measured at $25C$ and the results obtained are summarized below in Table $1.$ Determine the molecular weight of this polymer?

The Mark$-$Houwink$-$Sakurada constants for this system are $K=4\mathrm{.}510-4Lg-1$ and $a=0\mathrm{.}5.$

Table $1.$ Viscosity measurements obtained for a series of polystyrene solutions in toluene

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