CIESC Journal ›› 2019, Vol. 70 ›› Issue (S2): 37-43.DOI: 10.11949/0438-1157.20190596
• Thermodynamics • Previous Articles Next Articles
Qingguo ZHAO(),Jianru FENG,Yuting WU,Hang GUO
Received:
2019-05-30
Revised:
2019-06-04
Online:
2019-09-06
Published:
2019-09-06
Contact:
Qingguo ZHAO
通讯作者:
赵庆国
作者简介:
赵庆国(1962—),男,博士,副教授,基金资助:
CLC Number:
Qingguo ZHAO,Jianru FENG,Yuting WU,Hang GUO. Densities of component salts in low-temperature eutectic region[J]. CIESC Journal, 2019, 70(S2): 37-43.
赵庆国,冯建茹,吴玉庭,郭航. 混合熔融盐低温共熔区的密度计算[J]. 化工学报, 2019, 70(S2): 37-43.
熔融盐 | 温度/℃ | 密度/(kg/m3) | 三种关系模型 | 误差/% | 文献 | ||
---|---|---|---|---|---|---|---|
线性关系 | 二次多项式 | 指数关系 | |||||
NaNO3 | 318 | 1904 | ρ=2118.037-0.6722464t ρ=2109.104- 0.6255731t-0.00006018318t 2 ρ=1910.156exp(-0.0003620212(t-310)) | 0.0138 | 0.00452 | 0.0332 | [ |
344 | 18877 | -0.0115 | -0.0114 | -0.0112 | |||
360 | 1876 | 0.00150 | 0.00520 | -0.00580 | |||
378 | 1864 | -0.0039 | 0.0021 | -0.0157 | |||
402 | 1848 | -0.0111 | -0.0055 | -0.0225 | |||
415 | 1839 | 0.00300 | 0.00690 | -0.00490 | |||
458 | 1810 | 0.00820 | -0.00180 | 0.0279 | |||
最大相对误差 | 0.0138 | 0.0114 | 0.0332 | ||||
NaNO3 | 342 | 1893 | ρ=2133.843-0.7040474t ρ=2173.215-0.8966219+0.0002319207t 2 ρ=1916.719exp(-0.0003821566(t-310)) | -0.019 | 0.0134 | -0.000646 | [ |
400 | 1852 | -0.018 | -0.0480 | -0.0351 | |||
433 | 1828 | 0.0311 | 0.00230 | 0.0158 | |||
452 | 1814 | 0.0734 | 0.0578 | 0.0661 | |||
491 | 1789 | -0.0670 | -0.0250 | -0.0403 | |||
最大相对误差 | 0.0734 | 0.0578 | 0.0661 | ||||
NaNO3 | 324 | 1903 | ρ=2108.804-0.6316582t ρ=1872.441+0.6904648t-0.001837628t 2 ρ=1913.176exp(-0.0003358244(t-310)) | 0.0603 | 0.0128 | 0.0632 | [ |
333 | 1899 | -0.028 | -0.021 | -0.0287 | |||
353 | 1887 | -0.062 | 0.0101 | -0.0664 | |||
393 | 1860 | 0.0302 | -0.001 | 0.0315 | |||
最大相对误差 | 0.0302 | -0.001 | 0.0315 |
Table 1 Error analysis of density datasets for NaNO3
熔融盐 | 温度/℃ | 密度/(kg/m3) | 三种关系模型 | 误差/% | 文献 | ||
---|---|---|---|---|---|---|---|
线性关系 | 二次多项式 | 指数关系 | |||||
NaNO3 | 318 | 1904 | ρ=2118.037-0.6722464t ρ=2109.104- 0.6255731t-0.00006018318t 2 ρ=1910.156exp(-0.0003620212(t-310)) | 0.0138 | 0.00452 | 0.0332 | [ |
344 | 18877 | -0.0115 | -0.0114 | -0.0112 | |||
360 | 1876 | 0.00150 | 0.00520 | -0.00580 | |||
378 | 1864 | -0.0039 | 0.0021 | -0.0157 | |||
