Soft matter physics
Find the self-diffusion time at room temperature in aqueous solution of a polymer with 100 Kuhn segments with each segment of length 100 nm. Assume that the polymer volume fraction is very low. Explain your reasoning.3. Redo problem 2 but assume that the polymer is in a melt. Explain your reasoning.5. (a) Surface charges in the electrostatic double layer around a charged colloidal particle of diameter 2a result in the particle having an effective diameter de which is larger than 2a. For particles separated by κD ≥ 2, where D = r – 2a and κ is the inverse of the Debye screening length, the potential energy W(r) of a system of two such particles is givenShow thatW(r) = α exp(-κr)/(κr). de = (1/κ) ln[α/ ln[α/…]].(b) We know that the effective volume fraction φe = φ(de/2a)3. For a hard sphere particle with de/2a = 1.5, what value of φ will result in maximum packing? Explain your reasoning carefully. Also, do NOT assume that the particles are ideal hard spheres.
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