Q1) i- Estimate the diffusivity of carbon oxide (CO2) in air at 330 K and 1.2 bar applying the following formula and the data given in Table Q1. (0.98 3.03 (10-3) T1.5 MO.5 AB P MO.5 oAB Np DAB 'AB where; DAB = diffusion coefficient, cm?/sec MA , MB = molecular weights of A and B, respectively T= temperature, °K P= Pressure, bar O AB= collision diameter, angstrom Np = diffusion collision integral, dimensionless Given the following: -1 МАВ 3 2 \MA MB O AB = 0.5(0A +0B) 0.5 EA EB к к E AB K II

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
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Question
Q1)
i- Estimate the diffusivity of carbon oxide (CO2) in air at 330 K and 1.2 bar applying the
following formula and the data given in Table Q1.
(0.98
3.03
(10-3) T1.5
MO.5
'AB
DAB
АВ
where;
DAB = diffusion coefficient, cm²/sec
MA , MB = molecular weights of A and B, respectively
T= temperature, °K
P = Pressure, bar
O AB= collision diameter, angstrom
Np = diffusion collision integral, dimensionless
Given the following:
–1
1
MAB = 2 +)*, JAB = 0.5(0A + Og) ,
МАВ
0.5(0A + OB)
%3D
MB.
O AB =
0.5
EA ƐB
εΑΒ
K
K K
„G)
Transcribed Image Text:Q1) i- Estimate the diffusivity of carbon oxide (CO2) in air at 330 K and 1.2 bar applying the following formula and the data given in Table Q1. (0.98 3.03 (10-3) T1.5 MO.5 'AB DAB АВ where; DAB = diffusion coefficient, cm²/sec MA , MB = molecular weights of A and B, respectively T= temperature, °K P = Pressure, bar O AB= collision diameter, angstrom Np = diffusion collision integral, dimensionless Given the following: –1 1 MAB = 2 +)*, JAB = 0.5(0A + Og) , МАВ 0.5(0A + OB) %3D MB. O AB = 0.5 EA ƐB εΑΒ K K K „G)
(Table Q1) Intermolecular forces parameters and critical properties
Lennard-Jones
Parameters (9, 10)
Critical Constants (11-14)
(g cm-
sec-1)
ke
(cal s-1
cm-1°K-')
x10
Molecular
(cm³
g-mole¬')
Wt.
€/K
((K)
Te
((K)
Pe
Substance
M
(A)
(atm)
x 10
Simple połyatomic substances:
3.617
3.681
Air
28.97
97.0
86.6
193
90.8
132
126.2
36.4
33.5
86.8
N2
O2
28.02
91.5
90.1
180
32.00
3.433
113
154.4
49.7
74.4
250
105.3
89.4
93.1
48.00
268
67
CO
28.01
3.590
110
133
34.5
190
86.5
CO2
3.996
190
304.2
72.9
94.0
343
122
44.01
30.01
NO
3.470
119
180
64
57
258
118.2
3.879
220
309.7
71.7
96.3
332
131
N20
SO2
F2
Cl2
Br2
12
44.02
64.07
4.290
252
430.7
77.8
122
411
98.6
38.00
3.653
112
70.91
4.115
357
417
76.1
124
420
97.0
159.83
4.268
520
584
102
144
253.82
4.982
550
800
Nµ = Nk
(for viscosity
and thermal
ΩμΩk
(for viscosity
KT/e
NDAB
KT/e
NDAB
(for mass
(for mass
conductivity) diffusivity)
or
or
and thermal
KT/eAB
KT/eAB
conductivity) diffusivity)
0.9755
0.9700
1.629
3.90
4.00
0.8888
0.8836
0.8788
0.8740
0.8694
0.95
1.476
1.587
1.549
1.439
1.406
1.00
1.05
4.10
0.9649
1.10
1.514
1.375
4.20
0.9600
1.482
1.452
1.15
1.346
4.30
0.9553
1.20
1.320
4.40
0.9507
0.8652
0.9464
0.9422
1.25
1.424
1.296
4.50
0.8610
1.273
1.253
1.30
1.399
4.60
0.8568
1.35
1.375
4.70
0.9382
0.8530
1.40
1.353
1.233
4.80
0.9343
0.8492
1.215
1.198
1.182
0.9305
0.9269
1.45
1.333
4.90
0.8456
1.50
1.314
5.0
0.8422
1.55
1.296
6.0
0.8963
0.8124
0.8727
0.8538
1.60
1.279
1.167
7.0
0.7896
1.264
1.248
1.234
1.221
1.65
1.153
8.0
0.7712
1.140
1.128
1.70
9.0
0.8378
0.7556
1.75
10.0
0.8242
0.7424
1.80
1.116
20.0
0.7432
0.6640
1.85
1.209
1.105
30.0
0.7005
0.6232
9 – 9.
