3.1 Measurements of the latent heat of ice
The reliability of the dissociation heat measurements was demonstrated by measuring the latent heat of ice and comparing the obtained values with the well-acknowledged literature data [18]. The temperature control in the measurements of the latent heat of ice was the same as that in the measurements of the dissociation heat of tetrabutylammonium acetate hydrates. The result of measurements of the latent heat of ice were presented in Table 2. ΔHd stands for the latent heat of ice. ΔHd,ave is the average value of the five times measurements. The expanded uncertainties (k = 2) were calculated from the five times measurements. The latent heat of ice obtained in these measurements agreed with the literature data [18] within the expanded uncertainty.
Run No.
|
ΔHd / kJཥkg− 1 1
|
ΔHd,ave / kJཥkg− 1 2
|
Table 2
Measurements of the dissociation heat of ice.
1
|
331.2
|
334.5 ± 4.0
|
2
|
336.5
|
3
|
338.0
|
4
|
337.7
|
5
|
329.3
|
Literature data [17]
|
333.427 ± 0.2
|
-
|
1 ΔHd indicates the latent heat of ice.
2 ΔHd,ave is the average value of the five times measurements. The expanded uncertainty was calculated from the five times measurements (k = 2).
3.2 Dissociation heats of tetrabutylammonium acetate hydrates
The dissociation heats of tetrabutylammonium acetate hydrates were measured at 10 mass fractions as presented in Table 3. wAce and xAce represent the mass fraction and the mole fraction of tetrabutylammonium acetate aqueous solutions. ΔHd,Ace means the dissociation heat of tetrabutylammonium acetate hydrates. The expanded uncertainties of the dissociation heats were estimated from the at least four times measurements. The largest value of the dissociation heat of tetrabutylammonium acetate hydrates was 212.9 ± 0.9 kJ/kg at wAce = 0.36. As the mass fractions of tetrabutylammonium acetate aqueous solutions was approaching to 0.36, the values of the dissociation heat increased. The dissociation heat was previously reported to be 208 kJ/kg at wAce = 0.351 [24]. The dissociation heat obtained in this study agreed with that in the previous study within the expanded uncertainty (k = 2).
wAce 1
|
xAce 2
|
ΔHd,Ace / kJཥkg− 1 3
|
U (ΔHd,Ace) 3
|
Table 3
Dissociation heats of tetrabutylammonium acetate hydrates at 10 mass fractions.
0.20
|
0.0147
|
111.2
|
1.0
|
0.30
|
0.0250
|
155.2
|
2.9
|
0.35
|
0.0312
|
208.4
|
1.7
|
0.36
|
0.0326
|
212.9
|
0.9
|
0.37
|
0.0339
|
208.1
|
5.7
|
0.38
|
0.0354
|
205.3
|
1.7
|
0.39
|
0.0369
|
203.7
|
1.8
|
0.40
|
0.0384
|
189.2
|
5.1
|
0.45
|
0.0468
|
149.1
|
4.1
|
0.50
|
0.0566
|
105.4
|
1.5
|
1 wAce indicates the mass fraction of the samples of tetrabutylammonium acetate. U (wAce) was ± 5.0 × 10− 4. (k = 2).
2 xAce expresses the mole fraction of the samples of tetrabutylammonium acetate. U (xAce) was ± 4.0 × 10− 5 (k = 2).
3 ΔHd,Ace indicates the dissociation heat of tetrabutylammonium acetate hydrates.
