A B ST R A C T
Re
b
e c c a Leigh
W
i ls onA
M
eth
od f
o r D ilu t e
M ix
ing of
Rea cta nts in anO
utd
o o r Aer o sol
Cham b
e r a nd
th
eA p
p l
ic at ion t o an a-p in e n e
/
O
zo n e Sy
stem
(
Und
er th
ed
ir ec tio n of
R ich
a rd
Kam
en s, Do n ald
Fo x, a nd
Ke n n eth
Se xto n)
At
m
osph
e ric a e r o s olsh
av e r e c e iv ed
in c r e a sing at te ntio n w ith
in th
e pastf
ew ye a r sas their r o
le
in glo
b
al
cl im
ate ch
a nge is in v e st i gated
. Howe v e r, it re
m
ainsd
if fic ult
to c ap tu r ean
d q
u a nt ify n u cle a
t lo n eve nts at am b
ient co nc e n t rations in a sm
o g cham b
e r s e t ting. Ano v e
l m
eth
od w
a sd
e v elo
ped
tom ix
t w od
ilu
te reacta nts at ne ar-a
m b
ient co n c e ntrati
o n s.T
h
ism
eth
od
w a stested
using a t th
e U N C 2 7 0m
^ Outd
oo r Ae r o sol
Ch
am b
er in Pi t tsb
o r o, N Cw it
h
ad
ark
a-p in ene
/
o z o n e system
at near-am b
ie nt con c e ntr at ion s. T
h
ese re sult s
w
er ec o
m p
ar ed
against th
e U N C Part icl
eM
e ch
a nism a nd
s cient ificl
it eratu re to test th
e v alid
it y of
t
h
em
eth
od
. Furth
e r e x pe ri m
e nts w e r e c o nd
ucted
to e x am
in e th
e r ole
w ate r v apo r a nd
A C K N O
WL E D
G
E M E N T
S
T
h
e id
e a th
a t th
is w ork i
s sol
el
y th
e work
of
o n e per s o n is a pat entl
yf
al
se o n e.M
a nyco ntri
b
uted
to th
is ef f
o rt through
their s u p po rt a nd
good
w il l
. Fir st,m
yf
am
i lyh
asb
een as o u rce o
f
u n e nd
ing s up port, esp
e cial l
ym
yM
om
and
Dad
,m
y au nts Pa ul
a and
Patsy, and
M
ol l
y. Th
eyw
e nt to gre a tl
ength
s t oh
el
pm
e st ayf
oc u sed
a nd
w ith
out th
em
th
isd
o c um
entw o u
l d
n't exist.Se c on
d
, I 'd l
i ke to th
ank m
y ad
vis o r, R ich
a rd
Kam
e n s a nd m
yl
ab
gr o up: EricC
h
e n, Ka t Gal
lo way,Q
ia nf
e ng Li, and
Ya ng
Zh
o uf
o r al lthe irh
el
p. Ic o uld
n oth
a v e asked f
o ra
b
et terl
ab g
ro up to wo rk
w ith
. R ich p
r od d
ed
, expl
ained
,l
istened
, a nd p
rovid
ed
in cred
ib l
egui
d
anc e th
r o ugh
ev e ry th
ing,b
oth
acad
em
ic and
pers on. Th
e gro uph
el ped
ru n c o untl
e s sex
p
erim
e nts a nd
provid
ed
af
anta s tic a nd
s up po rtive atm
osph
ere. Ic am
e int o th
el
ab
everyd
ayf
eel
ing a s if
Ih
ad
wo n th
el
ab
gr o upl
o tte ry; th
is is th
e way a group is s u p po s ed
tob
e.F
i
n al l
y, I'
d l
ik
e to t hank
al l m
yf
rie nd
s,b
oth l
o c al
and
s ca t t ered
aro und
th
e gl
ob
e,f
orl
iste ning, pr o of
re ad
in g, a sk
ing que stions, and
e a ch b
e ing sup po rtiv e in th
ei
r own way.T A B L E O F C
O
N T E N T SL I ST O F T A B L ES vi i
L I ST O F F I G U R ES vi ii
L IST O F A B B R EV I A T I O N S A N D S
YM
B O LS xC H A P T E R I: I N T R O D U CT I O N 1
C H A P T E R I I:
M
ET HO
D3
T
h
e U N C 2 7 0m
^ outd
oo rd
u al
ch
am b
e r 3In
str um
entat io n 6Du c two r
k
7C H A P T E R I I I:R ES U LT S A N D D IS C U SS I O N 1 0
Using Su
lf
u r He x af lu o r
id
e(
S Fe)
a s a n Un r e a ctiv e Tr ace r 1 0H E PA Fi
lt e
r Ch
ara c t erizat io n Expe rim
ent s 1 7Nu c
le a
ti
on Expe rim
ents 2 1Dry Nu c
le a t
io n 2 1Nu c
le
at io n and
Co agula t
io n2 5
Fi gu r e 1 5: Part ic
le
c o u nt a nd
v olu
m
e s um m
a ryf
o rM
ay 1 4, 2 0 0 8 e xpe r ime nt3 3
Criege e Radic als 4 0
Hu
m
id
Experi m
e nt s 4 1See
d
Experim
e nts 5 1C H A PT ER IV:C O N C L U S I O N S A N D FU T U R E
W
O R K 5 5A P P E N D I C I
E
S5
7A p pen
d
ix A: Calc u
la
t io n of
Part icl
e S ta tist ic sUsing D
M
A Data 5 7A P P E N D IX B: U N C Partic
l
e K in e tic s Solv
erSyste
m M
e ch
a nism
6 2L I ST
O
F T A B L ES
Ta
b l
e 1. Sum
mary of
Experim
e nts and
Tr a nsf
e r Rates 1 4Ta
b l
e2
. Fl
o w Rate a nd
Half
L if
e of
A ir in th
e So uth
Ch
am b
e r 1 6Ta
b l
e3
. Pe rc ent ag
e of A ir Rep la c ed
Over th
e Co u rs e ofO
ne Ho u r 1 7Ta
b l
e 4. Sum
ma ry of
Co nd
itions of
Dry Nucl
e at io n Experim
e nts 2 4Ta
b l
e 5. Val
u e s Us ed
to Cal
cul
ate Co ag
ul
a tion 2 7Ta
b l
e 6.S
um m
a ry of
Expe rim
ental
Cond
i t io n s of
Hum
id
Experi
m
e nts 4 2Ta
b l
e 7. Rat io of M
ass Th
r o ugh
Sel
e cted
Reactio n Path
w ays5 0
Ta
b l
e 8. Sum
mary of
Expe rim
e ntal
Cond
i t ions of
Ba ck g
r o u nd
L I S T
O
F FIG
U R ES
Fi
g
ur e 1. a-p
ine n e2
Fi gure 2, T
h
eU
N C Aer o s ol
Ch
am b
e r 5Fi gu r e 3.
