A liquid$$liquid mixture containing $6$ kg$/$s of oil with $0\mathrm{.}5$ kg$/$s of water is to be separated in a decanter.

Densities of water and oil are $995$ and $880$ kg$/$m$3$

respectively. Viscosity values of water and oil are

$0\mathrm{.}8\backslash$times $103$ and $3\mathrm{.}5\backslash$times $103$ kg$/$m$$s respectively. Assuming the oil to be the continuous phase, the decanter

to be a horizontal drum with a length to diameter ratio of $2\mathrm{.}5$ to $1$ and an interface across the center of

the drum, estimate the dimensions of the decanter to separate water droplets less than $150\backslash$mu m$.$