PHYSl(;~I;
liD EX
THOOOCTlON
.
~. .
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.
. .
.
.
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.
.
Tables
1
15 ..
1 5"'
18 ..
36 ..
lNfROOOCTION
The study of the electromotive fprces
_,
of galvaniccells of various types is a fundamental part of the' ~cience
of electrochemistry; but in additionJit is to a large
t a branch of the morE~ subj0ct of thermodynamics .. Jndef3rl, little progress was made, until it we.s rea,lized that
th~~ phenomena of electrochemlstry are subjl?ct to the
exact methods of thermodynamit~s .. Ttlf? application
methods to the subject th the s es of
exact; ma ti thr~ory was first d :'1a
nfnct-orily Gibbs, th the
cation of his results. Cons tly, even
ce of tho contributions of Gibbs was
r the cult ta of d
methods of ting his conclusions and employing them in
Elctmil numerical calculations .. Th.i s work has
out th t 11 by G .. !~ .. s in
errum in Denmark, and many other s in more recent
ln
1899 Nernst developed his osmotic theory ofcone en
tion cell .. This work, b~~ des t impetus to ""Ubj kl j' r~r· ,._, / t .,>' pCHH5i bl f:!the normal elec 0 ten jl
obtaining such standard potent::i, s WlH~
is knmm tho evalut:d;ion of the absolu ta po t,i al of
trodf~
combination of e it is to
some s
r CJ.fcon ning ions at t HC
at 0
e
rectly to
e ac on was in
on
or
the s ·1907 G .. Ntraduced act:Ivi ty, ch
as a corrttOJCt conr~en on ..
that some such ticul rly in the
mass action f~o in rt:HJ
only
Tht~ i an extension of t.he :f.dea
by ti ve ml:>.sses n.,
ly tl:w function ht:Is com~? to bo uned univer
theory HC ti Viti !~fl 1s tly S'-OUnd
c-the function is ano
en
..
For
an solutionwe
can..
-
GRf
ln fi-
Qis
partialmolal
'
Nis
the mol:tion, and
ao
is a eons t d tonly
onure
sure ..
For· a
solution of' a substance-G :RT ln a
a :1 s the ac t;i ty of
as
ere-+ ln a+
and
-
G 'Qo+
RT lnare. the activities
ions ..
But the solu if~ at. equi brium
we
can soG ::::: -o
o ...
+a~
..
..
ln
a. Of: RTa+ + ln
t
a qu~stion of
tiqns, can ob
~rhe law of mass action, using e.c
d~~fini ti on.~ 1 .. e ..
g
as
activity
is
+
a_
a
+
coef:fi c:i. en t
tlH~ ra~io of
this ction
lu solutions ..
ano
~ctrcly
+ 2RT ln
f an ectroly 1 flC ty to it~ so t it
is
a
--
..
=
more simply.
ties~ is
tion
ce
a
molal:!
•
ft. is mean ac
ty
co rmt ..dis a
on
is as..
..
..
:::: mv:e defin~ the stoichioroet:rica.l aet:i.vi ty
:r
+
a_
s function f es the d
l our
ec
it is
is
bla,ck requi i ~~ easily
eli eult:1es some is quinhydrone
ch consi s t,s of a
a on
ntion
is
occur ..
e di
piece
to a
tion of quinhydrone ..cient
r
an
it
or
ent
Unum
is a complex consisting of one mol quantity of
one molecular
quem
ti tyor
placedll on in which solubtli
ac
b
I
H
I
I
m
on
t;
s,
0
"
on
s
c
1on
+
f
conVflr ·~m to
to 0 .. 118 3, a t 2
log
t
g th~ f~
on
m0 .. 118.3 f ..
chlor·ide trode, on
po ti
a c 1
to be at
t-1on,
of
m
onm
=
o
r
1i.on by this mr~ t
t:ton lu t1on.. SUch a
e,
on ,
'l
'
!=·~ eon rl ttlt-
were
thfJ. on enaccura
£! by this nv~ tho d .• [j t
f" <>
on
,, E't CU!'V(~ g t..
tts ~12 mv,.
