$[$Question adapted from Davis, Chapter $14]$ Design a stripping column to reduce the tetrachloroethylene concentration in Carbon Hill's raw water supply from $56\mathrm{.}9\frac{g}{L}$ to $5\mathrm{.}0\frac{g}{L}.$ The following design criteria have been developed for this project: $(30$ points$)$

$Q=6,500\frac{m^3}{d}$

$A=1\mathrm{.}75m^2$

Temperature $=10C$

Packing $=90mm$ tripacks

$H=0\mathrm{.}364$

$K_{L}a=1\mathrm{.}3mi{n}^{-1}$

$\frac{P}{Z}=50P\frac{a}{m}$

${}_g=1\mathrm{.}2k\frac{g}{m^3}$

${}_w=1,000k\frac{g}{m^3}$

To complete the design, determine:

a$)\frac{Q_a}{Q}($multiply minimum air$-$to$-$water ratio by $3\mathrm{.}5)$

b$)Q_a$

c$)$ Stripping factor $($S$)$

d$)$ Number of transfer units $($NTU$)$

e$)$ Height of transfer unit $($HTU$)$

f$)$ Height of packing $($Z$)$