C
on ne ct in g Ductwo rk
Betw
een Tw
o Hal
ve s of
U N C Ae r o s ol Ch
am b
erFi gure 4. Sc
h
em
at ic of
Du ctw ork
Und
er th
e Ch
am b
e r8
Fi gure 5. Exa
m
pl
e of
S Fe G C Pe ak
Hei gh
t Data Using a Stri pC
h
a rt Re c o rd
e r 1 2Fi g
ure 6:S im
ul
a tio n of
S Fe ap pear a nc e in th
e So u th
ch
amb
erf
rom
th
e ch
artd
ata sh
ow
ni
n Fig
ure5 w
i th
c or re cti
onf
a c t or ap
pl
ied
to sim
ul
at ion1 6
Fi gur e 7. Vo
l
um
e of
particl
es inb
oth
cham b
ers, Jun e 2 6, 2 0 0 8 19
Fi gu re 8:Gr ow t
h
a nd d
ecay of
particlesf
r om
6 nm
to 2 1 6 nm
a s th
ey ar e tr a n sf
e r red f
rom
o n e ch
am b
e r t o th
e oth
e rt
h
r ough
th
e HE
PAf
il
t e r 2 0Fi gu r e 9.
M
ay 1 7, 2 0 0 7 So uth
Ch
am b
e r Pa rticl
e Sc a n s 2 6Fi
g
u r e 1 0.M
ay 1 7, 2 0 0 7 Particl
e Co u nts a nd
Expec ted
Coagu
l
at ion 28
Fi gure 1 1. Ju ne 1 2, 2 0 0 7 So u t
h
Ch
am b
e r Particl
eD is tri
b
uti
o n s 29
Fi gu re 1 2. Ju ne 1 2, 2 0 0 7 Pa rticle Co u nts a n
d
Expe cted
Co a
g
ul
ati
o n30
F igu r e 1 4. Jun e 2 7, 2 0 0 7 Partic
l
e Co u nts and
Expe cted
Co agu
l
atio n 3 2Fi gu re 1 5.
M
ay 1 4, 2 0 0 8 Part icl
e Vol
um
e a nd
Co unt3
3F igu r e 1 6. a
-p ln ene a n
d
O3M
od
elf
o rM
ay 1 7, 2 0 0 7 3 5Fi gu r e 1 7. a
-p in en e a n
d
O3M
od
el
fo r Ju n e 1 2, 2 0 0 7 3 6Fi gu r e 1 8. a
-p ln ene an
d
O3M
od
el f
o r Ju n e 2 7, 2 0 0 7 3 6Fi gu r e 1 9. Co
m
pa ris o n of m
od
ele
d
Ga s -Ph
a s e Re a ct io n s
to O
b
s e rv ed
Dataf
r om
Ju ne 1 2, 2 0 0 7 Experim
ent3
8F igu r e 2 0. Co
m
pa ris o n ofM
od
eled
Ga s-P
h
a s e Reactio n sto O
b
ser ved
Da t af
rom
Ju n e 1 2, 2 0 0 7 Experim
e nt3 8
F
igure 2 1. Com p
aris on of M
od
el
ed G
a s -Ph
a s e Re a ct ions
t o O
b
s er ved
Da taf
rom
Ju ne 1 2, 20
0 7 Experim
ent 39
Fi gur e 2 2.
Re a c
tio n
Path
w ays of
a-p inene Oz o n o
l
ysis ...4 1Fi gu re 2
3
. Ch
ange In Particle
Vol
um
ef
o rM
ay 2 7, 2 0 0 8 a nd
Ju
l
y 1, 2 0 0 8, Hum id
Expe rim
e nt 4 3Fi
g
u re 2 4.M
ay
27
, 2
0 0
8 Part icle
Gr ow
th
, Hum
id
Experim
ent 45
F
ig
u r e2 5
.Ju
ly 1
,
2
00
8
Part icl
eG
row th
, Hum
id E
xperim
e nt 46
Fi gu r e 2 6. Co
m
paris o n of M
od
el
ed
a-p in e n e an
d
O3toO b
se rv ed D
ataf
o r Hum
id E
xperim
ents 47
Fi gure 2 7. Ga s
-P
h
a s e Re ac tion sf
or Hum
id
Experi
m
ent s 4 8F
i gur e 28
. Ratio of
Criege e Inte rm
ed
iate/
Acid M
a s sa s a Fu nct ion o
f
Hum
id
ity
48
Fi
g
ure2 9
.Pa
rtic
l
e Co u ntf
or Jul
y 10
, 20 0 8
Expe ri m
ent5 3
Fi gur e
3
0. Parti
cl
e D istrib
ut ionf
or Jul
y 1 0,2
0 0 8 Experi
me nt5
4Fi gu r e 3 1.
Ju
l
y 10
, 2 0 0 8 aL I ST
O
F A B B R E V I A T IO
NS
A ND S
YM
B O LSC C N: c
l
o ud
c o nd
e n s atio n n u cl
eiD
M
A:d
if fe
r e ntial m
ob
i lity a n al yz e rf
: tr a nsf
e rf l
owF I D:
f l
am
e io niz atio nd
ete ctorG C:
g
as ch
rom
atograph
E PA: En viro n
m
e ntal
Pr ote ctio n A ge n cyS O A: secon
d
a ry o r ga nic ae r o sol
sS O2 : su l
f
u rd
io xid
eN O: nitr o
g
e nm
on o xid
eN Ox: o xi
d
es of nitr oge nN O3 : n itr ate ra
d
ic al
O H:
h
yd
roxy!
