2
СO
3
·10H
2
O – CH
3
COONa·3H
2
O
The phase diagram in the system of crystalline hydrates Na
2
CO
3
·10H
2
O – CH
3
COONa·3H
2
O is constructed
with methods of thermal analysis, this diagram is of the eutectic type. Eutectic composition is 66 wt.%
Na
2
CO
3
·10H
2
O + 34 wt.% CH
3
COONa·3H
2
O. Eutectic temperature is of –11±0.7 °C. The enthalpy of melt-
ing and crystallization of mixtures relatively to liquidus and solidus lines were measured, which were used for
specify the type of phase diagrams. As the eutectic composition is approached, the reduction of supercooling
was established. The mixture of eutectic composition was proposed for using as a heat storage material.
Key words: crystalline hydrates, sodium acetate trihydrate, sodium carbonate ten hydrate, thermal analysis,
melting, crystallization, phase diagram, liquidus, solidus, eutectic supercooling, enthalpy of phase transition,
Tamman triangle, heat storage material.
Crystalline hydrates of sodium acetate trihydrate (AH-3) and sodium carbonate ten hydrates (KH-10)
are widely used as a heat storage material (HSM) based on the phase transitions [1–7]. In this case we can
predict the compositions, the most satisfying the requirements for HSM. Information about this diagram is
not available in the literature. So basic aim of this paper is construction of phase diagrammes of crystalline
hydrates КН-10 – АН-3, also investigation of super cooling processes and enthalpy of phase transition of
mixtures as basic parameters.
Experimental part
Mixtures containing 0 (I), 10 (II), 20 (III), 30 (IV), 34 (V), 40 (VI), 50 (VII), 60 (VIII), 70 (IX), 80 (X),
90 (XI), 95 (XII), 97 (XIII), 100 (XIV) wt. % AH-3 were investigated. These mixtures were prepared from
components of KH-10 and AH-3 (model is «pure»). Additional investigations for compositions different
from the eutectic at 0.5 % were carried out in the vicinity of the eutectic composition. Samples were pre-
pared according to procedure [6–7]. All samples having the same weight of 0.1 g, were placed in a test tube
with ground-glass lid. Heating and cooling of the samples were performed by a resistance furnace in a tem-
perature range from –25 °C to +80 °C. For this the furnace was placed in a freezer operating at a temperature
of –30 °C. Heating and cooling rates were chosen approximately the same and ranged from 0.1–0.2 K/sec.
Liquidus and solidus temperatures of mixtures were mainly determined by the cyclic thermal analysis
(CTA) in coordinates «temperature–time», also endo- and exothermic effects were determined by differential
thermal analysis (DTA). All mixtures in the system «KH-10 – AH-3» were investigated under conditions in
which the individual crystalline hydrates were enough super cooling. These conditions were achieved after
heating mixtures of 10÷12 degrees above the corresponding liquidus temperatures. Recording of DTA and
CTA curves, also heating-cooling processes was made using meter-regulator TRM-202 from «OVEN» firm
and PC. Samples of each composition were prepared not less than 3 times, the number of thermal cycles of
each composition consists of at least 10.
The statistical processing was carried out, and the average values of liquidus (T
L
), solidus (T
S
) and min-
imum temperatures (T
L
min
) in cooling at the beginning of crystallization, crystallization enthalpy relatively
liquidus (ΔH
L
) and solidus (ΔH
S
) temperatures were found on the basis of these experiments.
Results and discussion
In a first step the samples were heated and cooled in order to determine the liquidus (T
L
) and the solidus
(T
S
) temperatures. Results of mean values of T
L
and T
S
are shown in Table 1.
