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Kinetic study of hydrogen sulfide absorption in aqueous
chlorine solution
Jean-Baptiste Vilmain, Valerie Courousse, Pierre-Francois Biard, Mohamed
Azizi, Annabelle Couvert
To cite this version:
Jean-Baptiste Vilmain, Valerie Courousse, Pierre-Francois Biard, Mohamed Azizi, AnnabelleCouvert. Kinetic study of hydrogen sulfide absorption in aqueous chlorine solu-tion. Chemical Engineering Research and Design, Elsevier, 2014, 92 (2), pp.191-204..
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Kinetic study of hydrogen sulfide
absorption in aqueous chlorine solution
Jean-Baptiste VILMAINa,c
, Valrie COUROUSSEa,c
, Pierre-Franis BIAR!a,",c#
, M$a%e& A'I'Ia,c
,
Anna"elle COUVER(a,c
aEcle Natinale S)prie)re &e C$i%ie &e Rennes, CNRS, UMR *++*, Alle &e Bea)lie), CS ./01,
01./ Rennes Ce&e2 1, France
"Uni3ersit &e Rennes , CNRS, UMR *++*, 0 r)e &) Cls-C)rtel, BP 4.500, 01.5 Rennes Ce&e2 1,
France
cUni3ersit e)rpenne &e Breta6ne, ")le3ar& La7nnec, 0... Rennes, France
Graphical abstract
#Crrespn&in6 a)t$r8 Pierre-Franis BIAR! 9 (el8 :00 + +0 +0 / 1
E%ail-a&&ress8 pierre-;rancis
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Ab st ract
@&r6en s)l;i&e @+S is c)rrentl re%3e& ;r% 6ase)s e;;l)ents " c$e%ical scr)""in6 )sin6
Dater< C$lrine is a tp-6ra&e 2i&ant, reactin6 Dit$ @+S Dit$ a ;ast inetic rate an& en$ancin6 its
%ass trans;er rate< ( &esi6n, pti%ie an& scale-)p scr)""ers, nDle&6e ; t$e reactin inetics
an& %ec$anis% is re>)este&< ($is st)& in3esti6ates t$e @+S 2i&atin rate " reacti3e a"srptin in
a %ec$anicall a6itate& 6as-li>)i& reactr< Mass trans;er 6as an& li>)i& si&es %ass trans;er
ce;;icients an& $&r&na%ic inter;acial area per;r%ances ; t$e 6as-li>)i& reactr Dere
%eas)re& )sin6 apprpriate& p$sical r c$e%ical a"srptin %et$&s< ($e acc)rac ; t$ese
para%eters Das c$ece& " %&elin6 t$e @+S a"srptin in Dater Dit$)t 2i&ant< A sensiti3it
analsis cn;ir%e& t$e r")stness ; t$e %&el< Finall, reacti3e a"srptin ; @+S in c$lrine
sl)tin ;r aci&ic r circ)%ne)tral p@ allDe& t in3esti6ate t$e inetics ; reactin< ($e 3erall
2i&atin %ec$anis% c)l& "e &escri"e& ass)%in6 t$at @+S is 2i&ie& irre3ersi"l " "t$
$pc$lrite anin ClO- G *
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1
Introduction
@&r6en s)l;i&e @+S is a %ar t2ic c%p)n& in3l3e& in &r e%issins ; %an in&)stries s)c$
as Daste Dater treat%ent, p)lp in&)str, etc< ?stelD et al)e)s 2i&ant sl)tins at
"asic p@ are ;ten )se& Biar& et al)i& is )st &raine& D$en t$e salt acc)%)latin &)e t @+S 2i&atin int
s)l;ate anins "ec%es t $i6$)i& cntactr c$aracteriatin an& t$e inetic
cnstant &eter%inatin
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2
Mass transfer modeling
?as-li>)i& %ass trans;er can "e &escri"e& accr&in6 t 3ari)s t$eries< Us)all, t$e &)"le ;il%
t$er e2plicati3e sc$e%e in t$e s)pple%entar %aterial is applie& in stea& state $it%an,
4+0< ($e %lar ;l)2 trans;erre& ; an species A &J in %l %-+s- per s>)are %eter ; 6as-li>)i&
area can "e Dritten Perr an& ?reen, 4418
( ) ( )#& EqL A A L A AJ Ek C C K C C= = Eq. 5
E is t$e s-calle& en$ance%ent ;actr n )nit D$ic$ is t$e rati ; t$e a"srptin rate Dit$ an&
Dit$)t t$e reactin ;r an i&entical &i;;erence#
-A AC C < Ot$er &e;initins ; t$e en$ance%ent ;actr
can "e ;)n& in t$e literat)re< @De3er, t$is ne re%ains t$e %st enc)ntere&< CA,#,
Eq
A AC C are t$e
