Antoine's equation is a correlation for vapor pressures based on the Clausius- Clapeyron equation. It has been used over limited temperature ranges. 2. B T + C 273.15 where T is in K and Pvap is in bar. Use Page A55 of Poling et al. for the coefficients needed for ethylbenzene. a equation. log10 Pvap = A - Calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with Antoine's b For the above, experimental values are 0.13332 bar at 347.25 K (Chaiyavech and van Winkle 1959) and 3.325 bar at 460 K (Ambrose et al. 1967), respectively. For each temperature, report the relative deviation using the following equation: C Pcalc - Pexp Pexp - × 100[%] A more elaborate method is a modified Wagner equation Inpap = (at + br¹.5 + ct².5 + dt5)/Tr where Pap is the reduced vapor pressure (pvap/Pc), Tr is the reduced temperature, and is (1 - Tr). calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with the Wagner equation. Based on the experimental data given in part b, report the relative deviation for each data point
Antoine's equation is a correlation for vapor pressures based on the Clausius- Clapeyron equation. It has been used over limited temperature ranges. 2. B T + C 273.15 where T is in K and Pvap is in bar. Use Page A55 of Poling et al. for the coefficients needed for ethylbenzene. a equation. log10 Pvap = A - Calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with Antoine's b For the above, experimental values are 0.13332 bar at 347.25 K (Chaiyavech and van Winkle 1959) and 3.325 bar at 460 K (Ambrose et al. 1967), respectively. For each temperature, report the relative deviation using the following equation: C Pcalc - Pexp Pexp - × 100[%] A more elaborate method is a modified Wagner equation Inpap = (at + br¹.5 + ct².5 + dt5)/Tr where Pap is the reduced vapor pressure (pvap/Pc), Tr is the reduced temperature, and is (1 - Tr). calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with the Wagner equation. Based on the experimental data given in part b, report the relative deviation for each data point
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
![Antoine's equation is a correlation for vapor pressures based on the Clausius-
Clapeyron equation. It has been used over limited temperature ranges.
2.
B
T + C 273.15
where T is in K and Pvap is in bar. Use Page A55 of Poling et al. for the coefficients needed for
ethylbenzene.
a
equation.
log₁0 Pvap = A
Calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with Antoine's
b
For the above, experimental values are 0.13332 bar at 347.25 K (Chaiyavech and
van Winkle 1959) and 3.325 bar at 460 K (Ambrose et al. 1967), respectively. For each
temperature, report the relative deviation using the following equation:
C
Pcalc - Pexp
Pexp
A more elaborate method is a modified Wagner equation
(at + br¹.5 + ct2.5 + dt5)/Tr
Inpvap
Pr
where Pap is the reduced vapor pressure (Pap/Pc), Tr is the reduced temperature, and ʼn is (1
- Tr). calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with the Wagner
equation. Based on the experimental data given in part b, report the relative deviation for each
data point.
× 100[%]
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bff009d-aaf3-47b4-b7cc-e6ab46669ea0%2F2b4e66a8-8825-4bb8-97ea-379403a1f545%2Fsm57wjb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Antoine's equation is a correlation for vapor pressures based on the Clausius-
Clapeyron equation. It has been used over limited temperature ranges.
2.
B
T + C 273.15
where T is in K and Pvap is in bar. Use Page A55 of Poling et al. for the coefficients needed for
ethylbenzene.
a
equation.
log₁0 Pvap = A
Calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with Antoine's
b
For the above, experimental values are 0.13332 bar at 347.25 K (Chaiyavech and
van Winkle 1959) and 3.325 bar at 460 K (Ambrose et al. 1967), respectively. For each
temperature, report the relative deviation using the following equation:
C
Pcalc - Pexp
Pexp
A more elaborate method is a modified Wagner equation
(at + br¹.5 + ct2.5 + dt5)/Tr
Inpvap
Pr
where Pap is the reduced vapor pressure (Pap/Pc), Tr is the reduced temperature, and ʼn is (1
- Tr). calculate the vapor pressure of ethylbenzene at 347.25 K and 460 K with the Wagner
equation. Based on the experimental data given in part b, report the relative deviation for each
data point.
