Question $1[60$ Pts$]$

A parallel plate interceptor $($PPI$)$ is used for treating $7000$ BPD of water containing $2000mg$ of oil per litter of water with a maximum oil droplet size of $500$ microns. The water viscosity and specific gravity are $1\mathrm{.}1cP$ and $0\mathrm{.}995$ respectively.

The spacing between plates is $0\mathrm{.}65$ inches while the angle between the plates and the horizontal line is $45.$ The specific gravity of oil is $0\mathrm{.}85.$

The effluent water stream contains an oil content of $800m\frac{g}{L}.$ Assume a linear behavior between oil concentration and oil droplet size.

Calculate the following:

A$)$ Oil droplet size at the effluent stream $[15$ pts$]$

B$)$ Area $($HW$)$ of the plate pack $[15$ pts$]$

C$)$ Actual Length of the plate pack $[15$ pts$]$

D$)$ Retention time $[15$ pts$]$