rad
ic al
O3 : o z o ne
P K S
S
: ph
oto ch
em i
c al k
in et ic s sim
ul
at io n system
R H: r elativ e
h
um
id
ityS
Fe :sulf
urh
e x af lu o
rid
eSM
P S: s can ningm
ob
il
i t y pa rt icl
e siz e rI d :
d
ew poi
ntV: v o
l
um
ea
-p in ene: a
l
ph
aC H A PT E R I
I N T R O D U
C
T
IO
NA t
m
o sp h
e ric a e r o s ol
s, th
e s u sp
e nd
ed l
i quid
a nd
sol id
pa rticl
e s th
at a r e ub
i qu ito u st
h
r o ug h
out th
e tro po sph
er e,h
ave r e c eived
increa sing
at te n tion w ith
in th
e pastf
ew
ye arsa s t
h
eir ro le in g lob
al
cl
im
ate ch
a nge is e x am
in ed
. B io ge n ic a nd
a nthr o poge n ic a e r o s olsh
a veb
oth
ad
ir e ct a nd
a n ind
irect ef f
e ct o n th
el
arge r cl
im
ate; th
eir ef f
ects o nh
um
a nh
e al
th a re si gn if
ic a nt e n o ug h th
at th
e E P Ah
a spu tl
im
it s o n e xpo s u r e. In th
el
a rge r c
l
im
at e,a e r o s o
l
s sc at te r incom
ing s ol
a r rad
iat ion and
act a s cl
oud
c o nd
e n sat io n n u cl
ei(
C C N)
. Anincr e a s e in C C N c an n ot o n
l
y af f
ect th
e n um b
e r of
cl
oud
s a nd
th
eir si
z e,b
ut al
so wh
e th
er o rno t t
h
o se cl
o ud
sa re ab l
e to prod
u c e pre ci p itat io n(
Ha rtm
a n n, 1 9 9 4 ; Cruz and
Pand
is,1 9 9 7
)
. Aerosol
sh
aveb
ee n sho wn to c a use ad
ver seh
e al
th
ef fe cts inm
ul
tip le pop
ul
a tio ns,su c
h
a s th
e eld
e rl
y and
th
o se w ith
a pr e-e x ist ing i
ll
ne s s. Th
e exa c t ef f
e c ts of
inh
al
at io n canvary
f
r om
aero sol
t o aero s ol
and
v ary gr e atl
y ac cord
ing top
art icl
e siz e and
ch
em i
c al
co
m
po siti
o n,b
ut in ge n e r al th
eyl
e ad
tol
u ng ir rit at ion and
inf l
am m
a ti
o n,b
r o n ch i
al
cons trict ion a n
d
asth m
a-l
i
k
e sy m p
tom
s(
U.S. EP A, 2 0 0 4)
.T
h
e r e are tw o t y pe s of
a e r o s ol
s: pr ima ry aero sol
s, wh
ich
are th
o s e em
it t ed i
nto th
eat
m
o sph
er ed
irectl
y, and
s ec o nd
a ry aer o sol
s, wh
ich
aref
o rm
ed f
r om
atm
osp he ricr e a ct io n s. Bot
h
t yp
e s of
a er o s ol
s c anb
e eith
e r o rg
ani
c o ri
n o rganicin n atu re. Th
ef
o rm
ati
onge n e r ate s e c o n
d
a ry in o rga nic pa rticl
em
a s s. Se c o nd
a ry o rga n ic a e r o s ol
s(
S O A)
, wh
ich h
a v eb
oth b
ioge n ic a nd
a nth
r o pog
e n ic s o u r ces, a ref
o rmed f
r om th
e r e a ct io n s of
vol
a til
e orga n icc a r
b
o n(
V O C)
specie s w ith
ozo n e(
O3)
, o xid
es of
nitr og
e n(
NO
x)
, th
e nitr at e rad
ic al(
N O3)
,a n
d
th
eh
yd
r o xy!
r ad
ic al
(
O H) (
Seinf
el
d a nd
Pa nd
is, 1 9 9 8)
. Th
eb
ioge nic contrib
ut ion to th
e■tl 2
atmo sp he r ic SO A
h
a s be e n r e c e ntl y e stim
ated
tob
e a sh
i gh
a s 6.7 4 T g yr(
1 T g = 1 0 g)
(
Goto, 2 0 0 8)
. Of
th
is, ap proxi m
atel
y 4 4%
isd
u e to isopr e n e, a nd
mo n o te rpe ne s c o ntrib
ut ean a
d d
itio n al
1 1 %, wh
ich
in cl
ud
e s al
ph
a-p in e ne
(
a-p in e ne
) (
Gue nth
er et al, 1 9 9 5)
. Of
m
on oterpe n e em
is sio n s, a-p in e n e
d
om
in a te s, com
prising ap proxi mat el
y 4 0 % of
th
e t o t al
m
as s(
Sp
irig
et al
, 2 0 0 4)
.F i
g
u re 1: a-p inen e
a
-p ine n e
(
Ci oHi e) (
F igure 1)
is a cycl
ic al k
e ne that is em
it ted
prim
aril
yb
y c o n if
e r o u s tr ees. Itis
h i g h l
y re a cti
ve,d
u e to th
ef
our-car
b
o n ri
ng, a nd i
ts prod
u cts ar e of
s uf f i
ci
e ntl
yl
ow v apo rpr e s s u r e t
h
at S O A is e a sil
yf
orm
ed
. Th
e r e actio n of
a
-p in e n e w
i
th
O3h
a sb
ee n w el l
stud
ied
.It
h
asb
e e n in v e sti gated
in thef
ield
(
Sp
a nk
e et al
,2
0 0 1; Boy et al,
2 0 0 4; Fu e nt e s et al
,2 0 0 7
)
, and
th
ere a r em
ul
t ipl
el
ab
o ratory(
B ild
e a nd
Pa nd
is, 20 0
1; Lee et al
, 2 0 0 4 ; Jo nss on etu n
d
e r v a rio u s cond
itions(
Hat al
^ ayam
a et al
, 1 9 8 1, 1 9 8 9;Ja ng,1
9 9 7; Kam
ens et al
, 1 9 9 9,2 0 0 1 ; Hop pe
l
et al
, 2 0 0 1;Ja o ui a nd
Kam
en s, 2 0 0 3; Va rutb
a ng l
< ul
e t al
, 2 0 0 6)
. Kum
al
a et al
(
2 0 0 4)
o rga niz ed
a c om
pr eh
e n siv e s u r v ey of
o v e r o n eh
u nd
r ed f
ield
stud
ie s of
ul
tr af
in epa rtic
l
e s.W
h i lem
a ny of the stud ie s in cluded in th
is s u r v ey do d is c u s s n u cle atio n e v e nts,f
iel d
in str um
e ntatio n is n ot ye t c apab
le of
qu a ntitativ el
yd
et erm
ining th
e ch
em
ic al
c ons tit ue nts o
f
th
e s e part icl
es. Lab
ora t ory and
ch
am b
er e xperim
ent s over th
e pa st th
r eed
e c ad
esh
ave pr o vid
ed
ad d
itio nal
insi gh
ts(
Hatak
eyam
a, 1 9 8 1, 1 9 8 9; Hul l
, 1 9 8 1; Kam
e ns etal, 1 9 9 9
)
b
uth
a v eb
ee n co nd
u c t ed
at conc e ntr atio n s th
at are o n e t o ten o rd
e rs ofm
agn itud
eh
i gh
e r th
an amb
ie nt co n c e ntra tion s. Th