402 | 1848 | -0.0111 | -0.0055 | -0.0225 | |||
415 | 1839 | 0.00300 | 0.00690 | -0.00490 | |||
458 | 1810 | 0.00820 | -0.00180 | 0.0279 | |||
最大相对误差 | 0.0138 | 0.0114 | 0.0332 | ||||
NaNO3 | 342 | 1893 | ρ=2133.843-0.7040474t ρ=2173.215-0.8966219+0.0002319207t 2 ρ=1916.719exp(-0.0003821566(t-310)) | -0.019 | 0.0134 | -0.000646 | [ |
400 | 1852 | -0.018 | -0.0480 | -0.0351 | |||
433 | 1828 | 0.0311 | 0.00230 | 0.0158 | |||
452 | 1814 | 0.0734 | 0.0578 | 0.0661 | |||
491 | 1789 | -0.0670 | -0.0250 | -0.0403 | |||
最大相对误差 | 0.0734 | 0.0578 | 0.0661 | ||||
NaNO3 | 324 | 1903 | ρ=2108.804-0.6316582t ρ=1872.441+0.6904648t-0.001837628t 2 ρ=1913.176exp(-0.0003358244(t-310)) | 0.0603 | 0.0128 | 0.0632 | [ |
333 | 1899 | -0.028 | -0.021 | -0.0287 | |||
353 | 1887 | -0.062 | 0.0101 | -0.0664 | |||
393 | 1860 | 0.0302 | -0.001 | 0.0315 | |||
最大相对误差 | 0.0302 | -0.001 | 0.0315 |
熔融盐 | 温度 范围/℃ | 三种关系模型 | 误差/% | 文献 | ||
---|---|---|---|---|---|---|
线性 关系 | 二次多项式关系 | 指数 关系 | ||||
NaNO3 | 318~492 | ρ=2125.627- 0.6867394t ρ=2114.155- 0.6281429t- 0.00007355967t 2 ρ=1913.406exp(- 0.0003709027(t- 310)) | 0.229 | 0.219 | 0.247 | [ |
KNO3 | 344~612 | ρ=2117.172- 0.7295381t ρ=2118.253- 0.7343305t+5.177395×10- 6t 2 ρ=1871.359exp(- 4.101913×10- 4(t- 339)) | 0.297 | 0.298 | 0.325 | [ |
NaCl | 876~139 | ρ=1922.625- 0.4693520t ρ=1953.603- 0.5265682t+0.00002569246t 2 ρ=1550.341exp(- 0.0003357776(t- 804)) | 0.298 | 0.261 | 0.271 | [ |
KBr | 740~930 | ρ=2737.040- 0.8297332t ρ=2811.161- 1.007957t+0.0001065906t 2 ρ=2129.187exp(- 0.0004061447(t- 734)) | 0.035 | 0.018 | 0.022 | [ |
NaBr | 735~945 | ρ=2951.834- 0.8168944t ρ=2998.893- 0.9286811t+0.00006601913t 2 ρ=2342.509exp(- 0.0003614983(t- 747)) | 0.023 | 0.021 | 0.025 | [ |
CsBr | 637~860 | ρ=3910.889- 1.223433t ρ=3925.138- 1.261939t+0.00002578241t 2 ρ=3134.661exp(- 0.0004083698(t- 636)) | 0.020 | 0.019 | 0.074 | [ |
KI | 682~903 | ρ=3098.547- 0.9557355t ρ=3123.435- 1.018949t+0.00003990059t 2 ρ=2449.417exp(- 0.0004083295(t- 681)) | 0.028 | 0.022 | 0.074 | [ |
Table 2 Error analysis of density datasets for some pure salts
熔融盐 | 温度 范围/℃ | 三种关系模型 | 误差/% | 文献 | ||
---|---|---|---|---|---|---|
线性 关系 | 二次多项式关系 | 指数 关系 | ||||
NaNO3 | 318~492 | ρ=2125.627- 0.6867394t ρ=2114.155- 0.6281429t- 0.00007355967t 2 ρ=1913.406exp(- 0.0003709027(t- 310)) | 0.229 | 0.219 | 0.247 | [ |
