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Calculate the value of ( y 1 - mx 1 )/( y 2 - mx 2 ), where
y 1 = Inlet gas mole fraction.
m = Henry's law constant.
x 1 = Outlet liquid mole fraction.
y 2 = Outlet gas mole fraction.
x 2 = Inlet liquid mole fraction.
( y 1 - mx 1 )/( y 2 - mx 2 ) = [0.02 - (0.972)(0)]/[0.001 - (0.972)(0)] = 20.0
Determine the value of N OG and use the values of ( y 1 - mx 2 )/( y 2 - mx 2 ) and mG m / L m to find the value
of N OG :
N OG = 4.3
What is the height of an overall gas transfer unit H OG ? The height of an overall gas transfer unit
H OG is also used in calculating packing height requirements. H OG values in air pollution are almost
always based on experience. H OG is a strong function of the solvent viscosity and difficulty of sepa-
ration, increasing with increasing values of both. Calculate the gas mass velocity ( G ) in lb/ft 2 -hr:
G = pQ / S
where
G = Gas mass velocity (lb/ft 2 -hr).
p = Density of air.
S = Cross-sectional area of the tower.
G = pQ / S = (1575 × 0.0743)/10.0 = 11.7 lb/ft 2 -min = 702 lb/ft 2 -hr
The H OG value is 2.2 ft.
What is the required packed column height ( Z ) in ft?
Z = ( N OG )( H OG )
where
Z = Height of packing.
H OG = Height of an overall gas transfer unit.
N OG = Number of transfer units.
Z = N OG × H OG = 4.3 × 2.2 = 9.46 ft
Compare the packed column height of 8 ft specified by Pollution Unlimited, Inc., to the height cal-
culated above. What is our recommendation? Disapproval, because the calculated height (9.46 ft) is
higher than that (8 ft) proposed by the company.
18.4.4 p aCKed C olumn h eight and d iameter C alCulations
EXAMPLE 18.10
Problem: A packed column is designed to absorb ammonia from a gas stream. Given the operating
conditions and type of packing below (see Figure 18.2), calculate the height of packing and column
diameter (USEPA, 1984b, p. 106).
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