× 100[%]
=
Transcribed Image Text:A.55
Section D Vapor Pressure Correlations Parameters (Continued)
No. Formula
223 C,H,O
224 CH,,O
225 CH₁40
227 CH,,O
228 CH₁0
232 C₂F16
233 C,H,F,
234 C₂H₂
235 C,H,O
236 C₂H₂O
237 C₂H₂O
238 C,H,O
239 C,H,N
240 C₂H₂N
241 C₂H₂N
242 C₂H₂N
243 C₂H₂N
244 C₂H₂N
245 C₂H₁₂0₂
246 C₂H₁4
247 C₂H₁4
248 C₂H₁4
249 C₂H₁4
250 C₂H₁4
251 C₂H₁4
260 C₂H₁6
261 C₂H₁6
262 C₂H₁6
263 C₂H16
264 C₂H16
265 C₂H₁6
266 C₂H₁6
267 C₂H₁6
268 C₂H₁60
272 C₂H₂O
273 C₂H10
274 C₂H₁0
275 C₂H₁0
276 CH₁0
3-hexanol
287 C₂H16
288 CH ₁6
289 CH₁60₂
2-methyl-1-pentanol
2-methyl-2-pentanol
4-methyl-1-pentanol
4-methyl-2-pentanol
hexadecylfluoroheptane
(perfluoroheptane)
pentafluorotoluene
toluene
Name
benzyl alcohol
2-methylphenol (o-cresol)
3-methylphenol (m-cresol)
4-methylphenol (p-cresol)
2,3-dimethylpyridine (2,3 lutidine)
2,4-dimethylpyridine (2,4 lutidine)
2,5-dimethylpyridine (2,5 lutidine)
2,6-dimethylpyridine (2,6 lutidine)
3,4-dimethylpyridine (3,4 lutidine)
3,5-dimethylpyridine (3,5 lutidine)
Butyl-2-propenoate (Butylacrylate)
cycloheptane
methylcyclohexane
ethylcyclopentane
252 C₂H₁40₂
255 C₂H₁40₂
256 C₂H₁40₂ 2-methylpropyl propanoate
259 C₂H₁6 heptane
cis-1,3-dimethylcyclopentane
trans-1,3-dimethylcyclopentane
1-heptene
heptanoic acid
propyl butanoate
2-methylhexane
3-methylhexane
3-ethylpentane
2,2-dimethylpentane
2,3-dimethylpentane
2,4-dimethylpentane
3,3-dimethylpentane
2,2,3-trimethylbutane
1-heptanol
MethylphenylKetone
(Acetophenone)
ethylbenzene
1,2-dimethylbenzene (o-xylene)
1,3-dimethylbenzene (m-xylene)
1,4-dimethylbenzene (p-xylene)
277 C₂H₁0O
278 C₂H₁00
279 C₂H₂O
280 C₂H₂O
2,3-dimethylphenol (2,3 xylenol)
2,4-dimethylphenol (2,4 xylenol)
281 C₂H₁O
282 CH₁0O 2,5-dimethylphenol (2,5 xylenol)
2,6-dimethylphenol (2,6 xylenol)
3,4-dimethylphenol (3,4 xylenol)
3,5-dimethylphenol (3,5 xylenol)
cyclooctane
283 C₂H₁0O
284 CHO
285 CgHO
286 C₂H16
2-ethylphenol
3-ethylphenol
4-ethyl-phenol
1-1,4-dimethylcyclohexane
1-octene
octanoic acid
CAS #
623-37-0
105-30-6
590-36-3
626-89-1
108-11-2
335-57-9
771-56-2 3
108-88-3
108-39-4
106-44-5
583-61-9
108-47-4
589-93-5
108-48-5
583-58-4
591-22-0
141-32-2
291-64-5
108-87-2
566.52 -8.08717
1 4.05043 1327.62000 217.62500
3 591.80 -7.31600 1.59425 -1.93165 -3.72220 41.06
100-51-6 3 715.00 -7.29099 1.17084 -4.7167 -5.5300 43.00
95-48-7 1 4.18340 1534.540 176.300
2 4.18340 1534.540 176.300 697.60
1 4.21530 1556.830 167.600
2 4.21530 1556.830 167.600
1 4.18050 1525.320 163400
2 4.18050 1525.320 163400 704.50
1 4.18570 1536.350 206400
208.630
209.850
705.70
1 4,20962 1542.940
1 4.20857 1541.780
1407.250
1 4.08748
201.001
1 4.18920 1605.140
204.550
1 4.21290 1595.150 207.240
3 644.00 -7.59083
1.96932
215.297