t.oc)
hical th c solutions.,
s century th:::: i ea of on of
t but tho
s doub un ti.l t of
t ::ts
probabl £;,
elec to
O.n f~ in
move
t t~uch a tion can·
c currr~:n t ~~~ tion.·::
ly
ting f'ini of icms, so
is essent:i
ion-1 on
H
on ..
ln rst
ca on t.hoory of e i srd;i on of strong
s, r i t the d Jd
be ticl<-:s. owlnv
t
hist: on it de~:H1i1'VI':':!d.
test step forward
th by Debye &
the ation now
i
ion:; beinl! char
'
ven ton .. Cons
. th
trihu
t of the
1
0 f},. Th"c> l:_,. tion for the ~1c t:i
t•
,, g EJ}C
ln
fA is a universal De by
as ( and I is th~ ionic s
sum
10111'
to tl compl1 ca, ted
not Vr:' the
in modern ~(~
c:.
' when they by their nllm(') ..
1 g to
idr~al h
is con th .. of ionn on., ton-our
, but it
(,
- and
i1~
t:lply:ing the concentration (in gm .. ions per 11 tre) ion in solution by the its valency.
i .. e .. I
the it1n cone en tion c ..
i
..
s for
t the ac t:l vi t.y ent of an ion s on
i th
a.n ion is a eorrect
a, is the t:t ve
the ions .. lt is the m~an dis
up to
eh an ion can proach another ion~ K is
tion-to so to
J I ,,
for 8, tt ven
..
f
1
+
t..
aeC is a constant th~
"' tion for
s CHbl to tho t
is
f
+
1 +
er
ts on it is n~c~J~
i ~~ no method it t
ce to OtflO!' e·.cti
ty
..
'
inons,
on cl ngf
lt is en tly a.ccura
'
solu
d 1s the
ty
the solu t:l on ..ion sti tu ted
ln m
ln t•ehlor1d~ el~ctrode can be obtain by an
tton method ..
obtain the valu(~,
it
irst1ve-~j r~ I'!:HH"rtm equ<:'ttion <Jr evalua.
acti
COf~!'fi ci en t th~e4
m. fs re~ul..
:1.' llZ - l o g m
ant
-~ 2 .. E'
f;! 01'1 dely for the
tion
o.fac
·vi tyy 0 m~~ 1$
a Sf~ns~~~, SlJ ·t:< ,, de vi ty co r:;.n t;~
is
.
th<) ~.t'
t find a tic sties
on g of the Debya-niickel
A~R. concentrc1ted acid was
diluted to a density of about
1.1 .. s was twice distill and constant boiling
point acid was
th .. 9 A
0 .. 1 HCl was
a t as
s was
ssberger e.nd Pro
po sium carbona
ec
ter
the method ofFoulk
stock solution of
up from this and s
by Kalthoff 10
chloricle ses.
A.R ..
ii.C£:3 tone was purito methods by
11
being th
..
'
it was dis tilled off and thE:~ flrst..
t
fractions Wt:!i:re dit:;carded .. ddletion
to stand over c cium chloride for S8Vq~r~1ldays .. The ace tone was thr~n dis tilled and the e fraction wa.s collected in thr:i! storage vessel,
ch was corkr3d and fi ttGd th a siphon a:nd calcium e tube .. A series of dfrt.1 ty determina.tions was
th
th
t.s
obtain-All
solu ons ware
up th
distill
1lle c f~
us
were
TIas
1 vrero 1 .. 8 ems .. f:lS~ 8.
OCH of tt 0<~11
..
em ~,
h (:.j
t de
was
!lten
et
heavy
area
1~5x
1.0em.,
t and Carapbol112 by imrner si on in a cold
sulphur! c acid - dichromate clr~tming xture prBpared
from C .. cals.. this was heated to 125°C .. and
allowed to cool to room temp,~rature.. Tlu~
trodes were thoroughly rin~ed in tap water and
boiled in distilled water .. The cleaning process
These were of the
ffJahn" typB as used by
nnd Beattie13) Allmand tJnd Hunter1
4,
a.ndothers .. · f11ey consis of
0.75
em. squares oftinum welded to pl~ltirmm wit·e wh.ich made
contact th m1:n·cury throu e.ss tubes .. Before
ting they were clean in the same manner a.s the
quinhydrone trodes~ Thoy 1'\fere plated with s!l ver
by deposition from cyanide solution (7 .. of silver
tra.te
+
10 gms. potassium cyani 200 c .. c .. o.fdistilled water), usin.e: a silver rod as anode, 2
milliamps electrode baing passed for 16 hours.
were then washed thoroughly in running tap
boiled several times in distllled water.. .Finally
th were chloridized anodically in 0 .. 1 N hydrochloric
17 ..