Construction of phase diagram …
Серия «Химия». № 3(75)/2014
27
T a b l e 1
Composition of samples and their corresponding average liquidus temperature (T
L
),
the solidus temperature (T
S
), the minimum temperature (T
min
), cooling ΔT
L
-
and ΔT
S
-
relative
to temperature T
L
and T
S
in system of crystalline hydrates «Na
2
СO
3
·10H
2
O – CH
3
COONa·3H
2
O»
Sample №
Amount of АН-3
in КН-10, wt.%
<
T
L
>
<
T
L
min
>
<Δ
T
L
-
> <
T
S
> <
T
S
min
> <Δ
T
S
-
>
Δ
H
L
Δ
H
S
ºC
kJ/kg
kJ/kg
I 0.0
32.5
19
13.5
286
0
II 10.0
20.6
9
11.6 –11.2 –14.0 2.8 247 38
III 20.0 11.2
1
10.2 –11.0 –13.8 2.8 225 59
IV 30.0 –2.5
–9
6.5 –10.8 –14.2 3.4 152 131
V(E) 34.0 –11.5
–14
2.5 –11.0 –14.0 3.0 124 124
VI 40.0 7.1
–3
10.1 –10.0 –14.0 4.0 130 151
VII 50.0 19.5
8
11.5 –10.5 –14.1 3.6 156 124
VIII 60.0 31.0
18
13.0 –11.0 –14.2 3.2 184 95
IX 70.0 38.0
22
16.0 –11.5 –14.0 2.5 200 78
X 80.0
47.0
28
19.0 –11.3 –14.0 2.7 218 59
XI 90.0 54.0
31
23.0 –11.7 –13.8 2.1 245 31
XII 95.0 57.5
22.3
35.2 –10.5 –13.5 3.0 247 28
XIII 97.0 57.8
18
39.8 –11.0 –13.5 2.5 263 12
XIV 100 58.0
–20
78.0
274
0
The liquidus and solidus lines for the system Na
2
CO
3
·10H
2
O — CH
3
COONa·3H
2
O were constructed on
evidence derived from Table 1. Obtained phase diagram is was eutectic type diagram (Fig. 1).
A
= 58 ºC;
B
= –75;
C
= 104;
D
= –223 for
x
>
x
E
Figure 1. Phase diagram of crystalline hydrates «Na
2
СO
3
·10H
2
O – CH
3
COONa·3H
2
O»
Eutectic composition consists of ~ 66 wt.% KH-10 + 34 wt.% AH-3. Line corresponding to the temper-
atures T
S
, is practically a straight line, corresponding to an average value –11.0 ± 0.7 ºC.
Obtained liquidus lines were fairly well described by the equation:
T
L
= A + Bx + Cx
2
+ Dx
3
, (1)
where A = 32.5 ºC; B = –160; C = 532; D = –1294.7 for x < x
E
.
The enthalpy of melting ΔH
LS
and crystallization ΔH
SL
were measured by DTA. As has already been in-
timated that the measured values of melting enthalpy of pure crystalline hydrates KH-10 (286 kJ/kg) and
AH-3 (274 kJ/kg) were close to the literature data: it is 286.6 kJ/kg for КН-10 [8, 9], and 280.0 kJ/kg for
AH-3 [6].
Bifurcate of exothermic effects of crystallization of mixtures relative to the lines of the liquidus T
L
and
solidus T
S
was established. DTA-curves of compositions with 10 wt.% (II) and 70 wt.% (IX) were given as
Sh.K.Amerkhanova, V.D.Alexandrov, А.
28
examples (Fig. 2). Each curve has tw
the crystallization occurs in the regio
Investigations have shown that
enthalpy of crystallization, i.e. ΔH
L
ΔH
LS
≈ ΔH
SL
.
а
Figure 2. DTA-curves of m
Such bifurcating of thermal ef
take place in two stages: the first st
the hypoeutectic region, and AH-3 c
Then this process is terminate
And the residues of these molecule
hydrates in the form of eutectic whe
Average values ΔH
L
and ΔH
S
s
tion according to Tamman triangle m
Figure 3. Dependence of th
The correlation of eutectic com
seen from figure 3. Stability of the t
sample of eutectic composition and
The results showed some decr
value with further thermal cycling u
and ~5 % for AN-3, and ~ 3 % for t
be due to partial dehydration of aqu
that the eutectic composition compa
Yu.Sobolev
Вестник Караг
wo peaks of exo-effects, and the main proportion
on near the liquidus temperature.
t the sum of the enthalpies ΔH
L
and ΔH
S
approxi
+ Δ H
S
≈ ΔH
SL
, which in turn is equal to the me
b
melting and crystallization for compositions (II) — а a
ffects ΔH
LS
on ΔH
L
and ΔH
S
may mean that the
tage is relative to liquidus line when crystals of
crystals in the hypereutectic region.
