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where
P
T
= Total contacting power (total pressure loss) (kWh/100 m
3
, hp/1000 acfm).
P
G
= Power input from gas stream (kWh/100 m
3
, hp/1000 acfm).
P
L
= Contacting power from liquid injection (kWh/100 m
3
, hp/1000 acfm).
Note:
The total pressure loss (
P
T
) should not be confused with penetration (
P
t
).
The power expended in moving the gas through the system (
P
G
) is expressed in terms of the scrub-
ber pressure drop:
P
G
= (2.724 × 10
-4
)∆
p
(k/Wh/1000 m
3
)
(18.17a)
or
P
G
= 0.1575∆
p
(hp/1000 acfm)
(18.17b)
where ∆
p
is the pressure drop (kPa, in. H
2
O).
The power expended in the liquid stream (
P
L
) is expressed as
P
L
= 0.28
p
L
(
Q
L
/
Q
G
) (kWh/1000 m
3
)
(18.18a)
or
P
L
= 0.583
p
L
(
Q
L
/
Q
G
) (hp/1000 acfm)
(18.18b)
where
p
L
= Liquid inlet pressure (100 kPa, lb/in
2
).
Q
L
= Liquid feed rate (m
3
/h, gal/min).
Q
G
= Gas flow rate (m
3
/h, ft
3
/min).
The constants given in the expressions for
P
G
and
P
L
incorporate conversion factors to put the terms
on a consistent basis. The total power can therefore be expressed as
P
T
=
P
G
+
P
L
= (2.724 × 10
-4
)∆
p
+ 0.28
p
L
(
Q
L
/
Q
G
) (kWh/1000 m
3
)
(18.19a)
or
P
T
= 0.1575∆
p
+ 0.583
p
L
(
Q
L
/
Q
G
) (hp/1000 acfm)
(18.19b)
Correlate this with scrubber efficiency using the following equations:
η = 1 - exp[-
f
(
system
)]
(18.20)
where
f
(
system
) is defined as
f
(
system
) =
N
t
= α(
P
T
)
β
(18.21)
where
N
t
= Number of transfer units.
P
T
= Total contacting power.
α and β = Empirical constants determined from experimentation that depend on characteris-
tics of the particles.
The efficiency then becomes
η = 1 - exp[-α(
P
T
)
β
]
(18.22)
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