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| │: | | | ||
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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