CIESC Journal ›› 2020, Vol. 71 ›› Issue (S1): 7-14.DOI: 10.11949/0438-1157.20190440
• Thermodynamics • Previous Articles Next Articles
Pan LI(),Hui KONG,Zhuodong SONG,Zuoyi ZHANG,Yunfang WANG()
Received:
2019-04-26
Revised:
2019-07-28
Online:
2020-04-25
Published:
2020-04-25
Contact:
Yunfang WANG
通讯作者:
王云芳
作者简介:
李攀(1992—),男,硕士研究生,基金资助:
CLC Number:
Pan LI, Hui KONG, Zhuodong SONG, Zuoyi ZHANG, Yunfang WANG. Vapor-liquid equilibrium for methanol-formaldehyde-polyoxymethylene dimethyl ethers ternary system[J]. CIESC Journal, 2020, 71(S1): 7-14.
李攀, 孔慧, 宋卓栋, 张作毅, 王云芳. 甲醇-甲醛-聚甲氧基二甲醚三元体系汽液平衡[J]. 化工学报, 2020, 71(S1): 7-14.
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仪器名称 | 规格型号 | 生产厂家 |
---|---|---|
改进的Rose釜 | 玻璃制双循环 | 北京玻璃仪器加工厂 |
精密温度计 | 1/20 | 北京玻璃研究院 |
电子分析天平 | AL204 | METTLER TOLEDO(上海)有限公司 |
气相色谱仪 | 安捷伦GC7890A | 美国安捷伦 |
均相反应器 | KLJX-12A | 烟台科立化工设备有限公司 |
电压调节器 | TDGC3-500W | 上海征西电气科技有限公司 |
烘箱 | DHG-9053A | 上海浦东荣丰科学仪器有限公司 |
Table 1 Experimental instruments
仪器名称 | 规格型号 | 生产厂家 |
---|---|---|
改进的Rose釜 | 玻璃制双循环 | 北京玻璃仪器加工厂 |
精密温度计 | 1/20 | 北京玻璃研究院 |
电子分析天平 | AL204 | METTLER TOLEDO(上海)有限公司 |
气相色谱仪 | 安捷伦GC7890A | 美国安捷伦 |
均相反应器 | KLJX-12A | 烟台科立化工设备有限公司 |
电压调节器 | TDGC3-500W | 上海征西电气科技有限公司 |
烘箱 | DHG-9053A | 上海浦东荣丰科学仪器有限公司 |
试剂名称 | 规格 | 标牌纯度/%(质量) | 生产厂家 | GC纯度/%(质量) |
---|---|---|---|---|
甲醇 | 分析纯 | ≥99.5 | 国药集团 | 99.81 |
PODE1 | 分析纯 | ≥99.7 | 国药集团 | 99.83 |
PODE2 | — | — | 自制 | 99.49 |
多聚甲醛 | — | — | 自制 | 99.43 |
Table 2 Experimental reagents
试剂名称 | 规格 | 标牌纯度/%(质量) | 生产厂家 | GC纯度/%(质量) |
---|---|---|---|---|
甲醇 | 分析纯 | ≥99.5 | 国药集团 | 99.81 |
PODE1 | 分析纯 | ≥99.7 | 国药集团 | 99.83 |
PODE2 | — | — | 自制 | 99.49 |
多聚甲醛 | — | — | 自制 | 99.43 |
No. | Texp/K | x1,exp | x2,exp | y1,exp | y2,exp | Test/K | y1,est | y2,est | ΔT/K | Δy1 | Δy2 |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 368.79 | 0.0305 | 0.9441 | 0.0619 | 0.9031 | 368.77 | 0.0532 | 0.9171 | -0.03 | -0.0088 | 0.0140 |
2 | 366.99 | 0.0425 | 0.9327 | 0.0996 | 0.8694 | 367.37 | 0.0778 | 0.8966 | 0.38 | -0.0219 | 0.0272 |
3 | 365.83 | 0.0548 | 0.9200 | 0.1308 | 0.8400 | 366.02 | 0.1024 | 0.8739 | 0.20 | -0.0284 | 0.0339 |
4 | 364.33 | 0.0689 | 0.9035 | 0.1623 | 0.8102 | 364.92 | 0.1262 | 0.8502 | 0.59 | -0.0361 | 0.0399 |
5 | 362.00 | 0.0846 | 0.8900 | 0.2015 | 0.7748 | 362.56 | 0.1673 | 0.8127 | 0.56 | -0.0342 | 0.0379 |
6 | 360.43 | 0.0985 | 0.8746 | 0.2358 | 0.7413 | 361.10 | 0.1936 | 0.7857 | 0.67 | -0.0421 | 0.0444 |
