2. Diffusivity and Schmidt number for a chlorine-air mixture a) Estimate DAB (in cm²/s) for chlorine (A) - air (B) mixtures at 297 K and 1 atm using the Chapman-Enskog relation (Eqn 17.7-12). Treat air as a single substance with Lennard- Jones parameters as given in Appendix D. b) Use the results of (a) to estimate Schmidt number for a chlorine-air mixture at 297 K and 1 atm with a mole fraction of chlorine of 0.25 and a mixture viscosity of 0.0164 cP. Assume this mixture is an ideal gas. 3 2(RT)3 DAB 16 Π MA 1 MB NpAB ABAB 1 (17.7-12) =0.001858373 MM po AB AB D Table D.1. Lennard-Jones (6-12) Potential Parameters and Critical Properties Lennard-Jones parameters Critical properties, Molecular Weight σ E/K Ref. Τ Substance M (A) (K) (K) Pe (atm) (cm³/g-mol) HX10 (g/cm s) kx 10º (cal/cm·s·K) Light gases: H₂ 2.016 2.915 38.0 a 73.3 12.80 65.0 34.7 He 4.003 2.576 10.2 a 5.26 2.26 57.8 25.4 Noble gases: Ne 20.180 2.789 35.7 a 44.5 26.9 41.7 156. 79.2 Ar 39.948 3.432 122.4 b 150.7 48.0 75.2 264. 71.0 Kr 83.80 3.675 170.0 b 209.4 54.3 92.2 396. 49.4 Xe 131.29 4.009 234.7 b 289.8 58.0 118.8 490. 40.2 Simple polyatomic gases: Air 28.964 3.617 97.0 a 132.4 37.0 86.7 193. 90.8 N₂ 28.013 3.667 99.8 b 126.2 33.5 90.1 180. 86.8 31.999 3.433 113. a 154.4 49.7 74.4 250. 105.3 28.010 3.590 110. a 132.9 34.5 93.1 190. 86.5 44.010 3.996 190. a 304.2 72.8 94.1 343. 122. NO 30.006 3.470 119. a 180. 64. 57. 258. 118.2 44.012 3.879 220. a 309.7 71.7 96.3 332. 131. SO₂ 64.065 4.026 363. C 430.7 77.8 122. 411. 98.6 F₂ 37.997 3.653 112. a - Ch₂ 70.905 4.115 357. a 417. 76.1 124. 420. 97.0 Br₂ 159.808 4.268 520. a 584. 102. 144. 253.809 4.982 550. a 800. Hydrocarbons: CH₁ 16.04 3.780 154. b 190.7 45.8 98.7 159. CH=CH 26.04 4.114 212. d 308.7 61.6 112.9 237. CH2=CH₂ 28.05 4.228 216. b 282.4 50.0 124. 215. CH 30.07 4.388 232. b 305.4 48.2 148. 210. 203. CH₂C = CH 40.06 4.742 261. d 394.8 CH,CH=CH₂ 42.08 4.766 275. b 365.0 45.5 181. 233. C₂H8 44.10 4.934 273. b 369.8 41.9 200. 228. -C,H₂ 58.12 5.604 304. b 425.2 37.5 255. 239. i-C,H 58.12 5.393 295. b 408.1 36.0 263. 239. g| │: | | | ||

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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Related questions
Question

Equation and appendix D are listed!

