Does polymer viscosity increase with degree of polymerisation and molecular weight?

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CrimpJiggler
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In college we measured the viscosity of microcrystalline cellulose and used the result to determine its degree of polymerisation. Is the viscosity of a polymer directly proportional to its degree of polymerisation or something? In other words the bigger the polymer, the more viscous it is? Does this apply to non polymers too? For example is isopropanol more viscous than ethanol simply because it has a greater molecular weight?
 
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