Problem $1(50$pts$)$

A vertical countercurrent spray chamber has a $4-$m contact zone and operates with a liquid$-$to$-$

gas ratio of $1\frac{L}{m^3}$ and an average droplet diameter of $700m.$ During a test run, the following

data were taken on the unit:

Average scrubber temperature $100F$

Particle density $1\mathrm{.}2\frac{g}{c}{m}^3$

Gas velocity $0\mathrm{.}5\frac{m}{s}$

Inlet loading $1\mathrm{.}5g\frac{r}{f}{t}^3$

The following particle size distribution was obtained from a cascade impactor.

a$)$ Estimate the overall efficiency of the unit $(20$pts$)$ and the efficiency for the $10m$ diameter

particles $(10$pts$),$ assuming $20\%$ spray utilization.

b$)$ What will be the particle loading exiting the scrubber? $(10$pts$)$

c$)$ What is the necessary liquid$-$to$-$gas ratio to achieve $95\%$ overall efficiency? $(5$pts$)$

d$)$ What will be the particle loading exiting the scrubber then $($at $95\%$ efficiency$)?(5$pts$)$ please answer all parts to the question