Inorganic Chemicals Industry ›› 2021, Vol. 53 ›› Issue (10): 41-46.doi: 10.19964/j.issn.1006-4990.2021-0037
• Research & Development • Previous Articles Next Articles
Study on nucleation kinetics of sodium sulfate-water system based on inverse solubility
Wang Yanfei(
),Jiao Jian,Jiang Shuwan,Xu Shijie()
- Tianjin Key Laboratory of Brine Chemical Engineering and Ecological Utilization of Resources,College of Chemical Engineering and Materials,Tianjin University of Science and Technology,Tianjin 300457,China
-
Received:2021-01-18Online:2021-10-10Published:2021-10-11 -
Contact:Xu Shijie E-mail:wangyanfei@tust.edu.cn;xushijie@tust.edu.cn
CLC Number:
Cite this article
Wang Yanfei,Jiao Jian,Jiang Shuwan,Xu Shijie. Study on nucleation kinetics of sodium sulfate-water system based on inverse solubility[J]. Inorganic Chemicals Industry, 2021, 53(10): 41-46.
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Fig.1
FBRM data at the nucleation point"
Fig.2
Solubility data fitted by Van′t Hoff equation"
Table 1
Metastable zone data of sodium sulfate at different saturation temperature and different heating rates"
| R/（K·h-1） | ΔT/K | R/（K·h-1） | ΔT/K | R/（K·h-1） | ΔT/K | R/（K·h-1） | ΔT/K | ||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| T0=308.15 K | T0=318.15 K | T0=323.15 K | T0=336.15 K | ||||||||
| 8.4 | 7.0 | 5.8 | 5.0 | 2.5 | 3.0 | 12.0 | 2.0 | ||||
| 16.7 | 10.0 | 9.7 | 6.0 | 7.7 | 4.0 | 16.7 | 2.5 | ||||
| 24.6 | 13.0 | 21.8 | 8.0 | 16.4 | 6.0 | 26.7 | 4.0 | ||||
| 32.9 | 17.0 | 32.7 | 12.0 | 24.0 | 8.0 | 30.0 | 5.0 | ||||
Fig.3
The relationship between metastable zone and heating rate and saturation temperature"
Table 2
Nucleation parameters obtained by fitting Nyvlt′s model at different saturation temperature"
| T/K | 斜率（1/m） | 成核级数（m） | R2 |
|---|---|---|---|
| 308.15 | 0.636 | 1.573 | 0.98 |
| 318.15 | 0.475 | 2.105 | 0.96 |
| 323.15 | 0.423 | 2.362 | 0.96 |
| 336.15 | 0.979 | 1.021 | 0.98 |
Table 3
Nucleation kinetic parameters"
| T0/K | γ/ （mJ·m-2） | f/A | f/1027 | A/1022 （个数·m-3·s-1） |
|---|---|---|---|---|
| 308.15 | 0.89 | 24 485.29 | 2.08 | 8.48 |
| 318.15 | 0.78 | 21 502.85 | 1.99 | 9.27 |
| 323.15 | 0.58 | 31 854.51 | 1.95 | 6.12 |
| 336.15 | 0.33 | 31 888.91 | 1.87 | 5.85 |
Table 4
Nucleation kinetic parameters at different saturation temperature"
| R/ （K·h-1） | γ/ （mJ·m-2） | f/A | f/1027 | A/1024 （个数·m-3·s-1） |
|---|---|---|---|---|
| 7 | 0.18 | 265.21 | 2.08 | 7.83 |
| 13 | 0.20 | 268.07 | 2.08 | 7.75 |
| 23 | 0.28 | 268.05 | 2.08 | 7.75 |
| 30 | 0.31 | 273.27 | 2.08 | 7.60 |
Fig.4
The relationship between the heating rate and the metastable zone at the given saturation temperature"
Fig.5
The relationship between saturation temperature and metastable zone at the given heating rate"
Fig.6
The relationship between surface tension and saturation temperature"
Fig.7
The relationship between critical size and instantaneous driving force at different saturation temperature"
Fig.8
The relationship between the critical Gibbs free energy and the chemical potential at the corresponding heating rate and different saturation temperature"
Fig.9
The relationship between the critical size and the chemical potential at different saturation temperature and corresponding heating rate（a）;The relationship between the critical Gibbs free energy and the chemical potential at different saturation temperature and corresponding heating rate（b）"
Fig.10
The relationship between the critical Gibbs free energy and the critical size at different saturation temperature and corresponding heating rate"
Fig.11
The relationship between chemical potential and nucleation rate at different saturation temperature and corresponding heating rate"
Table 5
Values of chemical potential at different saturation temperature and different degree of superheat"
| ΔT/ K | Δμ/10-22 （J·mol-1） | ΔT/ K | Δμ/10-22 （J·mol-1） | ΔT/ K | Δμ/10-22 （J·mol-1） | ΔT/ K | Δμ/10-22 （J·mol-1） | ||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| T0=308.15K | T0=318.15K | T0=323.15K | T0=336.15K | ||||||||
| 7 | 1.55 | 5 | 0.80 | 3 | 0.47 | 2.0 | 0.30 | ||||
| 10 | 1.65 | 6 | 0.96 | 4 | 0.63 | 2.5 | 0.38 | ||||
| 13 | 2.14 | 8 | 1.28 | 6 | 0.94 | 4.0 | 0.60 | ||||
| 17 | 2.80 | 12 | 1.92 | 8 | 1.26 | 5.0 | 0.75 | ||||
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