1 3.96330 1322.21997
2 3.96330 1322.220 215.297 604.30
I 3.98232 1290.968 223.701
2 3.98232
1290.97 223.701
1 4.00408 1293.712
2 4.00408 1293.712
1 4.00405 1259.821
1 3.95279 1232.161
220.120
220.120 569.52
223.530
221.420
219.300
1 4.02677 1258.340
2 4.02677 1258.340
3 679.00 -8.94240
1 3.40455 1019.490
1 3.56180 1042.300
14.02023 1263.909
219.300 537.30
103 2.61660
2.20536 -8.82144 -1.9710 29.00
156.600
156.500
216.432
3 540.15 -7.77404 1.85614 -2.8298 -3.5070 27.35
1640-89-7
Eq. # A/A/Tc B/B/a C/C/b Tc/c
1 6.16250 2662.265 296,620
1 6.19790 2625.143 276.330
1 3.27663 811.0500
126.600
1 4.17605 1273.350 153.560
1 4.66180 1566.760 204.790
3 475.00 -9.18955
2532-58-3
1759-58-6
592-76-7
111-14-8
105-66-8
540-42-1
142-82-5
591-76-4
589-34-4
617-78-7
590-35-2
565-59-3
108-08-7
562-49-2
464-06-2
111-70-6
98-86-2
100-41-4
95-47-6
108-38-3
106-42-3
90-00-6
620-17-7
123-07-9
526-75-0
105-67-9
95-87-4
576-26-1
95-65-8
108-68-9
292-64-8
2207-04-7
111-66-0
124-07-2
3.15138 -5.41934 -4.11174
to/d
-3.05837
1.76131 -2.72838 -4.13797 31.24
572.19
n/Pc
16.5
535.20
200 1.70720
463.530 -36925
215 2.19340 -549.69 67638.0
215 2.10170
-4.17604 45.40
129 2.52840
115 2.79424
110 2.66692
1 3.99739 1235.520 219.497
2 3.99571
1 4.00449
2 3.99739 1235.520 219.500 530.10
1 3.99571 1242.018 219.435
1242.020 219.440
1254.055 220.136
2 4.00449 1254.060 220.140 540.50
1 3.94392 1191.959 223.498
2 3.94392 1191.906 223.500 520.40
221.942
1 3.98066 1238.986
2 3.98066 1238.990 221.940 537.30
1 3.95442 1193.612 221.807
2 3.95442 1193.160 221.810 519.70
1 3.94912 1227.020 225.121
2 3.94912 1227.020 225.120 536.30
1 3.91555 1199.397 225.908
2 3.91555 1199.400 225.910 531.10
1 4.01991 1274.890 140.940
3 632.50 -9.68778 5.35716 -10.1672 -8.0100 31.35
3 713.00 -8.9386
4.01161 -4.5941 -2.57768 44.00
103 2.38910
89 2.20020
99 1.97920
90 1.92600
100 2.04000 575.200 -40292
96 2.15280
100 1.89740 267.300 -9936.0
91 1.98860
E
212.300
I 4.06861 1415.770
3 617.20 -7.53139 1.75439 -2.42012 -3.57146 36.00
14.09789 1458.706 212.041
3 630.33 -7.60491 1.75383 -2.27531 -3.73771 37.35
1 4.14051 1468.703 216.120
3 617.05 -7.67717 1.80240 -2.47745 -3.66068 35.38
14.10494 1446.832 214.627
3 616.23 -7.71694 1.89119 -2.39695 -3.63026
1 4.13365 1550.440 171.074
14.16568 1572.260 159.52399
1 4.13227 1545.23999 156.468
14.12202 1576.780 166.173
14.18688 1592.780 170.004
14.13449 1563.140 167.453
187.547
160.041
1 4.19336 1627.230
1 4.21183 1627.780
1 4.26229 1645.270
164.821
209.712
1 3.98125 1434.670
2 3.98125 1434.670 209.712 647.20
14.02425 1457.08 205.99
14.05985 1355.460 213.050
2 4.05985 1355.460 213.050 566.65
3 695.00 -9.04015 2.16529 -8.66117 -4.69516 26.40
65.801 77063
35.16
250.300 -13243.
