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A polymer sample contains 3 molecules of molar mass $10^3, 3$ molecules of molar mass 500 and 4 molecules of molar mass 200 . What is its weight average molecular mass?
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$737.7$
$\begin{aligned} & \bar{M}_w=\frac{\sum n_i M_i^2}{\sum n_i M_i} \\ & =\frac{\left(3 \times\left(10^3\right)^2\right)+\left(3 \times(500)^2\right)+\left(4 \times(200)^2\right)}{\left(3 \times 10^3\right)+(3 \times 500)+(4 \times 200)} \\ & =737.7\end{aligned}$
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