Diusion of hydrogen sul®de and methyl mercaptan onto
microporous alkaline activated carbon
Hung-Lung Chiang
a,*, Jiun-Horng Tsai
b, Dai-Huang Chang
b, Fu-Teng Jeng
caDepartment of Environmental Engineering, Fooyin Institute of Technology, Kaoshiung Hsien, Taiwan, ROC bGraduate Institute of Environmental Engineering, National Cheng Kung University, Tainan, Taiwan, ROC
cGraduate Institute of Environmental Engineering, National Taiwan University, Taipei, Taiwan, ROC
Received 8 September 1999; accepted 17 November 1999
Abstract
Activated carbon kinetic studies show that both H2S and CH3SH yielded pore diusion coecients from 10ÿ6 to
10ÿ8cm2/s. Results indicated that pore structures could in¯uence eective diusivity. Under the same adsorbate
con-centration, CH3SH exhibited a greater eective pore diusion coecient than H2S. This may be attributed to the fact
that CH3SH has both polar (±SH) and non-polar (±CH3) functional groups and dissolves into water easier, thus
providing more attraction for the activated carbon surface. In addition, the saturation vapor pressure of CH3SH is
lower than that of H2S. Therefore, CH3SH is easier to adsorb onto activated carbon than H2S. Ó 2000 Elsevier Science
Ltd. All rights reserved.
Keywords: Diusivity; Hydrogen sul®de; Methyl mercaptan; Alkaline activated carbon
1. Introduction
Gaseous odors are emitted from various plants, such as sewage treatment plants and chemical industries (Vigneron et al., 1994). Odors from such plants are being treated by adsorption on activated carbon or impreg-nated activated carbon, scrubbing and neutralizing by chemical solution, condensation, mashing or catalytic combustion. Adsorption, however, is used most often to remove H2S and CH3SH from gas streams (Turk et al.,
1989; Koe and Tan, 1990). Therefore, several impreg-nated activated carbons have been developed for de-odorization (Tsutsui and Tanada, 1987; Ikeda et al., 1988; Tsai et al., 1992, 1999).
When removing adsorbate from air mixtures ¯owing into granular activated carbon, the following sequence
of reaction steps is possible (Jonas, 1978): mass transfer, surface diusion, intragranular diusion, physical ad-sorption, gas dead-sorption, chemical reaction and surface renewal. If the products of a chemical reaction are vol-atile and poorly adsorbed, they leave the macropore region and enter the ¯uid stream surrounding the carbon granule where they are swept away from the activated carbon by mass transport.
When Tien (1994) modi®ed the results of Jonas, he noted that diusion was the predominant mechanism in activated carbon sorption. Recent research on sorption by dry soil grains revealed that diusion processes govern the rate at which gas-phase species reach the intragranular soil surface. The structural similarity be-tween porous soil grains and activated carbon suggests similar mechanisms in both cases. Several related stud-ies support this conclusion (Garg and Ruthven, 1972; Ruthven and Derrah, 1972; Gray and Do, 1989a,b, 1990).
The purpose of this study was to investigate the physicochemical characteristics of ®ve activated
*Corresponding author. Tel.: 886-7-782-8663; fax:
+1-886-7-782-9117.
E-mail address: hlchang@cc.fy.edu.tw (H.-L. Chiang).
0045-6535/00/$ - see front matter Ó 2000 Elsevier Science Ltd. All rights reserved. PII: S 0 0 4 5 - 6 5 3 5 ( 9 9 ) 0 0 5 4 7 - 0
carbons. External diusion, macropore diusion, and micropore diusion of H2S and CH3SH on the ®ve
ac-tivated carbons were calculated. 2. Theory
Three solid surface adsorption mechanisms were in-vestigated: external diusion and internal diusion (macropore diusion and micropore diusion). These mechanisms aected the pore structural distribution of the adsorbent (Yang, 1987).
2.1. External diusion
External diusion is the gaseous reactant transfer from the bulk gas stream to the external surface of the solid particle. The mass ¯ux being transferred from the gas stream to solid surface is given by Noll et al. (1992). NAkfqape
p ÿ CC s; 1
where NAis the mass ¯ux of the transferred species from
gas stream to adsorbent surface, kf the external ®lm
mass transfer coecient, apthe external surface area of
adsorbent, e the voids between adsorbents, qp the bulk
density of adsorbent, C the concentration of the trans-ferred species in the bulk of gas stream, and Cs the
concentration of the transferred species at the adsorbent surface.