7 | 359.54 | 0.1070 | 0.8654 | 0.2543 | 0.7227 | 360.21 | 0.2100 | 0.7690 | 0.67 | -0.0443 | 0.0464 |
8 | 357.36 | 0.1350 | 0.8372 | 0.2937 | 0.6846 | 357.28 | 0.2683 | 0.7116 | -0.08 | -0.0255 | 0.0269 |
9 | 355.44 | 0.1548 | 0.8167 | 0.3330 | 0.6479 | 355.22 | 0.3103 | 0.6704 | -0.22 | -0.0226 | 0.0224 |
10 | 352.66 | 0.1959 | 0.7752 | 0.3934 | 0.5875 | 351.99 | 0.3797 | 0.6004 | -0.67 | -0.0137 | 0.0129 |
11 | 351.32 | 0.2143 | 0.7589 | 0.4264 | 0.5567 | 350.30 | 0.4164 | 0.5657 | -1.01 | -0.0100 | 0.0090 |
12 | 350.62 | 0.2237 | 0.7474 | 0.4416 | 0.5429 | 349.71 | 0.4319 | 0.5509 | -0.91 | -0.0097 | 0.0080 |
13 | 350.16 | 0.2338 | 0.7373 | 0.4529 | 0.5312 | 349.18 | 0.4444 | 0.5381 | -0.98 | -0.0086 | 0.0069 |
14 | 348.16 | 0.2699 | 0.7023 | 0.4931 | 0.4925 | 347.07 | 0.4945 | 0.4894 | -1.10 | 0.0014 | -0.0030 |
15 | 347.44 | 0.2881 | 0.6852 | 0.5087 | 0.4763 | 346.30 | 0.5132 | 0.4705 | -1.14 | 0.0045 | -0.0058 |
16 | 346.45 | 0.3197 | 0.6542 | 0.5328 | 0.4533 | 345.11 | 0.5467 | 0.4381 | -1.34 | 0.0139 | -0.0152 |
17 | 369.39 | 0.0279 | 0.9420 | 0.0476 | 0.9003 | 368.91 | 0.0439 | 0.9162 | -0.48 | -0.0037 | 0.0160 |
18 | 368.79 | 0.0388 | 0.9280 | 0.0657 | 0.8867 | 368.37 | 0.0587 | 0.9015 | -0.42 | -0.0070 | 0.0148 |
19 | 367.37 | 0.0511 | 0.9110 | 0.0959 | 0.8565 | 367.63 | 0.0733 | 0.8839 | 0.27 | -0.0226 | 0.0273 |
20 | 364.11 | 0.0824 | 0.8754 | 0.1618 | 0.7934 | 365.28 | 0.1194 | 0.8405 | 1.17 | -0.0424 | 0.0471 |
21 | 362.15 | 0.1054 | 0.8515 | 0.2048 | 0.7549 | 363.33 | 0.1585 | 0.8046 | 1.17 | -0.0463 | 0.0498 |
22 | 359.54 | 0.1348 | 0.8219 | 0.2652 | 0.7016 | 360.11 | 0.2214 | 0.7476 | 0.57 | -0.0438 | 0.0460 |
23 | 357.24 | 0.1613 | 0.7949 | 0.3156 | 0.6531 | 357.62 | 0.2700 | 0.6986 | 0.38 | -0.0456 | 0.0455 |
24 | 356.03 | 0.1815 | 0.7759 | 0.3449 | 0.6257 | 355.95 | 0.3084 | 0.6621 | -0.08 | -0.0365 | 0.0365 |
25 | 354.74 | 0.2000 | 0.7558 | 0.3694 | 0.5984 | 354.66 | 0.3346 | 0.6335 | -0.08 | -0.0349 | 0.0351 |
26 | 353.86 | 0.2137 | 0.7419 | 0.3885 | 0.5837 | 353.64 | 0.3608 | 0.6094 | -0.23 | -0.0278 | 0.0257 |
Table 3 Simulation results for methanol-formaldehyde-PODE2 ternary system using NRTL model
No. | Texp/K | x1,exp | x2,exp | y1,exp | y2,exp | Test/K | y1,est | y2,est | ΔT/K | Δy1 | Δy2 |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 368.79 | 0.0305 | 0.9441 | 0.0619 | 0.9031 | 368.77 | 0.0532 | 0.9171 | -0.03 | -0.0088 | 0.0140 |