ed due to depletion of solutions in molecules Na
es in their own water of crystallization form fine
en approaching the eutectic temperature.
show in table. Data of ΔH
S
were used for refinem
method [8] (Fig. 3).
he enthalpy ΔH
S
of components’ concentration in the K
mposition with data shown in the diagram (Fig. 1)
thermal effects values ΔH
LS
and ΔH
SL
to prolong
pure crystalline hydrates KH-10 and AH-3 was c
rease in value of ΔH
SL
after 10 cycles initially, a
up to 100 thermal cycles. The decrease value of Δ
the eutectic composition. The decrease of enthalp
ueous solutions with repeated thermal cycling. It
ares favorably to some crystalline hydrates.
гандинского университета
n of the thermal effect in
imately equal to the total
elting enthalpy ΔH
LS
, i.e.
and (IX) — b
crystallization mixtures
KH-10 begin to form in
a
2
CO
3
and CH
3
COONa.
e mixed crystals of both
ment of eutectic composi-
KH-10 – AH-3
in the range of 2–3 % is
ged thermal cycling on a
hecked.
and then almost constant
ΔH
SL
is ~17 % for KN-10
py of crystallization may
is observed, in this case,
Серия «Химия». № 3(75)/2014
At the third stage the precrysta
mixtures) and the melting temperatu
peratures in hypothermia field T
L
min
CTA method. The average values <
liquidus line ΔT
L
-
= T
L
– T
L
min
and
<Δ T
L
-
> from concentration of x in th
Figure 4. Dependence
The figure shows, that as the m
larly reduce: in hypoeutectic field fr
tic field from ~78 °C (for pure trihy
mixtures the hypothermia ΔT
S
-
wit
<Δ T
S
-
>
ranged 3.5 ± 0.5 ºC and did
vides a comparative graphs of dep
compositions: (I), (V) and (XV).
Figure 5. Dependence of
t
As seen in Figure 4, the eutec
overheating, which makes it more at
The crystal structure of the te
Both crystalline hydrates have mon
Constr
allization hypothermia Δ T
L
of samples relatively l
ure of pure crystalline hydrates was studied. For
n
, in which the spontaneous crystallization was
< T
L
min
> are shown in Table. It also gives the hy
solidus line ΔT
S
-
= T
S
– T
S
min
. Dependence of th
he mixture is shown in Figure 4.
of average hypothermia of mixture from concentration
mixture composition to approach the eutectic (poin
rom ~13 °C (for pure decahydrate of sodium carb
ydrate of sodium acetate) until ~3÷4 ºC in eutect
th respect to solidus temperature T
S
were recor
dn’t depend on prior overheating of the liquid p
endence of hydrothermia from pre-overheating
f hidrotermia from overheating for three compositions
the eutectic composition (V), AN-3 (XV)
ctic composition has the lowest hydrothermia w
ttractive for use as HAM, acting at low temperatu
Result discussion
st substances (Fig. 6) is considered for the inter
noclinic type of crystalline lattices [10–11]. Acco
ruction of phase diagram …
29
liquidus temperature (for
this, the minimum tem-
began, was recorded by
ypothermia relatively to
he average hypothermia
n of AN-3
nt E), hypothermia regu-
bonate), and hypereutec-
tic. In addition to all the
rded. Average values of
phase ΔT
+
. Figure 5 pro-
of liquid phase to three
s KH-10 (I),
which doesn’t depend on
ures.
rpretation of the results.
ording to classical ideas,
Sh.K.Amerkhanova, V.D.Alexandrov, А.Yu.Sobolev
30
Вестник Карагандинского университета
mixtures of similar substances should lead to the formation of a continuous series of solid solutions. Howev-
er, in this case two similar crystalline hydrates form mixtures of eutectic type.
а b
Figure 6. Crystal lattices Na
2
СO
3
·10H
2
O (
a
) and CH
3
COONa·3H
2
O (
b
)
Consider the lattice parameters of the crystalline hydrates KH-10 and AN-3 are given in Table 2.
From data shown in Table 2, the difference between the lattice parameters of the KH-10 and AN-3 is
not so great. For example, the volume of cells unit difference is only 4.6 %. Same syngony of crystals with
similar ratios of parameters of lattices at best could lead to the formation of limited solubility of the compo-
nents.