2.
Diffusivity and Schmidt number for a chlorine-air mixture
a) Estimate DAB (in cm²/s) for chlorine (A) - air (B) mixtures at 297 K and 1 atm using the
Chapman-Enskog relation (Eqn 17.7-12). Treat air as a single substance with Lennard-
Jones parameters as given in Appendix D.
b) Use the results of (a) to estimate Schmidt number for a chlorine-air mixture at 297 K and
1 atm with a mole fraction of chlorine of 0.25 and a mixture viscosity of 0.0164 cP. Assume
this mixture is an ideal gas.
Transcribed Image Text:2. Diffusivity and Schmidt number for a chlorine-air mixture a) Estimate DAB (in cm²/s) for chlorine (A) - air (B) mixtures at 297 K and 1 atm using the Chapman-Enskog relation (Eqn 17.7-12). Treat air as a single substance with Lennard- Jones parameters as given in Appendix D. b) Use the results of (a) to estimate Schmidt number for a chlorine-air mixture at 297 K and 1 atm with a mole fraction of chlorine of 0.25 and a mixture viscosity of 0.0164 cP. Assume this mixture is an ideal gas.
3
2(RT)3
DAB
16
Π
MA
1
MB NpAB
ABAB
1
(17.7-12)
=0.001858373
MM po AB
AB D
Table D.1. Lennard-Jones (6-12) Potential Parameters and Critical Properties
Lennard-Jones
parameters
Critical properties,
Molecular
Weight
σ
E/K
Ref.
Τ
Substance
M
(A)
(K)
(K)
Pe
(atm)
(cm³/g-mol)
HX10
(g/cm s)
kx 10º
(cal/cm·s·K)
Light gases:
H₂
2.016
2.915
38.0
a
73.3
12.80
65.0
34.7
He
4.003
2.576
10.2
a
5.26
2.26
57.8
25.4
Noble gases:
Ne
20.180
2.789
35.7
a
44.5
26.9
41.7
156.
79.2
Ar
39.948
3.432
122.4
b
150.7
48.0
75.2
264.
71.0
Kr
83.80
3.675
170.0
b
209.4
54.3
92.2
396.
49.4
Xe
131.29
4.009
234.7
b
289.8
58.0
118.8
490.
40.2
Simple polyatomic gases:
Air
28.964
3.617
97.0
a
132.4
37.0
86.7
193.
90.8
N₂
28.013
3.667
99.8
b
126.2
33.5
90.1
180.
86.8
31.999
3.433
113.
a
154.4
49.7
74.4
250.
105.3
28.010
3.590
110.
a
132.9
34.5
93.1
190.
86.5
44.010
3.996
190.
a
304.2
72.8
94.1
343.
122.
NO
30.006
3.470
119.
a
180.
64.
57.
258.
118.2
44.012
3.879
220.
a
309.7
71.7
96.3
332.
131.
SO₂
64.065
4.026
363.
C
430.7
77.8
122.
411.
98.6
F₂
37.997
3.653
112.
a
-
Ch₂
70.905
4.115
357.
a
417.
76.1
124.
420.
97.0
Br₂
159.808
4.268
520.
a
584.
102.
144.
253.809
4.982
550.
a
800.
Hydrocarbons:
CH₁
16.04
3.780
154.
b
190.7
45.8
98.7
159.
CH=CH
26.04
4.114
212.
d
308.7
61.6
112.9
237.
CH2=CH₂
28.05
4.228
216.
b
282.4
50.0
124.
215.
CH
30.07
4.388
232.
b
305.4
48.2
148.
210.
203.
CH₂C = CH
40.06
4.742
261.
d
394.8
CH,CH=CH₂
42.08
4.766
275.
b
365.0
45.5
181.
233.
C₂H8
44.10
4.934
273.
b
369.8
41.9
200.
228.
-C,H₂
58.12
5.604
304.
b
425.2
37.5
255.
239.
i-C,H
58.12
5.393
295.
b
408.1
36.0
263.
239.
g| │: | | | ||
Transcribed Image Text:3 2(RT)3 DAB 16 Π MA 1 MB NpAB ABAB 1 (17.7-12) =0.001858373 MM po AB AB D Table D.1. Lennard-Jones (6-12) Potential Parameters and Critical Properties Lennard-Jones parameters Critical properties, Molecular Weight σ E/K Ref. Τ Substance M (A) (K) (K) Pe (atm) (cm³/g-mol) HX10 (g/cm s) kx 10º (cal/cm·s·K) Light gases: H₂ 2.016 2.915 38.0 a 73.3 12.80 65.0 34.7 He 4.003 2.576 10.2 a 5.26 2.26 57.8 25.4 Noble gases: Ne 20.180 2.789 35.7 a 44.5 26.9 41.7 156. 79.2 Ar 39.948 3.432 122.4 b 150.7 48.0 75.2 264. 71.0 Kr 83.80 3.675 170.0 b 209.4 54.3 92.2 396. 49.4 Xe 131.29 4.009 234.7 b 289.8 58.0 118.8 490. 40.2 Simple polyatomic gases: Air 28.964 3.617 97.0 a 132.4 37.0 86.7 193. 90.8 N₂ 28.013 3.667 99.8 b 126.2 33.5 90.1 180. 86.8 31.999 3.433 113. a 154.4 49.7 74.4 250. 105.3 28.010 3.590 110. a 132.9 34.5 93.1 190. 86.5 44.010 3.996 190. a 304.2 72.8 94.1 343. 122. NO 30.006 3.470 119. a 180. 64. 57. 258. 118.2 44.012 3.879 220. a 309.7 71.7 96.3 332. 131. SO₂ 64.065 4.026 363. C 430.7 77.8 122. 411. 98.6 F₂ 37.997 3.653 112. a - Ch₂ 70.905 4.115 357. a 417. 76.1 124. 420. 97.0 Br₂ 159.808 4.268 520. a 584. 102. 144. 253.809 4.982 550. a 800. Hydrocarbons: CH₁ 16.04 3.780 154. b 190.7 45.8 98.7 159. CH=CH 26.04 4.114 212. d 308.7 61.6 112.9 237. CH2=CH₂ 28.05 4.228 216. b 282.4 50.0 124. 215. CH 30.07 4.388 232. b 305.4 48.2 148. 210. 203. CH₂C = CH 40.06 4.742 261. d 394.8 CH,CH=CH₂ 42.08 4.766 275. b 365.0 45.5 181. 233. C₂H8 44.10 4.934 273. b 369.8 41.9 200. 228. -C,H₂ 58.12 5.604 304. b 425.2 37.5 255. 239. i-C,H 58.12 5.393 295. b 408.1 36.0 263. 239. g| │: | | | ||
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