For packed bed adsorption, the external ®lm mass transfer coecient (kf) was correlated by the Ranz±
Marshall equation following Eq. (2) (Noll et al., 1992): Sh 2kDfrp
m 2:0 0:6 Re
0:5 Sc0:33; 2
where Dm is the molecular diusivity, rp the radius of
adsorbent, Re the Reynolds number Re 2rpVsqf=l,
Sc the Schmidt number Sc l= Dmqf, Sh the
Sher-wood number Sh 2kfrp=Dm; l the viscosity of gas
stream, Vs the velocity of gas stream, and qf is the
density of gas stream. 2.2. Internal diusion 2.2.1. Macropore diusion
The importance of heterogeneous catalysis in mac-ropore diusion has been a popular research subject. There are four kinds of macropore diusion: (1) mo-lecular diusion, (2) Knudsen diusion, (3) Poiseuille ¯ow diusion, and (4) surface diusion. The diusion mechanisms have been shown to aect adsorbent pore structure distribution (Ruthven, 1984).
The mathematical relationships for each macropore diusion are shown below:
(1) Molecular diusion:
DpDsm; 3
where Dp is the pore diusivity, Dm the molecular
dif-fusivity and s is the tortousity factor.
Fuller et al. derived the molecular diusivity (Dm) of
a two-component system as follows (Bird et al., 1960; Sherwood et al., 1975; Hines and Maddox, 1985; Szekely et al., 1976): Dm 1:0 10 ÿ3 T1:75 P Pt1=3 A P t 1=3 B h i2 1 MA M1 B 1=2 ; 4 where P is the pressure of gas stream, T the absolute temperature, PtAand
P
tB are the molecular
vol-umes of gases A and B, and MA and MB are the gas
molecular weights of A and B. Generally, the mean free path of molecules is smaller than the pore diameter of the adsorbent. The transport mechanism is therefore molecular diusion.
(2) Knudsen diusion: Knudsen showed that under these conditions the diusivity per unit cross-sectional area of pore is given by
Dk23rmÿ 9700rp T M r 5 where Dk, rp, m , T and M are Knudsen diusivity, pore
radius, mean molecular velocity, absolute temperature and molecular weight, respectively.
(3) Surface diusion: The overall diusion coecient is shown as:
D Dk 1 ÿ ee p p
KDs; 6
where D is the overall diusivity, Dk the Knudsen
dif-fusivity, ep the adsorbent porosity, K the equilibrium
constant, and Dsis the surface diusivity.
2.2.2. Micropore diusion
According to FickÕs law, one has
N ÿDoCor; 7
where N is the mass ¯ux of transferred species, D the eective diusivity of transferred species, C the con-centration of transferred species, and r is the distance normal to the external surface.
The micropore diusion is derived as follows (Noll et al., 1992): oq ot 1 r2 o or r2Dc oq or : 8
Assuming Dc is constant, Eq. (8) can be derived as Eq. (9). oq ot Dc o 2q or2 2roqor : 9
The initial and boundary condition are shown as fol-lows: q r; 0 q0; q rc; t q0; oqor r0 0; then q ÿ q0 q0ÿ q0 Mt M1 1 ÿ 6 p2 X1 n1 1 n2exp ÿn2pr22Dct c 10 and q 3 r3 c Z rc 0 q r 2dr; 11
where q is the amount adsorbed (per unit volume of sorbent), q the average amount adsorbed in a pellet or particle, M1 the total mass uptake at a gas-phase
con-centration of C0and Mhis the cumulative mass uptake at
dimensionless time h. 3. Experimental
This research selected spent activated carbon (SAC), regenerative activated carbon (RAC), fresh activated carbon (FAC), impregnated-regenerative activated car-bon (RAC-N), and impregnated-fresh activated carcar-bon (FAC-N) as the experimental adsorbents. The activated carbons were made from coconut shell.
