$(10$ points$)$: Some naturally occurring bio$-$polymers, such as

membraneless organelles in cells, demonstrate viscoelastic

behavior. These polymers can be synthesized to have different

chain lengths. Based on the data in the table below:

a$.$ is the relaxation time of this bio$-$polymer sensitive to chain

length? Show calculations using the data below to justify your

answer and explain any assumptions. $($Big hint: If you use an

equation we discussed in class to calculate the activation energy

of viscoelastic relaxation, use $C=10,000k\frac{J}{m}ol)$

b$.$ would you expect to observe a relationship between polymer

chain length and relaxation time? Explain why or why not.