6 pr~r trod by
trades so
t on a occasions - to c
g in the - but inr1 cthnr
experienced., lt was found tha.t
cibil1 ty of the cells v1as obtained by allowing the
chlori ectrodes to set
ec once only ..
Silver chloride was by on in
a. fmlu tion boiling in
con-cen t ni c d~
m(::t.hod of !! t pb
12
tlS
..
ec ef> WE:;~re Weltert s dis lled \\1~1 until
ting.
Gas-heated watnr thermostats wsre
at 20°C;
25°C;
30°C;
th "·""' ... "-"'"
calibra against labora.tory s
were con troll by mercury-tolu~9n(~ re tors B.s .follows:
!
.01° at 20°C;!
.005° at25°C;
+
.01°
at 30°C;! ..
01° at40°C ..
ten ome th f:'ll
d Ins " t~
th a ~enr:Ji ti of 170
m.m ..
"!!
ton
tly st labora. tory s
sto on th f:),
ent an un 1 :it con::ds of a
on of
t
A th.
ace
solu
to d
an
i
s
was
sto
r~?move stc d I'E:llnOVe
di water .. Th~~ ni
t\VO portions of the
to the bubbling connec up th this
out
ly
ser
~
arm
CD to
the
stopco
45
for one
in po only
tes .. On being
through e pyrogallol
lu
through
so cell
solu
..
cells vtereso
t8 P:C t
Cf?ll tion
the c 1 .. ciert t t
n,
E.! 1'cell t.ion.,
through a s
D
on
r:H{U i 1 11:rr i um
1n
about 15 minu s to th~3 new t thf'l two
t
lver chloride
t
in casess and the
are the runs tbe cells
in a c d bath, in sarlH:! manner
were
in nn
stopcock C c ts of
1
was neces
ents byg to diffusion
or
trorl
could
et th comple•
c
1 ..
in thf~ tion/,
thad of dBterm:tninv
the
tfon
E + l:n
m
ln
fs not <:Jccura
..
'
tusion thf? activity
cinnt
ln
fIn
s A is t ch VIJ g,as
At 25°C
in on 1 1 "'tlC£1 2
c ..
A CElnA
=
0 .. 506 X(
)t
54
is di ~1C c cnns t; of waat
2is di AC c con~ t of thA tu:rA at
') at
0 r:'ra
T ·· is tho absolute
th"'.l ele.H~tric cons
QL 1 ""16
~e.r OJ..
i.
d is
71h04
73 71,.,37
,0?
0
b
not much i t was en
vent ob
1
51
17
.9783
*
)
~
oughout arf; th.ose
17
the
"'
...
65 .. 31~
..
m i
as Landolt Bornstein
e
constant B va BS as (
1
ts
solution at25°C.
is041329 X 1
t
valu8S of e cons t.an t
in
on is fJ the mean
a.nH1tor of 1.ons .. F:hle
cula for ~~ in Wli
00
-
60°c ..found that 1 t is a cons t ov,n· thi 2 range of
tur I' b
0 of 1,,.:-; A
on
0
J".) A,.
tion e.;m now be used to de
2k log m + 2k 1 +
In
various cons
thP. s
"
this on
1':
is ~ .. m. f.lver chlori
c~ctrode - but a flU:lnhyctron~~ elc:ct:.rode V;ras u , no
t
to obtain E, .:wtual re
was subtractedrto ten r~1.
this
t t. 15 •
c,.
volt ..,
.-" ..•
E
+
2k log m "';" 1 +ts ob at thf;'l four
!!! == 70 31~r - F. ( Quinhydron o)
25
11
03538
529
.,,0174.7
.. 3410
.. 331.6
.,J272
E: -- .. 6997 - E (Quinhytlrone)
m '"" l<J (Quinby drone)
.. 06980
.. 3415,.06421
,.)374
05603
.. .33091 1
..