3.1. Regeneration of spent activated carbon
50 g of SAC (Chinese Carbon, Taiwan) was placed into a vacuum oven (10ÿ1±10ÿ2 mmHg) at room
tem-perature, under nitrogen (99.95%), for 2 h. Next, 10 g of the pretreated SAC was put into an oven at 400°C for 1.5 h. The high purity nitrogen gas was used to cool the oven. The regenerative-spent activated carbon was stored in gas-sealed vials until experimentation. 3.2. Preparation of impregnated activated carbons
50 g of activated carbon (RAC or FAC) was placed into an oven and dried with ¯owing nitrogen gas (140°C) for 6 h. The pretreated activated carbons were immersed in 500 mlÿ1 N NaOH solution (Merck, Germany) and
stirred for 30 min. The immersed activated carbons were kept in a vacuum oven for 30 min and in a dryer (glass container with silica gel) for 200 min (stationary times)
at room temperature. The immersed activated carbons were then ®ltered from the impregnation solutions and dried in an oven at 130°C for 60 h. The prepared alka-line activated carbons were stored in gas tight, nitrogen gas-®lled containers before use.
3.3. Physical characteristics
The activated carbons were stored in an oven at 105°C and dried for 48 h. The physical characteristics of the activated carbon, including speci®c surface area, micropore area, total pore volume, micropore volume and pore diameter were measured with N2 g adsorption
using an ASAP 2000 Micropore Analyzer (Micromeri-trics, USA) at 77 K using liquid N2.
3.4. Amount of alkaline on activated carbon
The quantity of alkaline or NaOH on each activated carbon was determined by extraction and titration processes. The impregnated activated carbons were placed in a vacuum oven (1±10ÿ1mm Hg, 105°C) for 24
h. HCl solution (1 N) was then added, and the mixture stored at 25°C for 24 h. To separate the supernatant, the sample was centrifuged at 3000 rpm for ten min. The supernatant was then titrated with 1 N NaOH solution until pH 7.
3.5. Sorption experiment
A simulated blend of cylinder gases was passed through a glass column 20 cm in length and 28 mm in diameter. The bottom of the adsorption column was packed with a layer of 10-cm glass beads. 5±10 g of activated carbon (radius 0.5 mm) was packed in the column for each run. Cylinder gases of H2S (8000 ppm)
and CH3SH (99.9%) were certi®ed by suppliers (Scott
Gas Company, USA). The in¯uent concentrations of H2S and CH3SH ranged from 30±200 ppmv in the
ad-sorption system. The ¯ow rate, which ranged from 2.0± 10 l/min, was controlled by a mass ¯ow meter (Sierra Series 9000, USA).
H2S and CH3SH stream constituents were analyzed
by a Gas Chromatograph (HP-6890) equipped with a Pulsed Flame Photometric Detector (PFPD) and chro-matographic column (G.S.Q.: 30 m, B: 0.53 mm). Temperature of injector, column, and detector were 180, 150, and 220°C, respectively. Retention times of H2S
and CH3SH were 4.1 and 5.93 min, respectively. The
adsorption capacities of H2S and CH3SH on each
acti-vated carbon in the gas stream were analyzed by the GC/ PFPD and calculated by column adsorption kinetic curves. Quality control was also conducted to ensure experimental data performance.
4. Results and discussion
4.1. Physico±chemical characteristics of activated carbons Physico±chemical characteristics of the ®ve activated carbons are shown as Table 1. The sequence of BET surface area, micropore area, pore volume and micro-pore volume were as follows: FAC > FAC-N > RAC > RAC-N > SAC. The pore diameter distribution was SAC > RAC > RAC-N > FAC FAC-N. The amount of alkaline equivalent on the activated carbons was FAC-N > RAC-N > FAC > RAC > SAC. Results indi-cated that SAC was the least eective adsorbent of the ®ve activated carbons. NaOH impregnation changed their physicochemical characteristics.
4.2. External diusion
At 298 K, the viscosity of air, H2S, CH3SH, air-H2S
gas mixture and air-CH3SH gas mixture are 184.6,
126.5, 95.8, 170.5 and 143.5 lP, respectively. The Rey-nolds number, Schmidt number and Sherwood number were 16.1, 1.1, and 8.0 for the H2S-air mixture system,
and 12.0, 2.0 and 8.1 for the CH3SH-air mixture system.
