$\backslash$table$[[$Course: Che$422,$Tripoli University$],[$Homework No$.3,$Faculty of Engineering$],[,$Chemical Engineering Department$],[$Date: Fall $2023,$Subject: Packed Column Height $-$ Minimum Liquid Rate$]]$

Good Luck

Dr$.$ Mohamed Ali El$-$Behlil

Calculating Packed Column Height $-$ Minimum Liquid Rate Sulfur dioxide is to be recovered from an air$-S{O}_2$ mixture by contacting the gas mixture with pure water in a packed tower. The tower will be operated at $30C$ and $1$atm $($abs$).$ The entering gas contains $5\%$ mole $S{O}_2$ and the exiting gas is to contain no more than $0\mathrm{.}5\%mol{e}_2.$ Since the concentration of $S{O}_2$ in water is small, the system can be considered as dilute system. The total gas flow rate entering the tower is $100kg$ mole $\frac{?}{m2.hr}.$ The molecular weights of $S{O}_2$ and $H_{2}O$ are $64$ and $18$ respectively. If the overall mass transfer coefficient for the vapors phase is $.$ mole fraction$),$ determine:

a$)$ the minimum pure water rate $($in $kg-$mole $\frac{?}{m2}.$hr$)$ needed for this separation,

b$)$ the height of the tower $($in $m)$ required if the actual water rate entering the tower is $1\mathrm{.}2$ times the minimum value.

The equilibrium data for $S{O}_2-$water system at $30C$ and $1$atm$(\frac{?}{abs})$ are given below:

$\backslash$table$[[\backslash$table$[[$Mass $S{O}_2$ per$],[100$ mass $H_{2}O$