is incr e a sed
c on c e ntr at io n isd
ue inl
argep
art t od
e t e c tion is s ues. Th
e ind i
vid
u al
c om
po nent s of
a re a ct io nm
u stb
e introd
u c ed
atl
e v el
sm
e as ureab l
e tod
e t e cti
o n equi pm
ent, and
th
e c o ntrib
u tio n s of
al l
c om
po und
sm
ustb
e qu a ntif
iab l
e. Th
is c r e ate s ad
if f
e r e nt se t of
pr ob
lem
s, wh
ich
a r e e x em
pl
if
ied
in v a rio use xpe ri
m
entsth
a t hav e be e n c o nd
u cted
u sing a-p inen e a n
d
O3 w ithd
iff
e r e nt le v el
s of
b
a ck
grou nd
wate r v apo r. Sum m
ariz ed b
y Jo n s so n et al(
2 0 0 6)
, the s cie ntif
ic com m
u nity ise ssent
i
al l
y spl
it o ve r wh
eth
er o r not th
e pre s en c e of
w ate r vap
o rh
as ap
o sit ive, n eg
at ive, o rn u
l l
im
pa ct o n th
e n um b
er of
part icl
e s cre ated
in th
is system
a nd
th
ei
r r e s ul
ta ntm
ass.Us
i
ng
af l
ow re a c t or, s om
eg
ro up
s(
Roh
r e t al
, 2 0 0 3 ; Pick
e t al
, 2 0 0 3)
ob
s e r v ed
th
a t w a te rd
o e s not af f
e ct th
e system
a t all
, wh il
e oth
e r s(
Be rnd
t et al
,2 0
0 3)
f
ind
sm
all
ef f
ects,w
h
e rea s Jo n ss o n et al
(
2 0 0 6)
f
ind
s a po sitiv e ef f
e ct. Bo n n et al
(
2 0 0 2)
r e po rted d
if f
e r e nte
f f
ectsd
epend i
ng
on th
e am
o u nt of
r e a ct ants in trod
u c ed
u sing
ab
ag reactor, a nd
Co ck
er etT
h
is pape r e x am
in e s a n o v el m
eth
od
of i
ntr od
u ci
ng r e a cta nts a nd
e xpe rim
e ntsc o n
d
ucted
t o s tud
y th
e ef f
ects of
water vapor and
s e ed
on nu cl
e a tlo nf
r om
th
ed
a rl
<rea ctio n o
f
a-p inene w it
h
o z on e. Of
spe cial
int ere s t wa s: 1. th
e eff
e ct of wa t er on th
ef
inal
pro
d
u cts, 2.h
ow th
e pre s en c e of b
a ck g
ro und p
articl
e s enh
an ce s or inh
ib
it s th
e n ud
e atio npr o c e s s, 3. t
h
e ab
il ity of
th
e U N C pa rticlem
e cha n ism
{
Kam
e n s et al
, 1 9 9 9
)
to c aptu r e wh
atis s e e n e xperi
m
entall y, a nd
4.h
ow th
es e experim
e ntsf
it w ith in thel
argerb
od
y of
s cient if
icC H A P T E R I I
E X P E R I
M
EN T A LM
ET H O D ST
h
e U N C 2 7 0m
^o utd
o o rd
u al
ch
am b
e rDa r
k
-p
h
a s e r e a ctio ns we r e in v e sti gated b
y c o nd
uct ing expe rin n e nts at ni ght
at th
eU N C o ut
d
o o r sm
og ch
amb
erf
a cil
it y in P it tsb
o r o, N C. A ph
otograph
of
th
e ch
am b
e r iss
h
ow
n in Fig
ure 2. A c om
pl
eted
e s cri p t ion of
th
e 2 7 0 m^
c
h
am b
er canb
ef
o und
el
sewh
ere(
Lee et al
, 2 0 0 4)
. Th
e t wo side s of
th
e ch
am b
e r are nom
in al l
yd
e signated
a s North
and
S
o u th
;d
u ctw o rk
r u n s u nd
e r n e ath
th
e ch
amb
e r to c o n n e ct th
em(
Fi gu r e 3)
. A sch
em
at ic of
t
h
isd
u c tw o rk
c a nb
ef
o u nd
in F igu re 4. It is th
ro ugh
th
isd
u ct wo rk
th
at airf
r om
on e sid
e of
t
h
e ch
am b
e r travel
s to th
e o th
e r side to a ch
ie v e ad
il
uted m
ixing.Figu r e 2. T he U N C Ae r o s ol C ham be r Figu r e 3
.Co n n e cting du ctwo rk betwe e n two halv e s of U NC Ae r o s ol C ham be r
In pr e
p
a r atio nf
or each
e xpe rim
e nt,b
oth
ch
am b
er s w er ef l
u sh
ed f
o r ap pr o ximat el y1 2
h
ou rsw ith
r u r al
air, th
en pu rged f
o r a
m i
ni m
um
of
a n ad d
itio n al 4 8 ho u rsw ith cle a n, dryair
f
rom
ad
e an airg
enerator. Du e to ai
rfl
owp
a th
co nsi de r at ion s,O
3w a s iNo rth cha
m
be r fo r al
l e xperim
e nts, a nd a-pin e n e o r d
-l i
m
o n e n e wa s inj
e cted into the So uthc
h
am b
e r. P ri or t oi
nj
ect ing
reac ta nts, s u
lf
u rh
exaf l
ourid
e(
S Fe)
w a s inj
ected
in t o th
e No r th
c
h
am b
e r o nl
y to trac e them
o v em
e nt of
airf
r om
th
e No rth
sid
e of
th
e ch
am b
er to th
eSo ut
h
sid
e. Ozon e was inj
e cted
u sing a n o z o n e gen er ato r . In th
e So uth
sid
e of
the ch
am b
e r ,nitr oge n o xi
d
e(
N O)
w a s intr odu c ed in sm
al l am
o u nts to titr ate o ut a ny tr a c e s of O3. a-p in e n e was t
h
en vapo ri z ed
into the So uth
ch
am b
er t hr o ugh
ah
ea t ed
U-tu
b
e . Th
e v apo rw a s c arri e
d I
nto th
e ch
am b
er via a ni trogen str e am
. A t th
e ti m
e of
introd
u ct ion into th
eirre spective c
h
am b
e r s and f
o r t wom
inu t e s th
e reaf te r, al lr ea c ta nt s we r em
ix ed
w ith
am
ixin gf
anlo c a
t ed
ab
ov e th
e inj
e ction point in sid
e th
e ch
am b
e r . Al l i
nj
ect ions a nd
s ub
s eque ntm
ixing t o ok
pl
a c e af
te r s u ns e t to el
im
in ate ph
o to ch
em
ical
ef f
ects.Instr u
m
e ntat io nT
h
e r ate of
re a c tion plu s
d
il
u tion of
a-p in e n e or
d
-l
imon e n e wa s
m
ea sur ed
using agas c ap i l
l
ary ch
rom
a tograp h(
G C, Sh
im
ad
z u mod
el
1 4 A, co lum
n : 3 0m
, 0.2 5m m
i.d
. , J&
W
D B-1
, 0.2 5
m f
il m
th
