$2\mathrm{.}4$ Particle size analysis for a sample of solid material $)=(2\mathrm{.}0$ has produced the following data:

$\backslash$table$[[$Average Diameter $($mm$),5\mathrm{.}5,9\mathrm{.}0,14\mathrm{.}9,24\mathrm{.}6,67\mathrm{.}0],[$Mass $($g$),16\mathrm{.}0,13\mathrm{.}0,25\mathrm{.}0,30\mathrm{.}0,16\mathrm{.}0]]$

The particles are non$-$spherical with sphericity of $0\mathrm{.}81,$ independent of particle size. Calculate their settling velocities in a liquid of density $1200k\frac{g}{m^3}$ and viscosity $5\mathrm{.}0$mPa.$s,$ for the following initial total solids concentrations:

a$.1\mathrm{.}0$vol$\%(\frac{v}{v})$

b$.10\mathrm{.}0wt\%(\frac{w}{w})$

c$.,30\mathrm{.}0wt\%(\frac{w}{w})$