T a b l e 2
Crystal lattice parameters of decahydrate sodium carbonate and trihydrate sodium acetate [10–11]
Lattice type
Coordination number
a
, Å
b
, Å
c
, Å
β, °
V, Å
3
КН-10 Monoclinic
4
12,83
9,03
13,44
123
1305,31
АН-3 Monoclinic
4
12,34
10,45
10,41
111,65
1247,8
Parameters differences
4,0 %
13,6 %
29,1 %
10,2 %
4,6 %
The possible reason of formation eutectic mixtures in the system of crystalline hydrates Na
2
СO
3
·10H
2
O
and CH
3
COONa·3H
2
O can be a significant difference between the structure of molecules, the content of
crystallization water in corresponding hydrates, molecular configuration Na
2
СO
3
·10H
2
O and
CH
3
COONa·3H
2
O and quantities of hydrogen bonds. You can see this if you look at the projections of the
lattices of these materials (Fig. 7).
а b
Figure 7. Projections of the crystal lattices on the
x
–
y
plane of decahydrate sodium carbonate (
a
)
and trihydrate sodium acetate (
b
). The dotted lines show the hydrogen bonds [10–11]
Construction of phase diagram …
Серия «Химия». № 3(75)/2014
31
By incongruent melting of KH-10 and AN-3, there are saturated salt solution Na
2
СO
3
and CH
3
COONa
in their own crystallization water, i.e. their dehydration is by scheme CH
3
COONa·3H
2
O → CH
3
COONa +
+ 3H
2
O and Na
2
СO
3
·10H
2
O → Na
2
СO
3
+ 10H
2
O. Upon cooling these solutions occurs a reverse process —
the water molecules attaching to the respective ions. For solutions in hypoeutectic region dominated Na
2
СO
3
molecules, so KN-10 crystals begin to form at the liquidus temperature, and in hypereutectic region AN-3
crystals form, because of the predominance of CH
3
COONa molecules. At the same molecules of H
2
O in re-
spective crystals form the complex of hydrogen bonds (see dashed lines in Fig. 7). For example, acetate ions
form clusters (in the x–y plane, four ion into cluster), and methyl groups are oriented inside the cluster, but
carboxyl groups are to outward.
With regard to crystallization water in turn to molecular weights of hydrates M and components: anhy-
drous salts of М
1
and water М
2
. Their comparison shows (Table 3) that the water amount in the CN-10 is
more than water amount of the AN-3 is approximately in 2.6 times. The relative water content in the AN-3 is
~39 %, and RH 10 is ~63 %. The good correlation is observed when comparing these dates with the percent-
age of AN-3 and KH-10 in the eutectic (~34 wt.% AN-3 + 66 wt.% KH-10).
T a b l e 3
Molecular weights of components of crystalline hydrates, g/mol
Crystalline hydrates
M of hydrate M
1
of dry salt
M
2
of water
М
1
/М
М
2
/М
М
1
/М
2
Na
2
СO
3
·10H
2
O 286
106
180
0,37
0,63
1,70
CH
3
COONa·3H
2
O 136 82 54
0,61
0,39
0,66
Eutectic of 66 wt.%
KH-10 + 34 wt.% AN-3
236 98,84
137,16 0,42 0,58 1,40
Having a large amount of total crystallization water in mixtures of KH-10 and AN-3 in the range to
~80 %, which facilitates mobility of molecules of Na
2
СO
3
, CH
3
COONa and H
2
O, their association and for-
mation of crystal hydrates, which helps to reduce hypothermia. For example, in the eutectic water content is
58 % in a mixture with crystalline hydrates, and subcooling reaches a minimum value (~3÷4 K). At high
concentrations (> 80 %) of AN-3 in the system, the mobility of molecules (especially CH
3
COONa) in solu-
tion with a low water content creates steric interferences with respect to crystallization and sharply increases
supercooling of these solutions, including clean trihydrate sodium acetate.
Conclusion
The phase diagram of two crystalline hydrates: carbonate and sodium acetate is constructed by methods
of thermal analysis. The thermal effects of melting and crystallization, and pre-crystallization supercooling
of mixtures in the system were investigated. Based on the analysis of the obtained results it is proposed to
use a mixture of eutectic composition (66 wt.% of Sodium carbonate + 34 wt % of sodium acetate) as a heat
accumulating material.
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