ick
n es s)
in c o nj
u n ct io n w i th
af l
am
e ion izatio nd
etecto r(
F I D)
. A sam
p lew
a s tak
e n every 1 0m
inu t es, a nd
it w as possib
le to c ol le c
t a sam
ple
f
rom
th
e So uth
c
h
am b
e r onc e ev e ry 2 0m
in utes. Pa rt icl
e siz ed
ist rib
ut ion s and
vol
um
es we re col l
e cted
u sing a s c a n n
in
g m
ob
il
ity
particl
e siz
e r(
SPM
S)
sy
s t em
c onsi
stin
g
of
two co nd
en sationpa rticle c ou nt er s
(
T S I C P C, 3 0 2 5 A and
3 0 2 2,M
N, U S A)
each
w ith
ad
iff
er e ntialm
ob
il
ityana
l
yzer(
T S Il
ong
DM
A,3
0 70
and
3 0 8 1,M
N, U S A)
. One DM
A took
s am
pl
e s onl
yf
rom
th
eSou t
h
ch
am b
er, s c a n ning 6 nm
to 2 1 6 nm
. Th
e o th
e r sw itch
ed b
e twe e n th
e No rth
and
So ut
h
cham b
ers ev e ry 1 0m
in u t e sin a c co rd
an c e w ith
th
e o th
er s am p
l ing in strum
ent s and
i
nclu
d
ed 3 0
s e c ond
s of d
own sc an a nd 1 20
s e c o nd
s of
u p s c a n.O
z o n e w a sm
e a s u red b
y aU V p
h
o t om
e t ric oz o n e a n al
yz e r(
T he rm
o-Envlron
m
e nt al In strum
ent sm
od
el
4 9 P/
S,In
d
ia n apoli
s, I N, U S A)
. N O a nd
N Ox a r em
e a s u r ed
u sing a chem
ilu
m
in e s cent an al
yz e r(
M
L9 8 4 1 A, Ty l
ed y
ne,L
osAngel
e s, C A)
. Tem
per atur ei
n a nd
a round
th
e ch
am b
e rs we rem
e a s u r ed
b y tem
pe r atu r e pr ob
e sm
o u nted
in e a ch
ch
am be r o n a wh
ite r ad
iatio n sh ield
a nd
in s
h
ad
ed
ar ea s ar o u nd
t he exterio r of
th
e ch
am b
er(
R.M
. Yo ung
Com
pany, Tr a verse C i t y,M
l)
. Dew point(
Td)
a nd
r ela
tiv eh
um
id
it y(
R H)
w e r em
e asu r ed
co ntin u o u sl
y insid
e th
ec
h
am b
e rs w ith
a Rel
at iv e Hum
id
it y An al
yz e r(
Sab l
e System
s R H-1 0 0, La sVegas, N V, U SA
)
.Ca
l
ib
ra tions of
all
in strum
ents wer e c o nd
ucted
prio r to ea ch
e xpe rim
e nt. Th
ep
r o c e s s us ed
is
d
e s crib
ed
ind
eta il
el
sewh
er e(
Hu et al
, 2 0 0 7)
.Du ct
w
o rk
An i
l l
u str at io n of
th
ed
u c tw ork
c o nne c ting th
e No rth
and
So uth
ch
am b
e r si
s sh
ow nin F
i g
ure 4. A iri
sm
o v ed f
rom
th
e North
to th
eS
o uth
ch
am b
e r via a 1 9.3
cm
x 6.6
1m
ga
lv a n
iz ed d
u ctb
e n e ath
th
e ch
am b
e rf l
o or th
at c o n nects th
e two sid
e s. Th
ed
u c th
a s a nin
l
in e r ad
ialf
a n(
Dayto n 6 K 2 2, 1 7 2 5 rpm
, 34h
pm
ot or, Dayto n 4 C 6 5 9f
a n)
to tr a n sf
er airb
etw e e n th
e No rth
a nd
So u th
ch
am b
e r s. Th
e r e is a 2 3.3 7 5 in . squ a re H E PAf
il
te r(
Al
ph
a Cel l ,F
l
and
ersF il
te r s, S t. Pete rsb
u rg
F L, U SA)
d
ow
n s tre am
of
th
e rad
ial
arm f
a n, s o th
a tp
articl
e sf
rom
th
e No rth
ch
am b
er c a nb
e r em
oved
a s airf l
o ws into th
eS
o uth
ch
am b
e r. Th
e H E P Af
il
ter(
23
.3 7 5 x 2 3.3 7 5 x 1 2 in .
)
sit s in a 2 4 in. c ub
eh
o u sing. It is ra t ed
tof i l
te r o ut atle a s
tQ
^
1 2
M
H F P A fil le r
n
i
Smj! h r ii Hf iibf*i
u I D
Ei
n
.2 1
H
c
s
>H F P A
filte r
No rt h c hambe r
m
7
^
0 0
T h
ef l
ow of
ai
rf
r om
th
eN
o rth
ch
am b
e r to th
eS
o uth
ch
am b
e ri
s c o ntr ol l
ed b
y as e rie s of
b l
a s t ga te v alv es3 0.5 cm
ind
iam
ete r, w
h
ich c reate th
e pa th f
o r air tom
o vef
rom
t
h
e No rth
ch
am b
e r to th
e So uth
ch
am b
e r. Th
ey a r em
ad
ef
r om
3.2m m
gal
van ized
sh
e etm
etal
a nd
a r e c o ntr ol
led
w ith
a sc r ew-a ctu ated
step pe r
m
oto r. Gates a r e ope n ed
in ac o
m b
in atio nd
iffe r e nt fr om
th
a t u s ed
to v e nt th
e ch
am b
e ri
n o rd
e r tof
o r c e air tom
o vef
rom
the North
to th
e So u th
ch
am b
erb
ef
orem
oving ou t sid
e. T he gate th
a t is im m
ed
iatel y
ups tr e a
m
of
th
e r ad
ial
a rm
fa n(
Gate 6 in Fi gu re 4)
is n ot o pen ed f
ul l
y, s o th
e totalf l
owf
r om
t
h
e No rth
to th
e So u th
ch
am b
er is restricted
. Due t o th
is, e a ch
experi m
e nth
a s a sl
igh
tl y
d
iff
er e nt r ate of
tr a n sf
e r. As the air tran sf
e r t ak
es pl
a c e,m
ak
e u p air isd
r awnf
rom
outsidet
h
e ch
am b
er th
r o ug h
a 3 0.5 cm d
u ct into th
e North
ch
am b
er. Exc e s s airf l
ow ing
into th
eS
o uth
ch
am b
er isvented
th
r oug h
a ga t e val
ve in th
ef l
o o r a nd
exh
a u sted
to th
e o utside.Expe ri
m
e ntal
r es ul
t s we r e c om
pared
u sing a n a-p
i
n e n e + 03
ga s-part icle c
h
em
ic al
m
e ch
anism
(
Kam
e n s a nd J
a o ui, 2 00
1)
th
atw
a s ad d
ed
to th
e Ca rb
o n Bo nd
IVg
a s-p h
a s ec
h
em
istry{
Ge ry et al
, 1 9 8 9)
a nd
sim
ulatio n s we r e pe rfo rm
ed
w ith a ph
oto ch
em
ic al k
in et ic ssi mu
l
ation system
(
P K SS)
writ t enb
y Jef
frie s(
Jef f
rie s, 1 9 9 1)
. Th
is ap pr oach
w a s u sed b
yLe ungs a
k
ul
et al
(
20
0 5)
tom
od
el d
-li
m
o nene + 0 3.
