Consider a $1m$ diameter silica particle in water. Plot the distance

traveled by sedimentation as a function of time and the distance

traveled by Brownian motion as a function of time. Make your plot on the

same graph. Assume Temp $=25C.($b$)$ Repeat for particles $10m$ and $0\mathrm{.}1$

$m$ in diameter. $($c$)$ Comment on the effect of particle size on the relative

influence of gravity and Brownian motion.

$[$Assumptions: water viscosity $=0\mathrm{.}8904$mPa$*s,$ water density $=0\mathrm{.}997$g$/$cm$^3$

$=997$kg$/$m$^3($data from CRC Handbook of Chemistry and Physics$)$; density

of silica $=2\mathrm{.}32\frac{g}{c}{m}^3=2320kg/$m$^3$cristobalite phase, CRC$).$ Also: $J=$

$N*m$ and $Pa=\frac{N}{m}2.$