..
538
.. ;osa
"
~0-17
..
1 ,.,
I
.36M
l
.,J?i/21
l .. (
.1;.0
ace
.. 2121
.. 21
.,2127
.. 2131
"21
wa
"
"
.. 2092
.,'?097
1 acetone - wa,
E ;: .6960 - fi: (Quinhydrone)
.. 06421 05603 .. 04811 03 02724 .. 02529 .. 01747 .01725 .. 008570 .. 006301 m .. 09280 .,06421 .. 05603 "0481 'l .. 01+443
OJ
.02724 .. 0171;7 ~008,570 006301E '( Quinhydrone)
E .. 3200 .. 3055 "'2927 2709 .. 2705 .. 2350 .. 2198 ( Quinhydrone) ,.J467
..
3l"3212 .. 3135 ,..3090
..
.2856 "..
.. 2102 3760 .. 3905·4251
.. 4255 .. 0.~762 E .. 3419 3 .. 3674 .. 3751 .3796
..
..
..
•
..
.. 20 .2053 .. 57 !>;w56 .. 2057 59 57 ... 2065..
ex ,. ,.2061~
.. 1975
.. 1 iit1
,.,1
.. 1
1.. 1
.. 1
.,1
.,1
.. 1
20°C. acetone -
water
.E - ·
,.70.34 ...
E (Quinhydrone)E ( Quinhydrone) E
--·
---~-~----·~~~·---.-.09870
.3679
.. 20.33
,.07504
.. .3550
.. 20.37
.. 05565
.. .3414
.. 20.35.. 05.3 .3392 .. ·2040
.-046.35 .<f> .332'7 .. 20.39
.. 03241
159
.2040.. 02653
.. )063 .. 3971 .. 2044.. 02533
.. 3043 .. 3991 .. 2041.01550 ,.2806
.. 422
.;2046.. 01194 •. 26S2 435 .. 2046
~.009504 ,.2575
-445
.2044.. 007243 #MJ+ 1 --459_. .20M;~
B:K
..
:.zoM~~---~-,-~,-~ ~-"~-·
-~---25°C .. 201: ace toni'?
-
w~t terE ;;:;~;
.. 6997
-
E ( Qtlinhydrone)-~'·-~·
_...__._.
11 g ( Ciuinhyd:rone) Ti' ...,_j'
.. 09870
.. .3648
.. 1999
.. 07504 .. 3520 .. 2002
.. 05565
.3379' .,J61
.. 2003.. 05358 .. .3360 ' .. 363
· .. ;woo
.. 04635
.. 3290 .. 2006.. 03241 • .3122 .. 2007
.. 02653
... 3027 .,.397 .. 2007.. 0253.3
... ,3001 .. 399~ .. 2012.. 01222
.. 2651
.. 431/: . ,.2012.. 01194
.2638 .. 435 .. 2014,.009504 .. 25.31
.Lt.4t:
.. 2010.0072l.r3 .. 2399
·A 59
~2011e)
m E ( Qttinhy clron e) ~
-
~~---~-.. 09€i70
.3621
$3
"1960.. 07504 .,3490
.3470
··1963.. 05 3.34:5 .. 3615 .. 1968
.. 04635 .. 3257 .. 3703 .. 1970
.. 03241
.,JOS5..
5 ,..1971.. 02653 .. 2991 .,.J9(..,9 .. 1969
.. 02533
.. 2966 .. 3994 "'1972.,0·1550 .. 2733 l!-237 .1976
.. 01194
.2601 <~4359 1971.. 009504,
..
.. ·t97200724.3
.. 2353
,.,4607
.. 1OX .. 1
.. ~."'-"'"""""""""'"''"-·-""""'..,._.._ __ ""~~"'~=·· .. - ---'• '-"'~.<--~---.... -~"-"""""'-•
40°C.,
8 ·- .. 6886 - E (Quinhydrone)
m g (Quinhyd1•one) r~
.09870
.. 3565 .. 3321 .. 18P'7.07504
..