T
h
e ra t e of
ap pe arance of
either O3 o r S Fg int o th
e So uth
ch
am b
er required
ana
d d
i t ional
r e a ct io ni
n wh i
ch m
a s s ap pe a r ed i
n th
e So uth
ch
am b
e r w ith
a rate c o ef fi
cientequ a
l
t o th
e tran sf
erf l
ow(
f)
d
ivid
ed b
y ch
am b
er vol
um
e(
V)
. T h is is sh
ow
n th
r o ug h
o zon e"
a
p p
ea ri
ng
" w ith
a rate c onsta nt(
f
/
V)
b
etw
e en th
e tw
o ch
am b
ers.T h
e contents of
th
ec
h
am b
er w e re a ss um
ed
tob
em
ix ed
a nd
wered
il
ut ed
w ith
af
ir st-or
d
e r ra t e c o ef f
icient of
C H A P T E R I I I
R ES U LT
S
A N D D IS
C U S S I O NIt is a c
h
al le n
g
e to sim
ult a n e o u s
ly introd
u c em
o r e th
a n o n ed
ilu
te ga s int o a sm
ogc
h
am b
er w ith
o utd
ilu
ting ah
igh
c o n c e ntra tio n p lum
e of
th
e s e co nd g
as in to th
ef
irs t. Th
ism
ayle a
d
t o artif
acts in ob
s e r v ed
r ate s of
re actio nb
ec au se th
e re a c tio n r ate, a sg
a sesd
if
fu s e into to the c o n c e ntr ated
p lum
e, w i llb
e af
u n ctio n of
the h ig h c o n c e ntr atio n gr ad
ie ntw it
h
in th
e pl
um
e. Th
is is e special
ly tr u e wh
e n at tem
pting t o ob
s e rv e pa r ticle n u cle a t
io n . Ino r
d
er t o in v e st i gate r e act ion s at r e al
istic c on c entr atio n s, th
em
e th
od
u s ed h
ere ne ed
s tob
ee v a
lu a
ted
. Th
is r equir e s 1.m
ea s u r em
e nt of
th
e r ate c o ef f
icie nts of
n o n r e a ctiv e ga s e sd
uring th
e transfe r of
ga s es and
part icle s
f
r om
one ch
am b
e r to an oth
e r; 2. th
e ab
il
ity t or e
m
o v e pa rt icle s
th
at mayb
e in ad
vert entl
y tr a n sf
e r r ed f
r om
on e ch
am b
e r to th
e oth
e r s ot
h
a t nu cle a
t ionp
r o c e s s ca nb
e ob
s er ved
; and 3
. th
e ab
il
it y t om
od
el
th
e ini t ial
ga s ph
a sere act io ns pr e c e
d
ing n u cle a
ti
on , tod
em
o nstra t e th
a t ch
amb
erb
eh
avio r using
th
ism
e th
od
isc o n sistent w it
h k
now n ch
em
ical b
eh
avio r.Using Su
l f
u r Hexaf l
uori d
ef
S Fg)
a s an Un re a ct iv e Tra c erW
h
enb
oth O
3and
SFe
ar e ad d
ed
to th
e No rth
ch
am b
e r a nd f lo
wf
rom
th
e No rth
t ot
h
e So uth
ch
am b
er isb
eg
un, ad
ecreas e of b
o th
O3 and
S Fe in North
ch
am b
er is ob
ser ved
f
o llo
w
ed b
y a n incr e a s e of
O3 a nd
S Fg in th
e So uth
ch
am b
e r. Und
e r id
e al
cond
itions th
er et i
m
e s in bot h cham
bers. This al lows the two cham
be r s to be tr e ated a s c o n t in u ou sly st ir r edta n
k
rea cto r s(
C ST R)
. Und
er th
e s e cond
itio ns,f l
ow
into th
e South
ch
am b
er is v e nted
to th
eo utsi
d
e, so am
as sb
al
anc ed
e sc ri p t ion of
th
e ch
a nge in a no n
-re act iv e
g
a s su ch
asS Fe ca nb
ed
e s c ribed
a s :- A
m
a S Sn o rth =A
m
a S Ss o uth in= Am
aSSs o uthobs e r v ed +Am
a S Sj o uthv e nted(
1)
S Fe c on centra tio n sa
m p l
e s were tak
en every 1 0m
in u t e s, al
t er n at ing b
et w ee n th
e twoc
h
am b
er s, in a c c o rd
a n ce w ith
th
e r e st of
th
e ch
am b
e r sam p l i
ng system
. Th
e c al
cul
ati
o ns of
rate c o ns ta nts
f
ol l
ow .For a
f
irst o rd
erp
roc e s s, a ch
ange in c on c e ntrat io n over t im
e is e xpre s s ed
a s:^
=k
r a te
[
-C
]
(
2)
w
h
ere c on c entra tio n is expres sed
in u ni ts of m
ass/
vol
um
e o r as am
ixing
ra tio(p
p m
)
and
k
ra te IS a rate co nstant w ith
u nit s of
r e ci pro c al
t im
e. D ividing E q. 1b
y vol
um
e and
u sing
th
eequiva
l
e nt ra t e sf
r om
Eq. 2, on e obt
ain sf
o r S Fe :[
S
F6N]
*
k
ra t eN =
[
S F6
s]
*
k
ra t eSobs erv ed +
[
S F6s]
*
k
ra t e Sv e n t ed
(
3
)
w
h
e re[
SF 6
n]
is th
e c once ntr at ion of
S Fe in th
e No rth
ch
am b
er a t a g ive n tim
e,[
S F6s]
is th
eco n c e ntra tio n in t
h
e So uth
ch
am b
er a nd k
r ate a r e th
e respect iv e r ate co ef f
icients. Fo rm
a ssb
al
a n c ep
u rpo s e s, a ny S Fe th
atl
e a v e s th
e North
ch
am b
e r is as sum
ed
tob
e tr a n sf
e r r ed
tot
h
e So uth
ch
am b
e r; th
at is, th
e r e a r e n ol
e ak
s o r oth
e rl
o s s e s in th
ed
u ct wo rk.