2 | 366.99 | 0.0425 | 0.9327 | 0.0996 | 0.8694 | 367.37 | 0.0778 | 0.8966 | 0.38 | -0.0219 | 0.0272 |
3 | 365.83 | 0.0548 | 0.9200 | 0.1308 | 0.8400 | 366.02 | 0.1024 | 0.8739 | 0.20 | -0.0284 | 0.0339 |
4 | 364.33 | 0.0689 | 0.9035 | 0.1623 | 0.8102 | 364.92 | 0.1262 | 0.8502 | 0.59 | -0.0361 | 0.0399 |
5 | 362.00 | 0.0846 | 0.8900 | 0.2015 | 0.7748 | 362.56 | 0.1673 | 0.8127 | 0.56 | -0.0342 | 0.0379 |
6 | 360.43 | 0.0985 | 0.8746 | 0.2358 | 0.7413 | 361.10 | 0.1936 | 0.7857 | 0.67 | -0.0421 | 0.0444 |
7 | 359.54 | 0.1070 | 0.8654 | 0.2543 | 0.7227 | 360.21 | 0.2100 | 0.7690 | 0.67 | -0.0443 | 0.0464 |
8 | 357.36 | 0.1350 | 0.8372 | 0.2937 | 0.6846 | 357.28 | 0.2683 | 0.7116 | -0.08 | -0.0255 | 0.0269 |
9 | 355.44 | 0.1548 | 0.8167 | 0.3330 | 0.6479 | 355.22 | 0.3103 | 0.6704 | -0.22 | -0.0226 | 0.0224 |
10 | 352.66 | 0.1959 | 0.7752 | 0.3934 | 0.5875 | 351.99 | 0.3797 | 0.6004 | -0.67 | -0.0137 | 0.0129 |
11 | 351.32 | 0.2143 | 0.7589 | 0.4264 | 0.5567 | 350.30 | 0.4164 | 0.5657 | -1.01 | -0.0100 | 0.0090 |
12 | 350.62 | 0.2237 | 0.7474 | 0.4416 | 0.5429 | 349.71 | 0.4319 | 0.5509 | -0.91 | -0.0097 | 0.0080 |
13 | 350.16 | 0.2338 | 0.7373 | 0.4529 | 0.5312 | 349.18 | 0.4444 | 0.5381 | -0.98 | -0.0086 | 0.0069 |
14 | 348.16 | 0.2699 | 0.7023 | 0.4931 | 0.4925 | 347.07 | 0.4945 | 0.4894 | -1.10 | 0.0014 | -0.0030 |
15 | 347.44 | 0.2881 | 0.6852 | 0.5087 | 0.4763 | 346.30 | 0.5132 | 0.4705 | -1.14 | 0.0045 | -0.0058 |
16 | 346.45 | 0.3197 | 0.6542 | 0.5328 | 0.4533 | 345.11 | 0.5467 | 0.4381 | -1.34 | 0.0139 | -0.0152 |
17 | 369.39 | 0.0279 | 0.9420 | 0.0476 | 0.9003 | 368.91 | 0.0439 | 0.9162 | -0.48 | -0.0037 | 0.0160 |
18 | 368.79 | 0.0388 | 0.9280 | 0.0657 | 0.8867 | 368.37 | 0.0587 | 0.9015 | -0.42 | -0.0070 | 0.0148 |
19 | 367.37 | 0.0511 | 0.9110 | 0.0959 | 0.8565 | 367.63 | 0.0733 | 0.8839 | 0.27 | -0.0226 | 0.0273 |
20 | 364.11 | 0.0824 | 0.8754 | 0.1618 | 0.7934 | 365.28 | 0.1194 | 0.8405 | 1.17 | -0.0424 | 0.0471 |
21 | 362.15 | 0.1054 | 0.8515 | 0.2048 | 0.7549 | 363.33 | 0.1585 | 0.8046 | 1.17 | -0.0463 | 0.0498 |
22 | 359.54 | 0.1348 | 0.8219 | 0.2652 | 0.7016 | 360.11 | 0.2214 | 0.7476 | 0.57 | -0.0438 | 0.0460 |
23 | 357.24 | 0.1613 | 0.7949 | 0.3156 | 0.6531 | 357.62 | 0.2700 | 0.6986 | 0.38 | -0.0456 | 0.0455 |
24 | 356.03 | 0.1815 | 0.7759 | 0.3449 | 0.6257 | 355.95 | 0.3084 | 0.6621 | -0.08 | -0.0365 | 0.0365 |