sl)te cncentratin respecti3el in t$e ")l %l %-0
, at t$e 6as-li>)i& inter;ace s)perscript # an&
in e>)ili"ri)% s)perscript E> Dit$ t$e 6as p$ase cncentratin G
AC &e&)ce& ;r% t$e @enrs laD8
G
Eq A A
A
A A
p R T CC
H H
= =
Eq. 6
pA is t$e partial press)re Pa, HA t$e @enrs laD cnstant Pa %0 %l
-< kL an& KL E>< 5 are
respecti3el t$e lcal an& 3erall li>)i& si&e %ass trans;er ce;;icients % s-
D$ic$ are line&
t6et$er t$r)6$ t$e ;llDin6 relatin8
L L A G
RT
K Ek H k = +
Eq. 7
kGis t$e lcal 6as si&e %ass trans;er ce;;icient< kLan& kGr&er ; %a6nit)&e are respecti3el .)i&-p$ase relati3e
%ass trans;er resistance RL, D$ic$ represents t$e rati ; t$e resistance lcate& in t$e li>)i& p$ase
&i3i&e& " t$e ttal resistance, is calc)late& " t$e ;llDin6 e>)atin @;;%ann et al
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)p Lee an& Pan6 (s)i, 444< At a %&erate i%peller spee&, t$e pDer inp)t is nt s);;icient t
&isperse t$e 6as in t$e part ; t$e reactr lcate& "elD t$e spar6er< In t$is case, t$e e2tent ; "ac-
%i2in6 is lD an& t$e ;lD can "e cnsi&ere& as a pl)6 ;lD< ($e rle ; t$e a6itatin is t "rea
")""les t %aintain a $i6$ inter;acial area< Ass)%in6 a pl)6 ;lD ;r t$e 6as an& a per;ectl %i2e&
li>)i&, t$e a"srptin rate Nin %l s-
can "e calc)late& " t$e ;llDin6 e>)atin8
( ) ( ) ( ), ,
,
,
ln
Eq Eq
A i A A o AEq
L A A L Eq
A i A
Eq
A o A
C C C C N K a V C C K a V
C C
C C
= =
Eq. 9
S)"scripts i an& re;er t t$e reactr inlet an& )tlet< a is t$e 6as-li>)i& inter;acial area %+%
-0
relati3e t t$e e;;ecti3e 3l)%e V< ($e %ass "alance ena"les t Drite8
( ), ,G G
G A i A oN Q C C =
Eq. 10
QGis t$e 6as 3l)%e ;lD rates %0s
-< Fr% E>s< *-.8
,
,
ln
G
A i
A
A
LG
A o A G A G
AL A GA
RTCC
H VRT a VRT K a
RTRTC H Q H QC
Ek H k H
= =
+
Eq. 11
$en t$e reactin rate is si6ni;icantl lar6er t$an t$e %ass trans;er rate, t$e sl)te is entirel
cns)%e& in t$e li>)i& ;il% an& CAten&s tDar& .< In t$e t$er cases, CA&epen&s n t$e li>)i& $l&-
)p, li>)i& resi&ence ti%e an& n t$e inetic an& %ass trans;er rates Lee an& Pan6 (s)i, 444< E2cept
;r tD li%it cases slD an& instantane)s reactins in t$e li>)i& ;il%, E&epen&s n t$e reactin
inetics< ($ere;re, its &eter%inatin in cntrlle& an& apprpriate& peratin6 cn&itins c)l&
ena"le inetics &eter%inatin< kLan& kGare %ainl in;l)ence& " t$e prperties an& $&r&na%ics
; respecti3el t$e li>)i& an& t$e 6as p$ases< ($e inter;acial area &epen&s n t$e 6as $l&-)p an&
")""les sie, D$ic$ are &eter%ine& " t$e ;lD ;iel&, t$e 6as ;lD-rate, t$e pDer inp)t an& t$e 6as
&ispersin c$aracteristic ; t$e i%peller RESI, +.0< E2cept t$e 6as si&e %ass trans;er ce;;icient
D$ic$ $as ne3er "een %eas)re& ;r a 6as-li>)i& a6itate& tan, t$e can "e esti%ate& )sin6 se%i-
e%pirical crrelatins Cal&er"an, 4/9 Cal&er"an, 449 Js$i et al
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3
Material and methods
!i;;erent c$e%ical sste%s Dere i%ple%ente& t &eter%ine a ne a"srptin in a sl)tin ;
$&r6en per2i&e, kLp$sical a"srptin ; p)re 26en, kGc$e%ical a"srptin ; @+S in $i6$l
cncentrate& c$lrine alaline sl)tin an& E @+S c$e%ical a"srptin in sli6$tl aci&ic r ne)tral
c$lrine sl)tin (a"le < @+S a"srptin in p)re Dater Das als in3esti6ate& t assess t$e acc)rac
; a, kLan& kG&eter%inatin< ($e para%eters are &e&)ce& ;r% t$e re%3al e;;icienc E>< + ;
eac$ a"sr"e& species8
=
, ,
,
G G
A i A o
A G
A i
C CEff
C Eq. 12
Table 1: Synthesis of the hysi!al an" !he#i!al oe$ating !on"itions alie".
