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The answer for A is not 55. The intrinsic viscosity of a macromolecular solution is given by []=Vh where is the shape factor and Vh

image text in transcribedimage text in transcribedimage text in transcribedThe answer for A is not 55.

The intrinsic viscosity of a macromolecular solution is given by []=Vh where is the shape factor and Vh is the volume per gram of the hydrated macromolecule. Here we explore he dependence of the intrinsic viscosity of DNA solutions on the shape of the DNA. Part A The gram specific volume of DNA is V2=0.510mLg1, and 1=1.5 grams water per gram DNA. A Watson-Crick base pair in DNA has a molar weight of about Mbp=0.660kgmol1. Calculate the number water water molecules that hydrate a DNA hexamer. A hydrated DNA hexamer is roughly spherical. Calculate the intrinsic viscosity of a solution of DNA hexamers. Give your answer in SI units. Assume V1=1.04mLg1 Part C The shape of a 200 base pair DNA can be approximated as an prolate ellipsoid of rotation of length L=2a=68.0nm where a is the major sem-iaxis length of teh ellipsoid b=1.22nm is the minor semi-axis length. The axial ratio is defined as P=ba. For a prolate ellipsoid of rotation the shape factor is given by =15(ln(2P)23)P2+5(ln(2P)21)P2+1514. Calculate the shape factor of a 200 base pair DNA. Calculate the intrinsic viscosityof a solution of DNA that is 100 base pairs in length. Assume again that the DNA can be treated as a prolate ellipsoid of rotation with half the length of the 200 base pair DNA but with the same minor semi-axis length. Assume the same specific volumes and hydration as in parts A and B

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