Using Zimm time in the calculation of

intrinsic viscosity leads to:

$[]$~~$\frac{kT{N}_{Av}}{{}_s{M}_{0}N}{}_Z$~~$\frac{R^3{N}_{Av}}{M_{0}N}$

~~$\frac{b^3{N}_{Av}}{M_0}\{\begin{array}{cc}{N}^{\frac{1}{2}},& N\frac{b^6}{v^2}\end{array}$

i$)$ What is the temperature dependence of intrinsic viscosity of a$)$

short chains and b$)$ long chains?

ii$)$ Where does temperature enter this equation?

iii$)$ Develop a hypothetical scenario that reflects the following points

and draw a single graph of intrinsic viscosity versus molecular

weight:

$-$You have various molecular weights of poly$($methyl

methacrylate$)$ in a theta $($DMSO$)$ and a good solvent $($acetone$).$

$($You choose which Mws that you would like to put into the graph$)$

$-$The Mw of thermal blob is $40,000.$

$-$What is the excluded volume in DMSO?

$-$Imagine an intermediate solvent that is a better solvent than

DMSO but not as good as acetone. Will the excluded volume in

this solvent be larger or smaller than acetone? Compare $g_T$ of this

solvent to that of in acetone, clearly show your calculations.