-(d2 – d1)
0.5960 d= d +
92 – 91
1.90
1.197
1.094
40.0
0.6718
1.084
1.075
1.95
1.186
50.0
0.6504
0.5756
60.0
0.5596
0.5464 Linear interpolation
0.5352 Formula
2.00
1.175
0.6335
2.10
1.156
1.057
70.0
0.6194
1.041
1.026
80.0
90.0
2.20
1.138
0.6076
0.5973
0.5882
2.30
1.122
0.5256
2.40
1.107
1.012
100.0
0.5170
2.50
1.093
0.9969
Transcribed Image Text:(Table Q1) Intermolecular forces parameters and critical properties Lennard-Jones Parameters (9, 10) Critical Constants (11-14) (g cm- sec-1) ke (cal s-1 cm-1°K-') x10 Molecular (cm³ g-mole¬') Wt. €/K ((K) Te ((K) Pe Substance M (A) (atm) x 10 Simple połyatomic substances: 3.617 3.681 Air 28.97 97.0 86.6 193 90.8 132 126.2 36.4 33.5 86.8 N2 O2 28.02 91.5 90.1 180 32.00 3.433 113 154.4 49.7 74.4 250 105.3 89.4 93.1 48.00 268 67 CO 28.01 3.590 110 133 34.5 190 86.5 CO2 3.996 190 304.2 72.9 94.0 343 122 44.01 30.01 NO 3.470 119 180 64 57 258 118.2 3.879 220 309.7 71.7 96.3 332 131 N20 SO2 F2 Cl2 Br2 12 44.02 64.07 4.290 252 430.7 77.8 122 411 98.6 38.00 3.653 112 70.91 4.115 357 417 76.1 124 420 97.0 159.83 4.268 520 584 102 144 253.82 4.982 550 800 Nµ = Nk (for viscosity and thermal ΩμΩk (for viscosity KT/e NDAB KT/e NDAB (for mass (for mass conductivity) diffusivity) or or and thermal KT/eAB KT/eAB conductivity) diffusivity) 0.9755 0.9700 1.629 3.90 4.00 0.8888 0.8836 0.8788 0.8740 0.8694 0.95 1.476 1.587 1.549 1.439 1.406 1.00 1.05 4.10 0.9649 1.10 1.514 1.375 4.20 0.9600 1.482 1.452 1.15 1.346 4.30 0.9553 1.20 1.320 4.40 0.9507 0.8652 0.9464 0.9422 1.25 1.424 1.296 4.50 0.8610 1.273 1.253 1.30 1.399 4.60 0.8568 1.35 1.375 4.70 0.9382 0.8530 1.40 1.353 1.233 4.80 0.9343 0.8492 1.215 1.198 1.182 0.9305 0.9269 1.45 1.333 4.90 0.8456 1.50 1.314 5.0 0.8422 1.55 1.296 6.0 0.8963 0.8124 0.8727 0.8538 1.60 1.279 1.167 7.0 0.7896 1.264 1.248 1.234 1.221 1.65 1.153 8.0 0.7712 1.140 1.128 1.70 9.0 0.8378 0.7556 1.75 10.0 0.8242 0.7424 1.80 1.116 20.0 0.7432 0.6640 1.85 1.209 1.105 30.0 0.7005 0.6232 9 – 9. -(d2 – d1) 0.5960 d= d + 92 – 91 1.90 1.197 1.094 40.0 0.6718 1.084 1.075 1.95 1.186 50.0 0.6504 0.5756 60.0 0.5596 0.5464 Linear interpolation 0.5352 Formula 2.00 1.175 0.6335 2.10 1.156 1.057 70.0 0.6194 1.041 1.026 80.0 90.0 2.20 1.138 0.6076 0.5973 0.5882 2.30 1.122 0.5256 2.40 1.107 1.012 100.0 0.5170 2.50 1.093 0.9969
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