KNO3 | 344~612 | ρ=2117.172- 0.7295381t ρ=2118.253- 0.7343305t+5.177395×10- 6t 2 ρ=1871.359exp(- 4.101913×10- 4(t- 339)) | 0.297 | 0.298 | 0.325 | [ |
NaCl | 876~139 | ρ=1922.625- 0.4693520t ρ=1953.603- 0.5265682t+0.00002569246t 2 ρ=1550.341exp(- 0.0003357776(t- 804)) | 0.298 | 0.261 | 0.271 | [ |
KBr | 740~930 | ρ=2737.040- 0.8297332t ρ=2811.161- 1.007957t+0.0001065906t 2 ρ=2129.187exp(- 0.0004061447(t- 734)) | 0.035 | 0.018 | 0.022 | [ |
NaBr | 735~945 | ρ=2951.834- 0.8168944t ρ=2998.893- 0.9286811t+0.00006601913t 2 ρ=2342.509exp(- 0.0003614983(t- 747)) | 0.023 | 0.021 | 0.025 | [ |
CsBr | 637~860 | ρ=3910.889- 1.223433t ρ=3925.138- 1.261939t+0.00002578241t 2 ρ=3134.661exp(- 0.0004083698(t- 636)) | 0.020 | 0.019 | 0.074 | [ |
KI | 682~903 | ρ=3098.547- 0.9557355t ρ=3123.435- 1.018949t+0.00003990059t 2 ρ=2449.417exp(- 0.0004083295(t- 681)) | 0.028 | 0.022 | 0.074 | [ |
混合熔融盐 | 纯质盐最大相对误差/% | 混合熔融盐最大相对误差/% | 文献 | |
---|---|---|---|---|
45.15%KCl-54.85%KI | KCl | 0.0571 | 0.60 | [ |
KI | 0.0224 | |||
50%NaNO3-50%KNO3 | NaNO3 | 0.236 | 0.24 | [ |
KNO3 | 0.159 | |||
41.2%KCl-58.8%LiCl | KCl | 0.0571 | 0.11 | [ |
LiCl | 0.0153 |
Table 3 Maximum relative error of pure salt and mixed molten salt in densities
混合熔融盐 | 纯质盐最大相对误差/% | 混合熔融盐最大相对误差/% | 文献 | |
---|---|---|---|---|
45.15%KCl-54.85%KI | KCl | 0.0571 | 0.60 | [ |
KI | 0.0224 | |||
50%NaNO3-50%KNO3 | NaNO3 | 0.236 | 0.24 | [ |
KNO3 | 0.159 | |||
41.2%KCl-58.8%LiCl | KCl | 0.0571 | 0.11 | [ |
LiCl | 0.0153 |
混合熔融盐 | 纯质盐最大 相对误差/% | 混合熔融盐最大相对误差/% | 文献 | |
---|---|---|---|---|
7%NaNO3-44%KNO3-49%NaNO2 | NaNO3 | 0.21 | 0.20 | [ |
KNO3 | 0.29 | |||
NaNO2 | 0.18 | |||
63%CaCl2-27%NaCl-10%KCl | CaCl | 0.214 | 0.62 | [ |
NaCl | 0.11 | |||
KCl | 0.516 | |||
57.5%LiCl-13.3%KCl -29.2%CsCl | LiCl | 0.153 | 0.80 | [ |
KCl | 0.571 | |||
CsCl | 0.332 |
Table 4 Maximum relative error of pure salt and ternary mixed molten salt in densities
混合熔融盐 | 纯质盐最大 相对误差/% | 混合熔融盐最大相对误差/% | 文献 | |
---|---|---|---|---|
7%NaNO3-44%KNO3-49%NaNO2 | NaNO3 | 0.21 | 0.20 | [ |
KNO3 | 0.29 | |||
NaNO2 | 0.18 | |||
63%CaCl2-27%NaCl-10%KCl | CaCl | 0.214 | 0.62 | [ |
NaCl | 0.11 | |||
KCl | 0.516 | |||
57.5%LiCl-13.3%KCl -29.2%CsCl | LiCl | 0.153 | 0.80 | [ |
KCl | 0.571 | |||
CsCl | 0.332 |
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