25 | 354.74 | 0.2000 | 0.7558 | 0.3694 | 0.5984 | 354.66 | 0.3346 | 0.6335 | -0.08 | -0.0349 | 0.0351 |
26 | 353.86 | 0.2137 | 0.7419 | 0.3885 | 0.5837 | 353.64 | 0.3608 | 0.6094 | -0.23 | -0.0278 | 0.0257 |
模型方程 | 平衡温度/K | 甲醇气相浓度 | PODE2气相浓度 | |||
---|---|---|---|---|---|---|
平均 绝对偏差 | 最大 绝对偏差 | 平均 绝对偏差 | 最大 绝对偏差 | 平均 绝对偏差 | 最大 绝对偏差 | |
Wilson | 0.96 | 2.32 | 0.0240 | 0.0584 | 0.0235 | 0.0583 |
NRTL | 1.08 | 2.74 | 0.0246 | 0.0552 | 0.0237 | 0.0554 |
UNIQUAC | 0.95 | 2.30 | 0.0243 | 0.0646 | 0.0238 | 0.0597 |
Table 4 Comparison of simulation results for ternary system using three models
模型方程 | 平衡温度/K | 甲醇气相浓度 | PODE2气相浓度 | |||
---|---|---|---|---|---|---|
平均 绝对偏差 | 最大 绝对偏差 | 平均 绝对偏差 | 最大 绝对偏差 | 平均 绝对偏差 | 最大 绝对偏差 | |
Wilson | 0.96 | 2.32 | 0.0240 | 0.0584 | 0.0235 | 0.0583 |
NRTL | 1.08 | 2.74 | 0.0246 | 0.0552 | 0.0237 | 0.0554 |
UNIQUAC | 0.95 | 2.30 | 0.0243 | 0.0646 | 0.0238 | 0.0597 |
方程 | 体系 | aij | aji | bij | bji | cij |
---|---|---|---|---|---|---|
Wilson | 甲醇-甲醛 | 20.7721585 | 6.5176 | -1275.03466 | -875.896626 | 0 |
甲醇-PODE2 | 9.41749887 | 29.1792322 | -6476.11242 | -10000 | 0 | |
甲醛-PODE2 | -0.043122698 | 30.4888446 | -370.184734 | -10000 | 0 | |
NRTL | 甲醇-甲醛 | -27.5292688 | -22.8532058 | 10000 | 6862.58382 | 0.3 |
甲醇-PODE2 | -9.68694324 | 3.15389659 | 3321.78975 | -813.924515 | 0.3 | |
甲醛-PODE2 | -29.817718 | -3.97475484 | 10000 | 1420.3292 | 0.3 | |
UNIQUAC | 甲醇-甲醛 | 27.8659376 | 17.0564607 | -10000 | -5171.74989 | 0 |
甲醇-PODE2 | -2.88017095 | 7.4251551 | 1021.65838 | -2793.07369 | 0 | |
甲醛-PODE2 | 28.3279998 | -0.18584951 | -10000 | 291.98213 | 0 |
Table 5 Binary interaction parameters for methanol - formaldehyde -PODE2 ternary system
方程 | 体系 | aij | aji | bij | bji | cij |
---|---|---|---|---|---|---|
Wilson | 甲醇-甲醛 | 20.7721585 | 6.5176 | -1275.03466 | -875.896626 | 0 |
甲醇-PODE2 | 9.41749887 | 29.1792322 | -6476.11242 | -10000 | 0 | |
甲醛-PODE2 | -0.043122698 | 30.4888446 | -370.184734 | -10000 | 0 | |
NRTL | 甲醇-甲醛 | -27.5292688 | -22.8532058 | 10000 | 6862.58382 | 0.3 |
甲醇-PODE2 | -9.68694324 | 3.15389659 | 3321.78975 | -813.924515 | 0.3 | |
甲醛-PODE2 | -29.817718 | -3.97475484 | 10000 | 1420.3292 | 0.3 | |
UNIQUAC | 甲醇-甲醛 | 27.8659376 | 17.0564607 | -10000 | -5171.74989 | 0 |
甲醇-PODE2 | -2.88017095 | 7.4251551 | 1021.65838 | -2793.07369 | 0 | |
甲醛-PODE2 | 28.3279998 | -0.18584951 | -10000 | 291.98213 | 0 |
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