4 U (ΔHd,Ace) was estimated from the at least 4 times measurements (k = 2).
The heat flow rates of tetrabutylammonium acetate hydrates at wAce ≤ 0.37 and at wAce ≥ 0.38 were displayed in Figs. 2 and 3. The depth of the heat flow peaks increased by increasing the mass fraction of the samples in Fig. 2. The peaks moved to the higher temperature with the increase in the mass fraction of the samples at wAce ≤ 0.37. The peaks were detected at the highest temperature at 0.35 ≤ wAce ≤ 0.37. The depth of the peaks decreased by increasing the mass fraction of the samples in Fig. 3. Previously, the highest equilibrium temperature was reported at 14.8 ± 0.1 ˚C at wAce = 0.358 [17], which was the congruent point of tetrabutylammonium acetate hydrate. The peaks would move with the change in the equilibrium temperature of the hydrates at each mass fraction, and the area of the peak would become largest near the congruent point.
The temperature at which the peaks were detected was approximately 1˚C higher than the equilibrium temperature reported in the previous study [17]. The same phenomenon was observed in the measurements of the dissociation heat of other hydrates by the same method, and the reason why the peak was detected at higher temperature had been discussed in the previous studies [6, 23]: The difference in the temperature at which the hydrates dissociated may be caused by the difference in the temperature increasing rate between this study (2 ˚C/min) and the previous study (0.5 ˚C/h [17]).
3.3 Dissociation heats of tetrabutylammonium hydroxide hydrates
The dissociation heats of tetrabutylammonium hydroxide hydrates at 16 mass fractions were shown in Table 4. wOH is the mass fraction of the samples of tetrabutylammonium hydroxide, while xOH expresses the mole fraction of the samples of tetrabutylammonium hydroxide. ΔHd,OH indicates the dissociation heat of tetrabutylammonium hydroxide hydrates. The largest dissociation heat of tetrabutylammonium hydroxide hydrates was 200.4 ± 2.2 kJ/kg at wOH = 0.33. Tetrabutylammonium hydroxide – water system formed the two hydrate structures in the previous work [1]: the more stable one (wOH = 0.337) melted at 27.4 ˚C and the other (wOH = 0.308) melted at 19.0 ˚C. The values of the dissociation heat in Table 4 contained the heat flow peaks of the two types of hydrate. Since the heat flow peak of tetrabutylammonium hydroxide hydrate would be largest near wOH = 0.337, which was the congruent point, the experimental results agreed with the previous study within the expanded uncertainties of the measurements.
Table 4
Dissociation heats of tetrabutylammonium hydroxide hydrates at 16 mass fractions.
wOH 1
|
xOH 2
|
ΔHd,OH / kJཥkg− 1 3
|
U (ΔHd,OH) 4
|
0.20
|
0.0171
|
98.5
|
8.1
|
0.28
|
0.0263
|
164.0
|
6.0
|
0.29
|
0.0276
|
171.3
|
4.7
|
0.30
|
0.0289
|
186.0
|
3.2
|
0.31
|
0.0303
|
192.0
|
1.5
|
0.32
|
0.0316
|
198.8
|
1.3
|
0.33
|
0.0331
|
200.4
|
2.2
|
0.34
|
0.0345
|
195.0
|
3.6
|
0.35
|
0.0360
|
184.3
|
8.8
|
0.36
|
0.0376
|
176.4
|
3.2
|
0.37
|
0.0392
|
167.0
|
3.7
|
0.38
|
0.0408
|
158.4
|
1.2
|
0.39
|
0.0425
|
150.4
|
1.4
|
0.40
|
0.0443
|
142.5
|
1.7
|
0.45
|
0.0538
|
100.8
|
4.7
|
0.50
|
0.0649
|
68.1
|
1.3
|
1 wOH stands for the mass fraction of the samples of tetrabutylammonium hydroxide. U (wAce) was ± 1.0 × 10− 3. (k = 2).
2 wOH means the mole fraction of the samples of tetrabutylammonium hydroxide. U (xAce) was ± 3.0 × 10− 4 (k = 2).
3 ΔHd,OH indicates the latent heat of tetrabutylammonium hydroxide hydrates.