The external ®lm mass transfer H2S and CH3SH
coef-®cients were 14.8 and 11.2 cm/s, respectively. 4.3. Macropore diusion
The diusion of adsorbates in macropore-molecular diusion, surface diusion, and Knudsen diusion, were considered the diusion mechanisms. Results of the H2S
and CH3SH macropore diusivity into the ®ve activated
carbons (SAC, FAC, RAC, RAC-N, and FAC-N) are shown in Table 2.
4.3.1. Molecular diusion
According to Eq. (4), molecular diusivity aects the temperature, pressure, molecular weight and adsorbate characteristics. In this research, the molecular diusivity of the Air-H2S and Air-CH3SH systems were 0.185 and
0.138 cm2/s, respectively. The molecular weight and
volume of H2S is smaller than CH3SH, so the molecular
diusivity of H2S was greater than CH3SH.
4.3.2. Knudsen diusion
When the mean free path of the adsorbate is greater than the pore diameter of the activated carbon, the collision of molecules and the pore wall can inhibit molecule transport. The Knudsen diusivity is a func-tion of the pore radius, temperature and molecular weight (Eq. (5)). Analysis indicated that the Knudsen diusivity of H2S was between 4:33 10ÿ3 and
5:04 10ÿ3 cm2/s and that of CH
3SH was between
3:51 10ÿ3 and 4:24 10ÿ3 cm2/s. The Knudsen
diu-sivity was directly proportional to the pore radius under identical adsorbate and adsorption temperature condi-tions. Since CH3SH molecular weight is greater than
H2S, the Knudsen diusivity of H2S was greater than
CH3SH in an adsorption system.
4.3.3. Diusion of transient region
The diusivity of the transient region can be calcu-lated as
Table 1
Physico±chemical characteristics of activated carbons
Adsorbents BET surface
area (m2/g) Microporearea (m2/g) Pore volume(cm3/g) Microporevolume (cm3/g) Porediameter (A) Alkalineequivalent (meq/g)
SAC 285 186 0.170 0.088 17.6 0.75 RAC 794 610 0.429 0.282 16.1 1.75 FAC 1282 864 0.623 0.394 14.6 1.88 RAC-N 664 505 0.338 0.238 15.1 2.63 FAC-N 1188 789 0.581 0.335 14.5 3.13 Table 2
Macropore diusion of H2S and CH3SH on activated carbons
Adsorbents H2S (cm2/s) CH3SH (cm2/s) Dk 103 D 103 Dk 103 D 103 SAC 4.33 4.23 3.64 3.55 RAC 4.63 4.52 3.90 3.79 FAC 4.19 4.09 3.52 3.44 RAC-N 5.04 4.91 4.24 4.11 FAC-N 4.18 4.08 3.51 3.43
1 D 1 Dk 1 Dm 1 ÿ 1 NNB A XA ; 13
where D is diusivity of the transient region, NAand NB
are the molecular transport ¯ux of A and B, and XAis the
molar fraction of A. Assuming the molecular transport ¯ux of A is equal to that of B NA NB, the equation
simpli®es to 1 D 1 Dk 1 Dm: 14
The diusivity of H2S was between 4:08 10ÿ3 and
4:91 10ÿ3 cm2/s and that of CH
3SH was between
3:43 10ÿ3and 4:11 10ÿ3cm2/s in the transient region.
4.4. Micropore diusion
Governing model equations with similar boundary and initial conditions have been solved by several in-vestigators. In this research, a numeric method and Fortran least squares program were used to solve the governing equation.
The adsorption diusivity of H2S and CH3SH on the
®ve activated carbons are shown as Table 3.
4.4.1. Eective diusivity of H2S adsorbed on activated
carbon
The eective diusivity of H2S that was adsorbed on
activated carbon was between 2:1 10ÿ8 and
6:49 10ÿ6 cm2/s. When the in¯uent concentration of
H2S was increased from 50 to 100 ppmv, the eective
diusivity increased: SAC from 5:35 10ÿ6 to
6:49 10ÿ6cm2/s, RAC from 1:02 10ÿ7to 1:19 10ÿ7
cm2/s, FAC from 7:3 10ÿ8to 8:8 10ÿ8cm2/s,
RAC-N from 2:1 10ÿ8to 2:7 10ÿ8cm2/s, and FAC-N from
2:1 10ÿ8 to 4:0 10ÿ8cm2/s.