.. 3454_,
.. 05565 .. 3284 .. .3602 "'1
.. 046.35
.. 3190
..
.. 1.. 0321+ 1 .. 3015 ..1897
.. 0~!653 .. 2920
...
.. 1~94.. 02533
.2891
.. 3995 .,1.. 015.50 .. 2649 .. 4237 .,1896
.,01222 .. 2521 .. 4.365 .. 1905
,._01194 .. 2512
.. 4374
.. 1901..
504 "239 5"'4491
.1903.. 00724,3
:.225.5 11904
ex
At
t BO 00
trnpola to ze:r.o m
off,.
e
c ..
136 vol vol25
c
2110 fl 13 ft.30
c.
2061}"
"'1 flGRAPH I.
of
+
.. 2volt
can
SG·f~n e I I,
theat
each tE:mpr~r~1. e on a f} ghte,
e ex on
to
be ou.tcon-Bu
s, r~o t~l~ly 2'1
found that
t
curve ..
tions, in
1
icul t - this b
g to con·-.
g the c ls e next,
culties, s
. constants
on,
s can tn be accura to
t 1n the 1
'
e against
..
vnl:uost th tho~o ob taJnod
0
25
c ..
Hovorkamen tal errol' of' so that valuffs
above rB al on owing tO
tly incorre-ct vnlu~J po al of th<1
quin-electrode It throughout tha. t
not in ac~to:rH~ Via X
not;h g ln thH
bt:}
t ssibility not
so is
to in to cern tion ..
in this lnboratory con
error" dun to byd c concentrations studi
d is 23
..
r';O
no
lost
tion is 11 to
of
r' t.ton
e;:ihlr~ OVAP
t1 ty a.
t
..
j8Ct
th a.
t
tlle
tic ally if the corrnc t value is tak.;m tho plot of
E' " values
''0 s t the molflli ty should b>3 a ho:rizon
" ca:n be seen from the graphs, t.ho linns
()
ed
do not slope nmch, showing thHt the volue of 4 .. 3 A a
-
s Th~1 obt,a1nf~d lowest line at 1~0 on Graph C. by the I u~e iEJ of the the plot ori ~rinal theckel expression for the activity coefficient ..
ln f
points lie rly on H s t line with a
di t from that
obtained above. Ho•,vever the values 1.n dilu solution
carry the burden of· the ·extrB.pola t1. on, t:lnd.
method, though not so complicated is obviously less
accurate thATl that using the full equation ..
In Table X are listed, for purposes of comparison,
the values of the standard potential of the silvm·-silVF!r
uhloride elBctrodA in various organic solvAn ter
0
can b8 I'(·~~1di sGen n 1 """'><j f:' no !'5 G
a be D
-
di t;" co.r.l fc t;~in t'
e C'~l. ittl ~·
"' some p st a
(JS tf; I al
'
in rwa
•
I l l trw in T<Ebl e X are
tt of nctric
constant .. of the ts on 8 1 t
fl-. tl
"'I:
!!
:1Htl!!
ffim
8mh
1-!1 ~Fl i ~t H~m
"·"
ii
e
' li·
~·· tt r~
2C
:':~ 1.~,
g
.:li
1!.
:~
00
~ It·! 4t:. l! ~E :m ~+l F: Lin ~ I (±= tt'
J·''
~ ... 1 ' ~ ~1~ :+I H+
+t
±, j . : ttn:
·~+tf!m ! 1 ct
ttl '
j 'I•
. IF' If li lt:; ff
-a
t:tls
E!:Iltlalittl
Ulr.:+ ~.I
tttw:lrn
TT+ '!-:' h;~ r: I< I: l:
m
1m
rm
ll ~j:i 1rti
00
!.!; 'J
,: il:r :::r b±
:
'Tf[
t:t It U: l!lk=
ff
• 2orkfi
f7 fie ~ 100mr
·l~·j
h
~
flm 1s
h~-~
ra:.