4 U (ΔHd,OH) was estimated from the at least four times measurements (k = 2).
The heat flow rates obtained in this study were displayed in Figs. 4 and 5. As shown in Fig. 4, the two types of heat flow peak were confirmed at wOH = 0.20, wOH = 0.30, and wOH = 0.32; the one located at 20 ˚C and the other was obtained at 30˚C. In the preceding study [1], the two types of hydrate dissociated at 27.4 ˚C at wOH = 0.337 and 19.0 ˚C at wOH = 0.308, respectively. The composition of hydrates would change with the change in the concentration of the samples of tetrabutylammonium hydroxide aqueous solutions. The peaks at 20 ˚C and 30 ˚C moved to the higher temperature side with increasing mass fraction at wOH ≤ 0.34. The areas of the peaks decreased with the increase in the mass fraction of the samples at wOH ≥ 0.35 in Fig. 5. The peaks at wOH ≥ 0.35 moved to the lower temperature side with increasing mass fraction. The tendency of the change in the location at which the hydrates dissociated agreed with the equilibrium temperature of tetrabutylammonium hydroxide hydrates investigated in the preceding study [13]. The two peaks at wOH = 0.34, wOH = 0.35, and wOH = 0.37 overlapped at 30 ˚C as presented in Figs. 4 and 5. The hydrate different from the two types of hydrate reported in the previous study would form. The reason why the temperature at which the peaks were observed was higher than the equilibrium temperature in the literature was discussed in Section 3.2.
3.4 Evaluations of the dissociation heats of tetrabutylammonium acetate and tetrabutylammonium hydroxide hydrates.
The dissociation heat of tetrabutylammonium acetate hydrates was compared with that of other ionic semiclathrate hydrates as presented in Table 5. Tetrabutylphosphonium bromide hydrates had the largest dissociation heat of all the hydrates which had been studied as thermal energy storage media for general air conditioning. The experimental results indicated that tetrabutylammonium acetate hydrates have the large dissociation heat comparable to tetrabutylphosphonium bromide hydrates. Tetrabutylphosphonium bromide is a kind of halogen compound. Considering environmental impact and corrosion of the process in the thermal energy storage system, it is desirable to use non-halogen compounds. Tetrabutylphosphonium butylate hydrates was known to have the largest dissociation heat among all the hydrates formed by non-halogen compounds. As shown in Table 5, the measurements in the present study demonstrated that the dissociation heat of tetrabutylammonium acetate hydrate is larger than that of tetrabutylphosphonium butylate hydrates, which indicated that tetrabutylammonium acetate hydrates had a great potential as thermal energy storage media.
Tetrabutylammonium hydroxide hydrates dissociated at higher temperature than the other ionic semiclathrate hydrates which had been studied as thermal energy storage media. The studies of thermophysical properties of ionic semiclathrate hydrates which dissociated at the temperatures exceeding 25 ˚C were extremely limited, while thermal energy storage media for cooling lithium-ion batteries require the temperature range of 25 ˚C to 40˚C. Tetrabutylammonium fluoride hydrates were the only ionic semiclathrate hydrate which dissociated at the temperatures exceeding 25˚C as indicated in Table 5. Tetrabutylammonium hydroxide hydrates may be one of the hopeful thermal energy storage media for cooling lithium-ion batteries.
Table 5
Dissociation heats of ionic semiclathrate hydrates investigated in the previous studies.
Guest compounds
|
Dissociation heat / kJ kg− 1
|
Equilibrium temperature / ˚C
|
Tetrabutylammonium acetate
|
212.9 ± 0.9 (this study)
|
14.8 [17]
|
Tetrabutylammonium hydroxide
|
200.4 ± 2.2 (this study)
|
27.0 [13]
|
Tetrabutylphosphonium bromide
|
214 ± 5 [19]
|
9.3 [19]
|
Tetrabutylphosphoium butylate
|
204 ± 5 [20]
|
13.9 [20]
|
Tetrabutylammonium fluoride
|
204.8 ± 2.3 [21]
|
27.2 [22]
|