(1.3 points TOTAL) Consider the Maxwell model for viscoelast…
(1.3 points TOTAL) Consider the Maxwell model for viscoelastic behavior (see diagram below). Provide the following information for this model: (0.3pts) Provide the governing equation for total stress in the system in relation to the components of the model. (0.3pts) Provide the governing equation for total strain in the system in relation to the components of the model. (0.3pts) Provide the final differential equation to describe the total strain in the system in relation to total stress. (0.2pt) Which does the Maxwell model best represent: creep or stress relaxation? (0.2pt) In general, how could the Voight and Maxwell models be improved?
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(1.25pts) A new polymer company is charged with producing monodispersed batches of polymers. You lead the quality control group and have to make some decisions regarding the each batch. The most recent quality results are found below. (0.75pts) Characterization of the polymer via gel permeation chromatography demonstrated three distinct fractions within the synthesized batch. Calculate the number average molecular weight and weight average molecular weight of the polymer sample. Fraction Molecular Weight (Da) Number of Chains A 5,000 50 B 1,500 2,500 C 18,000 10 (0.5pts) To pass quality control regulations, the polydispersity index must be less than 1.2. Determine whether or not this batch passes the company standards. Explain what factors from the polymer sample may have contributed to the passing or failing grade.
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