Problem $(1)$

A spherical particle in a settling tank has a diameter of $100$ micron and a specific gravity of $2\mathrm{.}3$ in water at $($:$0\mathrm{.}009c\frac{m^2}{sec}\}?.$ Calculate its terminal settling velocity $(V_S)$ in $c\frac{m}{sec}.$ Calculate the Brownian motion velocity $($VB$)$ in $c\frac{m}{sec}$ and compare between $V_S$ and $V_B$ and indicate if the particle will settle or undergo a Brownian motion, $),x=1cm,T=298K=1\mathrm{.}38{10}^{-16}gmc\frac{m^2}{se{c}^{2}K},1$ micron $={10}^{-6}m={10}^{-4}cm$