.111~
rl
ij f-Fmlf'ffi ~~ I;, IIf
Jmmn
~
Ll
ft< ~~1
~ fK ....~ Lm
h·1
~mtl!= ~Wli!
~ 1*1 t! 1hl;
tti
cl ~JL =:1ttv
'tf
tilmf
!h :M · 1·::1 ft.: :J)> l):f
Jli.
'l fT '-IF[1
j-.+ft R -:Hu l=l H1 ;
,,.. l:t !1,
I H-~
l:i--12
GRAPH III.
H-l tH ttt r-: ffl (.!11
g
HlH
i=lc· l:l:l
r'
IH+I i+J !.tt l Hllfl
m'w
ffi
It: ;l:l::!::tl4 ftj ! H 111
b· U1 lllf : l [1:. II
I•
Jr·
'II
'I ~ ~ ~
I+
en
m
~~It
w
1£Itt. ~~m lll I •
16
!~ 1::
~H·
ft
I!
ltfiD
It . ~~ If ~::}1'
1•1
thl
fi' IH [Ffl l:: ff lfl :ttm
'ti ~ ~* m:t ' :. . "";. '~~fT:, t:: I•:+h ~t 1\.,±~ '
h
1: ~Jiml~l ~)_~It! · ~ 6: 1.: - ~ ~-, ~
'
~r I>11' 11
itltiT
l'fffim ·.
W itt]') Hl N; It Jt::.f 'd!t;
!i!.
f: t ~th :ff
:ttl;;"'
lf: ~ ::1:1 H J..ffi i ~JJt.
j:i. l:lm~1:
fmll#
1
1'1 fTh" ~
n
fhl-:
1;"
. I
t:1
~: I ·::r' •+. l ;t~ '1 . ~ !"! - ~ K ~~
1·:+ [i. l ~ ..
ft
h n '
1m lt!
ltli
H~ s·~w
,-:rr
t. .·
u
t1 ll-l:t ~t:t
ttl
~ ~ ~~ [if ~J ~ ~ff fJmit
!~ .-i il~ . ~,'l'l
1)1 ~ ' t~:J W~D+l Itt· ::1,"'b!rlJ
, It~ ijII:
fi:ij ~~
w;r
~··-·. ~ ' ' ~1., ~: 'J
tl~ft
r: I :it~ I<~ J
1: ~hri. ~
lltlf
it '
§ i! q;+l' ~>r f!RJ :: futnf:fi
'
tl:b
~~:.~ 1 :~ ~mrr~ i"fl:t It
:1 to~
1
~, :1:1 !i .iii·~
H-l ~-... ~:
If
Jj~, .ti H Jr · . ' ,ij : n~
llil
~ ::~ 11tH tm
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.05 • 1
on
1 .. 21
'
tter m oc c
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mnnne:r but t
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t
wa
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1 oxan 1s
1
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In Graph Ill the for vr:u:ious
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!r; meant ica i on
c 11 t
fferrmc<."' i t c::m
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In
er to beothf'3r ts, ,, ,Cl 1n
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on a1 ' H st cone en tion of
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..
!H': t.i ty clr:!n ts
at
, .. o"·' c.
HJ~e..
I con rermltsin Column l WEn'e calcula by
the use eqtHD ti on:
fietmce as
· previously,. eemen t i but :t t
b in dilute solutions. ln Column l i are
sults obtained the full Debye t:ion ..
st term is se.me as a.bove, e second
1 s of tht3 same type as Hu 'B correc on the
ginal equ:q.tion - m is tho ty hyd.roch.lc)ri c
d and b is a cons t which T the
solute tempera fhe value us by ed
19 .
Thomas in 10-;t and 20% methanol-vva ter mixtures was 18 '
same as that used by Harned and E:'hle:::rs in pure water.
Since the valuCJs so calculated in methanol wate:r· mix
with the experimental values to
! ..
001 it was decidec1 to use the same value for b - .1366. As isthe a sa. tory
indeed, but it is not as good EHl thnt obtained by
b
t
,
t that thf'.>y a fur
(\n, as also
the
er"'"" 18 i n calculation of thn
lV
a1~e th8curves
obac ty
"' I l l the
I a.nd I I a.re tho sf~ obtai,ned by use
as
of
of th~J Deby tion .. t
is
a.c
en
hydrochlorice
ty on
v ..
poin rmtly onis
ccurve
the V<n~ia. on ent805
793
773
764
7
m f ( 20°C)
~
~o~t 1
.. 02 857
835
.-04 815
.. 05
80it-.. 06
792
07 785
778
.1 .