4.4.2. Eective diusivity of CH3SH adsorbed on
activat-ed carbon
When the in¯uent concentration of CH3SH was
creased from 50 to 100 ppm, the eective diusivity in-creased: SAC from 5:02 10ÿ6 to 5:78 10ÿ6 cm2/s,
RAC from 1:36 10ÿ7to 1:42 10ÿ7cm2/s, FAC from
3:21 10ÿ7 to 3:95 10ÿ7 cm2/s, RAC-N from
7:2 10ÿ8 to 8:7 10ÿ8 cm2/s, and FAC-N from
1:03 10ÿ7to 1:27 10ÿ7cm2/s.
Results indicated that the larger the pore diameter, the larger the eective diusivity and the higher the in-¯uent concentration, the higher the eective diusivity.
The eective diusivity of H2S and CH3SH on
RAC-N from 30 to 200 ppmv is shown as Fig. 1.
When the in¯uent concentration of H2S was
in-creased from 30 to 200 ppmv, the eective diusivity of H2S adsorbed on RAC-N increased from 1:63 10ÿ8to
3:89 10ÿ8 cm2/s. When the in¯uent concentration of
CH3SH was increased from 30 to 200 ppmv, the eective
diusivity of CH3SH adsorbed on RAC-N ranged from
5:31 10ÿ8to 1:03 10ÿ7cm2/s.
Given the same in¯uent concentrations of H2S and
CH3SH, the eective diusivity of CH3SH was greater
than that of H2S. This can be attributed to methyl
mercaptan having both a polar functional group (S±H) and a non-polar functional group (C±H). Methyl mer-captan tends to be adsorbed more easily on activated carbon than H2S. Additionally, a high concentration of
adsorbate in the micropores of the activated carbon may increase the van der WaalÕs force (due to condensation). The saturation vapor pressure is 19.807 atm for H2S and
Table 3
Eective diusivity of H2S and CH3SH on activated carbons
Adsorbents H2S (cm2/s) CH3SH (cm2/s) 50 ppmv 100 ppmv 50 ppmv 100 ppmv SAC 5:35 10ÿ6 0:96a 6:49 10ÿ6 0:97 5:02 10ÿ6 0:90 5:78 10ÿ6 0:91 RAC 1:02 10ÿ7 0:91 1:19 10ÿ7 0:99 1:36 10ÿ7 0:92 1:42 10ÿ7 0:90 FAC 2:1 10ÿ8 0:92 8:8 10ÿ8 0:97 3:21 10ÿ7 0:92 3:95 10ÿ7 0:92 RAC-N 2:7 10ÿ8 0:89 2:7 10ÿ8 0:94 7:20 10ÿ8 0:91 8:7 10ÿ8 0:92 FAC-N 2:1 10ÿ8 0:92 4:0 10ÿ8 0:94 1:03 10ÿ7 0:92 1:27 10ÿ8 0:91
aRegression coecient of adsorption curve (experiments) and ®tting curve (diusion model).
Fig. 1. Eective diusivity of H2S and CH3SH onto RAC-N.
is 1.943 atm for CH3SH at 25°C (Reid et al., 1988).
These values indicate that the CH3SH is more easily
condensed in the micropores of activated carbon. Therefore, the eective diusivity of CH3SH is larger
than that of H2S.
5. Conclusions
In¯uent concentrations of H2S and CH3SH were 30
to 200 ppmv, the eective diusion coecients were 10-8
to 10-6 cm2/s. CH
3SH exhibited an eective pore
diu-sion coecient greater than that of H2S at the same
adsorbate concentration. This may be attributed to the fact that CH3SH has both polar (±SH) and non-polar
(±CH3) functional groups with a strong anity toward
the activated carbon surface. Furthermore, the satura-tion vapor pressure of CH3SH (1.943 atm) is lower than
that of H2S (19.807 atm) at 298 K. This indicates that
CH3SH is easier to condense in micropore carbon than
H2S. Results indicate that in¯uent concentration and
pore structure can aect the eective diusivity. Acknowledgements
The authors express their sincere thanks to the National Science Council, Taiwan, ROC for its support (NSC 87-2211-E-006-004 and NSC-88-2211-E-006-009) of this study.
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