53.706 2916.13
561.915 -45612.
290.600 -17516.
Pvpmin,
565.800 -38997
515.600 -33215
282.400 12835.
224.400 -4163.0
420.700 -24617
309.700 -16910.
162 2.30600 325.500 -31112.
131 2.68960 512.500-40092.
bar Tmin, K
0.008 298.00
0.003 298.00
0.02 309.50
0.02 336.40
0.02 315.00
0.13335 303.68
0.02
286.44
Pvpmax
0.02 316.00
0.03 321.60
0.02 277.71
31.24 566.52
2 409.61
41.06 591.80
43.00 715.00
2
0.02 357.80
2 492.11
2.05 493.15 50.00 697.57
0.02 368.80
2 503.28
1.99 503.15 45.60 705.69
0.02 369.10
2 502.93
2.01 503.15 51.50 704.49
0.02 327.90
2 462.24
0.02 325.65
459.28
0.02 324.20
2 457.87
0.02 315.34
2 443.79
0.02 341.10
2 481.43
0.02 335.73
2 473.68
0.02 318.51 1.0133 419.77
0.02 291.40
2
1.5443 408.15 33.70
0.02 276.68
2
1.9059 398.15 34.71
0.02 279.88
2
2.30 408.15 33.60
0.02 270.52
2
0.02 269.74
0.02 273.62
1.83 388.15
418.89
593.15
400.13
572.19
402.39
569.52
389.83
389.15
2 391.59
23.23 523.15
29.00 679.00
2 445.04
2
436.30
2
396.53
27.35
540.15
0.02 306.32
bar Tmax, Κ
0.02 312.75
1 411.00
1 423.00
419.12
448.19
427.65
389.70
0.02 270.55
2 387.88
1.548 378.15 21.38 513.15
0.02 271.90
2 389.82
1.471 378.15 20.51 513.15
0.02 272.90
2 391.62
1.404 378.15 19.64 513.15
0.02 260.90
2 376.84
1.59 368.15 21.68 503.15
0.04 281.56
2 387.89
1.553 378.15 20.74 513.15
0.02 262.40
2 378.01
1.538 368.15 21.54
503.15
0.02 265.20
2 384.36
1.707 378.15 21.38 513.15
0.02 260.90
2 379.04
1.507 368.15 20.09 503.15
0.02 355.10
2 475.03
31.35 632.50
2.7 520.00
0.02 360.46
0.02 308.54
2
2
2
2.7
0.02 307.81
0.02 367.90
0.02 381.72
0.02 381.67
0.02 377.86
0.02 373.76
0.02 373.66
0.02 361.76
0.02 388.50
0.02 384.32
0.02 316.00
1.787
0.02 321.75
0.02 295.47
1.88 418.15
2
36.00
2
37.35
436.63
617.20
445.30
630.33
2 439.56
35.38 617.05
35.16
2
2 438.88
616.23
506.61
520,46
2
2 520.01
2 519.64
2 513.04
2 513.46
2
2 503.66
2 529.34
2 523.67
453.27
448.15 31.30 633.15
458.51
2 420.71
553.15
2
21.34
26.40 695.00
22
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