Question
Consider a solution of protein molecules in a tube of water that rotates in a centrifuge with angular velocity . Let r be the radial
Consider a solution of protein molecules in a tube of water that rotates in a centrifuge with angular velocity . Let r be the radial coordinate in the centrifuge. The tube lies parallel to r so that centrifugal effects force the molecules to drift towards larger r at rates that depend on their effective mass.
(a) For the rotating system deduce an expression for vdrift for the rotating system in terms of known or experimentally measurable quantities.
(b) Generalize Fick's Law (j = -D dc/dx ) by adding a term to the particle current to include the effect of the rotation-induced drift. Simplify using the Einstein relation.
(c) Write the solution of the above (Nernst-Planck ) equation for the equilibrium case where the particle current is zero.
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