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4.A group of materials scientists are designing a new material to be used in arterial bypasses. They are considering an elastomer that has a

 

4.A group of materials scientists are designing a new material to be used in arterial bypasses. They are considering an elastomer that has a molecular weight of 40,000 g/mol, a density of 2.3 g/cm, and 12 potential crosslinking sites. Ideally, they would like 100% of polymer chains present to be part of the network for any percentage of reacted crosslinks, p. (In other words, they don't want to implant a material that includes soluble polymer chains that might be able to diffuse away from the gel.) Plot the possible range of elastic moduli as a function of p. With this material, will it be possible to match the elastic modulus of a native artery at a temperature of 300 K,~0.6 MPa? If so, at what value of p does this occur?

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