Th
er ef
o r e,k
r ate N =k
r ate S in a nd
, o h c e th
e South
ch
am b
er isf
ull
ym
ix ed
,k
r atesv e nted canb
e c onsi d
ered
equ a
l
tok
r ate N as[
SF6
s]
*
k
r a t e Sobs e r v ed=
[
S F6N]
*
k
rateN "
[
SF6
s]
*
k
A
f
ter th
ed
il
ut io nb
eg in s a nd
a s[S F6
s]
ap pro a ch
e s[
S F6n]
o n e wo ul d
e xpe ctk
r ate sobs e r v edtob
e ap proxim
a t el
y t w ice th
at of k
r ateN-S Fs G C
d
ata was a cquired
w ith
a s trip ch
a rt re co rd
e r, s o pe akh
ei gh
t sw ere us ed
a s asur r ogate
f
o r c o n c e ntrat io ns(
Fi gu r e 5)
.-
fe
te
--'^
-' -t- - t
-, I !
F
i g
u r e 5: Ex am
pl
e of
S Fe G Cp
eak h
e igh
td
ata using a strip
ch
a rt r eco rd
e r(
Ju n e 1 2, 2 0 0 7e xpe ri
m
e nt)
. Tal l
e r pe ak
s a r ef
rom th
e North
ch
am b
e r a nd
sh
o rte r peak
sf
r om
th
e So uth
.Sa
m
pl
es we re tak
en e very 1 0m i
n utes. Tr ansf
e rb
eg ins af
te r th
e 4*
SFe pe a
k
in th
e No rth
c
h
am b
er, st arting f
rom
th
el
ef
t.T
h
isp
erm
it ted
a n e st im
ate of
th
e S Fe rate coef f
icientsf
or th
el
o s s of
S Fgf
r om
th
e No rth
c
h
am b
er. Th
e ob
s er ved
rate c o ef f
icie nt s are sh
ow n in Tab l
e 1.
In th is ta
b l
e. C ham b
e r ind
ic ate s eithe r th
e No rth
o r So uth
si de of th
e sm
og
cham b
er,an
d
re a c t ant ind
icates th
e qu a ntity of
each
r eacta nt wi
th
in th
eir re spe cti
v e ch
am b
er.A
part icl
e c onc e ntr at io n(
M g*m
"^
)
ind i
c ate s th
e ch
ang
e in part icl
e c o n c entr ati
o n ob
s er ved
over t
h
e c o urs e of
th
e exper im
e nt wh
e n th
e r e w a s a nu cl
e at ion e vent. Fi
n all
y,
k
r ate(
m i
n'^
)
i
s th
e r ate of
tran sf
e rf
o r e a ch
ch
am b
e r,d l
im
isd
-
l
im
on e n e, a n
d
a-p is a
-p
in en e. By
conve nt io n,
k
ra te isd
ef
in ed
t ob
e po sitive, s o a nega tiv e r ate isf l
ow o ut of
a ch
am b
e r,w h
il
er a nge
f
r om
-0 .0 0 8 to-0
.0 1 7. T
h
e a v e r agek
r ate N wa s c al
c ul
ated
tob
e -0.0 1 2, a nd
w ith
as ta n
d
ard d
evia ti
on of
0.0 0 3 4, rate c o ef f
icie nts a r e sim
il
a r amo ng e xp
erim
ent s.M
e a s ured
r ate c o e
f f
icie nt sf
o r n o n r ea ct iv e ga s e nte ring the So uth
ch
am b
e r a r ef
a rl
e s s c o nsiste nt. Aw
id
e r r ange is ob
s e r v ed
,f
r om
0.0 1 5 u p to 1.6 4 5. Th
e a v e r age r ate c o ef f
icie ntf
o r th
e So uth
is 0.2 0 8, a n
d
the sta nda rd de viatio n is 0.0 1 3 4. A po s sib
le r e a son fo r th is v ari ab i lity is thatw
h
e n airf
r om
th
e No rth
ch
am b
e rf
irst e nters th
e So uth
ch
am b
er, i t is n otp
e rf
e ctly m
ix ed
.P K SS w a s u s e
d
tom
od
el
th
e ap pear a n c e of
S Fe in th
e So uth
ch
am b
e r u singd
atafro
m
Figu re 5. Th
e res ul
ts of
t hr ee e xperim
ents, th
e r el
ati
v e c on c e ntr at ion of m
od
el
ed
S Feco
m
pa red
to ob
s e r v ed
v al
u es over tim
e, a r e sh
ow
n in F igu re 6. In al l
c a s e s, th
em
od
el
ed
S Fe c o nc e ntr atio n w as gr e ater t
h
a n th
e r epo rted
c o n c e ntr atio n; sim il
a r ov e rpr ed
ict ion swer e a
l
s o se en in th
e 0 3/
a-p i
n e nem
od
el
. A c or re c ti
onf
a cto rb
e twe e n0
.5
and
0.8 w a sap p
l
ied
to th
e ind
ivid
u al d
il
uti
on rates tob
ri ng ab
o ut a clo serm
atch b
et w eenm
od
el
ed
a nd
o
b
s er ved
val
ue s. Fo r a g ivend
ay,b
oth
th
em
od
el
ed
S Fe a nd O
3d
atad
if f
erf
r om
ob
se r v ed
d
atab y
th
e sam
e am
ount. Th i
s s ug ge ststh
at th
ere w a s s om
el
o s s in th
e system
th
ro ugh
l
eak
s in th
ed
u ct wo rk d
uri ng
th
e tr a nsf
er pro ces s. Detail
s of
ind
ivid
u al
experim
ents w il l b
eTab le 1: Su