Parameter ValueExperimental
uncertainty
Physical operating conditions
(e%perat)re T +40 H T H
E;;ecti3e 3l)%e V
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3#1
Presentation of the experimental set$up
($e la"ratr-scale 6lass 6as-li>)i& cntactr 1 in Fi6< is a n%inal + liters tan %ec$anicall
a6itate& " a R)s$tn t)r"ine i%peller &ia%eter ; 5)i& circ)latin6 in t$e reactr acet 5< ($e p@ ; t$e li>)i& an& t$e
te%perat)re are %eas)re& n-line )sin6 a c%"ine& p@-pr"e < Fres$ air is intr&)ce& )sin6 a 6as
p)%p !< ($en a 6as ;lD ; N+-@+S " is %i2e& Dit$ t$e p)%pe& air t$ans t a static %i2er 1#)i& cntactr is "-passe& t anale t$e 6as inlet at stea&-
state< Fr t$e inter;acial area &eter%inatin, t$e ;ee& sste% is replace& " an ne 6eneratr ;e&
Dit$ 26en< In t$is case, t$e ne ;lD rate is cntrlle& " a ;lD%eter in (e;ln< !)rin6 t$e
e2peri%ents, a ;ractin ; t$e 6as is "-passe& t anale t$e )tlet at stea&-state 12< Be;re
"ein6 release& in t$e at%sp$ere, resi&)al O0 an& @+S in t$e 6as p$ase Dere >)enc$e& )sin6
respecti3el an ne &estr)ctr an& " ")""lin6 in a cncentrate& "asic c$lrine sl)tin 13< ($e
6as press)re is %eas)re& tDice, at t$e ;lD%eter )tlet t crrect t$e ;lD rate an& in t$e reactr
$ea&space, )sin6 %an%eters)i& "ac %i2in6 per;ectl %i2e& li>)i& p$ase $as "een c$ece&
" Resi&ence (i%e !istri")tin R(! e2peri%ents ;r 3ari)s 6as . t /.. NL $-
an& li>)i& +. t
/. L $-
;lD rates an& i%peller spee& .. t /.. rp% )sin6 ;l)rescein as a tracer< It s$De& t$at
t$e li>)i& Das per;ectl %i2e& D$ile t$e i%peller spee& is lar6er t$an .. rp% D$ate3er t$e ;lD rate
in t$e ran6e i%ple%ente&< 05 Aci&-"aseA,+ D-pH :pH
.k
Kk
= =
E>< 0 Aci&-"aseA,+-pH+
+
.k
Kk
= =
E>< 0* Aci&-"aseA, A,+pH - pH0
0
.kKk
= =
E>< 01 @S-2i&atin
E>< 0/ @S-2i&atin
E>< 04 @+S 2i&atin
E>< 5. @+S 2i&atin
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($e en$ance%ent ;actr ;r tD irre3ersi"le parallel reactins in t$e li>)i& ;il% can "e &eter%ine&
)sin6 t$e On&a an& cDrers appr2i%ate& sl)tin ;r t$e tD-;il% t$er Biar& et als< 5+ an& 50 are tD in&epen&ent e>)atins Dit$ 0 3aria"les /, an& E< ($ere;re, an a&&itinal
e>)atin is re>)ire&< On&a et al< 41. ass)%e& t$at t$e rea6ent cncentratins are >)a&ratic
;)nctins ; t$e ;il% t$icness an& "taine& t$e ;llDin6 e>)atin8
( )
=
+
*
1
*
1
*
*
C%+H
C%+
C%+H
C%+
k/
k
k /
k /
Eq. 45
FllDin6 t$e n)%erical prce&)re &e3elpe& in t$e s)pple%entar %aterial, **
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crr"rates t$e ass)%ptin t$at @+S can react Dit$ ClO- t$r)6$ an aci& "ase reactin "e;re
2i&atin< ( assess t$e i%prtance ; "t$ reactins Dit$ ClO-an& ClO@, t$e rati E04[E04:5. ; t$e
en$ance%ent ;actr calc)late& ass)%in6 )st t$e reactin Dit$ ClO- n t$e 3erall en$ance%ent
;actr $as "een calc)late& (a"le 5< It cn;ir%s t$at, e2cept ;r circ)%ne)tral an& "asic p@, "t$
reactins cntri")te t t$e 3erall %ass trans;er en$ance%ent)ire& t sl3e t$e $i6$ n)%"ers ; &i;;erential e>)atins an& ;inall ")il& a %&el
D$ic$ can pr3i&e an e;;icient tl ;r scr)""ers &esi6n
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,
Conclusions
Hinetics ; @+S reactin Dit$ $pc$lrite anin an& $pc$lr)s aci& Das in3esti6ate& " reacti3e
a"srptin in a Dell a6itate& 6as-li>)i& cntactr< ($e li>)i& an& 6as si&es %ass trans;er ce;;icients
as Dell as t$e inter;acial area $as "een &eter%ine& )sin6 apprpriate& e2peri%ental cn&itins