766
..,
__
1345829
S17
807
eo;
79Z 78J,. ::2 1nf (25°C) f
1 ace
nco B
(30° C)
I I I
899 871 841 ~03
798
r
- -
-~5~ 5
853 83S
828 3
807 791
793'
785
'774 760
?65 753
760
7l+8'71r0 738
The results of thfl
proving the posB1b1li t;y of making .,:wcurat.e electromo
force me.E',surenHm ts in sol v0n t ti. o.f hiF:.h d1 ec tri c
constant, such as ace mixtures, ha.ve t~lf'\o
the validity and us 0.ss of the various forms
of the Debye-Htickel tion .. it been
shovm to give an accura tr0 extrapolD. tion m~"l thod for
evcduation of s elec
e measuremHn ts . .,
form 1 t ts ac vi t.y co cion ts
whi crt th values ob
theory hav01 beBn proposeLl, most
t boing tht:l t of Gron'Nall, t.md
Thi :~ 1 s s. co:mpli cat. s on con
th ~ but 1 t been
th considerable success ov-er Ek
they con dor that :1 t ves
activity coefficients of hydroehloric a
ture range ot' 0° - 60°C. g
to
:! .. ;
in
fourth decimal place, tb values calculated
imon tally ..
advcmces apply to strong electrolytes in rly dilu
b to d~vclop "?let ul
be <::tble to cmnpu the e& of el0ctrolytia
tion s fron1 our· fundnmen id.rra.s about
electromotive :force of cells
thout june on type
Quinhydrone / HCl
I
.AgClI
J.gbeen made at ">50 "00
6~ - ' _,..'i '
0
40
c .. ,
1 ace res as t.
Vl'3r ch.lol'l d f;
by un ex
on.
those in
c solven
t:l vi ty coeff'i en
L.
2 .. Russ
s and Randall
Linhart
'7~ Lewis Randall
9,. Foulk and
worth
1 0.. Kol thoff and Sandell
12 ..
sbBrger Proskauer
t
Proc .• Am. Acad.. 259~ (190?)
physik. chem ..
AZ,
257 .. (1904)"T'hermodynam:i csn.. (1923) 0
41,, 1175 .. (1919)
.. z ..
~\ 1~5, 305,(192.3;,.
!!§., 1080, 1 09SL. ( 1924.)
J.A ..
c .. s..
1112. (1921).Phy .. z~~
93 ..
(15).
J.~A .. c ..
s ..
A.2..~ 1227.. (1923}"A tbook of Quanti t<1 ti ve
Irwrganic .P.ne.ly s•r,. (1 6).
c Solvents". (1935) ..
'1.3 .. · Jtacinnes and ttie J.. C,.S"' 1117 .. (1920)
·15" Harned and. Wright
16 ...
herlof
17 .. Wyman
19. rned and Thomas
20 .. .Fleysher
Phys ..
J ... A ..
c .. s ..
J .. A .. C,.f.L,
.. Soc. ~' 300 ..
4849 ..
(1 3) ..j!,
4125.(1932)-623.. (1930),.
2179.. (1 ) .,
(1936) ..
21.,.
" ('1929) "' A"'1?5, '?70
"'
J~A
..
c .. s
ltr46 .. (1 "'~ ... t;) 6) ..s, N .. Z .. ty. (19 ).,
~md Phy
..
358 .. ( 192S) ..?5
""¥' li,!!: s J 1666 .. (1 5) 9
..
J .. i~ ....
~. '·~· ~ 1491 .. (1939) ..ss~~ "l phy k ..
1£1,
254 ..L!,. 'II'
(1926) ..
san J .. A,.C -('1
1908.., (19,36) ~
..
\. ~.
"'' 45 .. (1920) ..
" J!JQ
..
tchard J., (1 t:-~'-." aL"~