m m
a ry of
Expe rim
ents a nd Tr a n sf
e r Rate s"Date C ha
m b
er Re a cta ntA pa rtic
l
ec o n c e ntr ation
(t
ig
*m
"^)
O
b
se r ved
k ra te
(
m
in '^)
9-
M
ay-0 7
9
-IVIa y-0
7
1 7
-IVIay
-0 7
1 7-
M
ay-0 7
2 3-
M
ay
-0 7
2 3-
M
ay-0 7
1 2
-Ju n
-0 7
1 2
-Ju n-
0
7
2 7-J u n
-0 7
2 7-J u n-0 7
1 4-
M
ay-0
81 4-
M
ay-0 8
2 7-
M
ay-0 8
2 7-
M
a y-0 8
2 6
-Ju n-
0
82 6
-Ju n-
0
8
l -Ju
l
-0 8l
-Ju
l
-0
8
l O-Ju
l
-0 8l O
-Ju
l
-0 8 N S NS
N S N S N S N S N S N S NS
N S0.2 4 4 5
p
pm
O3 0.5 p pm
Cd l
im
0.2 5 1 p p
m
O3 0.0 1 7 p pm
V a
-p
0.2 0 5 p p
m
O3 0.0 1 p pm
Cd l
im
0.1 7 4 p p
m
O30
.0 1 p pm
V a
-p
0.2 1 1 p p
m
O3 0.0 1 p pm
V a
-p
0.2 3 p p
m
O3 0.0 2 p pm
V a
-p No c
l
ea n airu s e
d
0.2 7 p p
m O
3 0.0 2 p pm
V a-p
W
at e r vapors e e
d
pa rticl
e in N o nl
y0.3
p p m
O3 0.0
3 p pm
V a
-p
W
a t er vap
or0. 1 p p
m
O3 0.0 3 p pm
V a-p
B
a ck
gro u nd
s e e
d
None
0.5
No n e
0.3
0.0 4
No n e
Non e
Non e
Non e
No n e
-0.0 0 8 0.0 1 5
-0.0 1 5 1.6 4 5
-0.0 1 2 0.0 2 5
-0.0 1 6 0.0 3 2
-0.0 1 7 0.0 4 5 3
-0.0
1
1 0.0 2 3-0 .0 1 1
0
.0
16
-0.0 0 9 0.0 2 1
-0.0 1
0
.0 3 9
-0.0 0 8 0.0 3 1
* ln
d i
cates rea ctants a n
d
r ate s of
tr a nsf
er ,d l
im i
sd
-li m
on e ne, a-p is a
P
red i
ct
ed
vsM
e a s ured S F
gi
nS
o ut
li(M
ay
1 7, 20 0
7Model S F6
Data S F 6
20 4 0 6 0
t ime
(
m in ute s)
8 0 10 0
1 2
P
r ed i
ct
ed
vsIM
e a s u r ed S F
^i
nS
o utl
iJ
u n e 12
,2 0 0
75 1 0
o 0 6
2 0 4 0 6 0
t ime
(
minu te s)
•Model S F6 DataSF6
8 0 10 0
e
o oP
r ed i
ct
ed
v s(M
e a s u r ed S F
g inS
o ut h
J
u n e2
7,2 0 0 7
2 1 0
Model S F 6
Data S F 6
» 0.2
2 0 4 0 6 0
t ime
(
minu te s)
8 0 1 0 0 1 2 0
Fi
g
u r e6
:Si m
ul
at io n of S
Fg a
p p
e ara n c ei
n th
eS
o uth
ch
am b
e rf
r om
th
e ch
a rtd
ata sh
ow ni
nIt is als o u s efulto c alc ulate the hal f
-l i fe of S Fs in the No rth cha
m
be r o n c e thetransfe r
h
a sb
eg
un(
Tab le
2)
. Half
-l
if
e is a go o
d
e st im
ate of h
owl
o ng
it tak
e s air tob
evente
d
o ut of
th
e South
ch
am b
e r, and
c an ind
icate wh
eth
e r a-p in e n e
d
e c ay ob
s er v ed
onG Cs is
d
u e to r e a ctio n w ith
O3 o r el
im
in atio nf
r om
th
e ch
am b
e r.Ta
b le
2: Fl
ow Ra t e and
Half
-Lif
e o
f
A ir in So u th
C
h
am b
er*Da t e Vat e N
A ir F
l
ow(
m
^m
in -^)
H
alf
-L if
e(
m in)
9-M
ay-0 7 1 7-
M
ay-0 7 2 3-
M
ay-0 7
1
2
-Jun -0
72 7-Ju n
-0 7
1 4-
M
a y-0 8 2 7-M
ay-0
8
2 6-Jun-0 8
l-Ju
l
-0 8l O-Ju
l
-0 8 -0.0 0 8
-0 .0 1 5
-0.0 1 2
-
0
.0 1 6-
0
.0 1 7-0 .0 1 1
-
0
.0 1 1 -0.0 0 9
-0 .0 1
-0 .0 0 8
1.0 8 8
2.0 4
1.6
3
22.1 7 6
2.3 1 2
1.4 9 6
1.4 9 6
1.2 2 4
1.3 6
1.0 8 8
8 6.6 4
4 6.2 1
5 7.7 6
4
3
.3 24 0.7 7
6 3.0 1
6 3.0 1
7 7.0 1
6 9.
3
18 6.6 4
*
s
h
ow s th
ef l
ow of
airf
r om
th
e No rth
ch
am b
e r to th
e South
ch
am b
e r, inm
^m
in'
\
a nd
th
e hal f
-l
if
e o
f
th
e air in e a ch ch
am b
e r. A sho rte rh
alf
-l
if
e in
d
ic ate s af
a ste r tr a n sf
e r, wh
il
e al
o ng
e rh
al f
-li f
e in
d
ic ate s a slo
wer tran sf
er.T
h
ek
r at e val
ues sh
ow n in Tab l
e 2 ca nb
e ap pl
ied
to Eq. 2 t o c alc u
la t e
h
owm
u ch
airm
ove s th
ro ug h
th
e tw o ch
am b
ers ov er th
e c o urs e of
th
e tr a n sf
e r. G iv en th
at an expre s si
ono
f
a rate c on stant istotal f lo
wd
ivid
ed b
y v ol
um
e, th
e ob
s er ved
rate c o n sta nt s ca nb
em
ult
i pl
ied b
y th
e ch
am b
er vol
um
e(
1 3 6m
^)
to c al
c ul
ate airf
low th
ro ug h
th
ed
uct w o rk
. Th
ee sti
m
ated
tr a n sf
e rf l
o wf
o r th
e e xpe rim
entsd
eterm
in ed
in Tab l
e 3 r a n gesf
r om
1.08
8 to2.3 1 2
m
^*m
in '^. Re a ct ion t i