A silica sphere of radius is dispersed in a glycerol-water mixture of viscosity at

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Soft condensed matter · Soft condensed matter

Soft Matter at the Thermal Scale, Ch Brownian particles, sedimentation and the hard-sphere fluid

Problem

A silica sphere of radius a=100 nma = 100\,\mathrm{nm} is dispersed in a glycerol-water mixture of viscosity η=5.0 mPa s\eta = 5.0\,\mathrm{mPa\,s} at 298 K298\,\mathrm{K}, with kBT=4.11×10−21 Jk_BT = 4.11\times10^{-21}\,\mathrm{J}. ((a)) Find D0D_0. ((b)) Find τB\tau_{\rm B}.

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