Tablas para el calculo del coeficiente de Leonard Jones

Appendix

J Mass-Transfer Diffusion Coefficients in Binary Systems Table J.1

Binary mass diffusivities in gases y T  (K)

D AB P(cm2 atm/s)

D AB P(m2 Pa/s)

Air Ammonia Aniline Benzene Bromine Carbon dioxide Carbon disulfide Chlorine Diphenyl Ethyl acetate Ethanol Ethyl ether Iodine Methanol Mercury Naphthalene Nitrobenzene n-Octane Oxygen Propyl acetate Sulfur dioxide Toluene Water

273 298 298 293 273 273 273 491 273 298 293 298 298 614 298 298 298 273 315 273 298 298

0.198 0.0726 0.0962 0.091 0.136 0.0883 0.124 0.160 0.0709 0.132 0.0896 0.0834 0.162 0.473 0.0611 0.0868 0.0602 0.175 0.092 0.122 0.0844 0.260

2.006 0.735 0.974 0.923 1.378 0.894 1.256 1.621 0.718 1.337 0.908 0.845 1.641 4.791 0.619 0.879 0.610 1.773 0.932 1.236 0.855 2.634

Ammonia Ethylene

293

0.177

1.793

293

0.329

3.333

318 318 319

0.0715 0.0715 0.0666

0.724 0.724 0.675

System

Argon Neon Carbon dioxide Benzene Carbon disulfide Ethyl acetate

(continued )

691

692

Appendix J Table J.1

(Continued ) D AB P(cm2 atm/s)

D AB P(m2 Pa/s)

273 273 273 273 298.6 298 298 298 298

0.0693 0.0541 0.550 0.153 0.105 0.165 0.117 0.0863 0.164

0.702 0.548 5.572 1.550 1.064 1.672 1.185 0.874 1.661

Carbon monoxide Ethylene Hydrogen Nitrogen Oxygen

273 273 288 273

0.151 0.651 0.192 0.185

1.530 6.595 1.945 1.874

Helium Argon Benzene Ethanol Hydrogen Neon Water

273 298 298 293 293 298

0.641 0.384 0.494 1.64 1.23 0.908

6.493 3.890 5.004 16.613 12.460 9.198

Hydrogen Ammonia Argon Benzene Ethane Methane Oxygen Water

293 293 273 273 273 273 293

0.849 0.770 0.317 0.439 0.625 0.697 0.850

8.600 7.800 3.211 4.447 6.331 7.061 8.611

Nitrogen Ammonia Ethylene Hydrogen Iodine Oxygen

293 298 288 273 273

0.241 0.163 0.743 0.070 0.181

2.441 1.651 7.527 0.709 1.834

Oxygen Ammonia Benzene Ethylene

293 296 293

0.253 0.0939 0.182

2.563 0.951 1.844

System Ethanol Ethyl ether Hydrogen Methane Methanol Nitrogen Nitrous oxide Propane Water

y

T  (K)

R. C. Reid and T. K. Sherwood,  The Properties of Gases and Liquids,  McGraw-Hill, New York, 1958, Chapter. 8.

Appendix J Table J.2 Solute A

693

Binary mass diffusivities in liquids y  

Chlorine Hydrogen chloride

Solvent B Water Water

Temperature (K) 289 273 283

Ammonia

Water

Carbon dioxide

Water

Sodium chloride

Water

289 278 288 283 293 291

Methanol Acetic acid

Water Water

288 285.5

Water

291 283

Water Ethanol Ethanol

289 288 290 293

Ethanol

n-Butanol Carbon dioxide Chloroform

Solute concentration (g mol/L or kg mol/m 3)

Diffusivity (cm 2 /s  105 or m2 /s  109 )

0.12 9 2 9 2.5 0.5 3.5 1.0 0 0 0.05 0.2 1.0 3.0 5.4 0 1.0 0.01 1.0 3.75 0.05 2.0 0 0 2.0

1.26 2.7 1.8 3.3 2.5 2.44 1.24 1.77 1.46 1.77 1.26 1.21 1.24 1.36 1.54 1.28 0.82 0.91 0.96 0.50 0.83 0.90 0.77 3.2 1.25

y

R. E. Treybal,  Mass Transfer Operations,  McGraw-Hill, New York, 1955, p. 25.

Table J.3

Binary diffusivities in solids y

Solute

Solid

Temperature (K)

Helium

Pyrex

293

4:49  1011

1:74  1010

773

2:00  108

7:76  108

358

1:16  108

4:5  108

438

1:05  107

4:07  107

Hydrogen

Nickel

Diffusivity (cm  /s or m2 /s 104 )

Diffusivity (ft2 /h)

2

Bismuth

Lead

293

1:10  1016

4:27  1016

Mercury

Lead

293

2:50  1015

9:7  1015

Antimony

Silver

293

3:51  1021

1:36  1020

Aluminum

Copper

293

1:30  1030

5:04  1030

Cadmium

Copper

293

2:71  1015

1:05  1014

y

R. M. Barrer,  Diffusion In and Through Solids,  Macmillan, New York, 1941.

Appendix

K Lennard–Jones Constants Table K.1

The collision integrals,  V m and V D  based on the Lennard–Jones potential y

kT  / e

(for viscosity and thermal conductivity)

Vm

¼

Vk 

Vm VD  (for

mass diffusivity)

kT  / e

¼

Vk 

(for viscosity and thermal conductivity)

VD

(for mass diffusivity)

0.30 0.35 0.40 0.45

2.785 2.628 2.492 2.368

2.662 2.476 2.318 2.184

1.75 1.80 1.85 1.90 1.95

1.234 1.221 1.209 1.197 1.186

1.128 1.116 1.105 1.094 1.084

0.50 0.55 0.60 0.65

2.257 2.156 2.065 1.982

2.066 1.966 1.877 1.798

2.00 2.10 2.20 2.30

1.175 1.156 1.138 1.122

1.075 1.057 1.041 1.026

0.70 0.75 0.80 0.85 0.90 0.95

1.908 1.841 1.780 1.725 1.675 1.629

1.729 1.667 1.612 1.562 1.517 1.476

2.40 2.50 2.60 2.70 2.80 2.90

1.107 1.093 1.081 1.069 1.058 1.048

1.012 0.9996 0.9878 0.9770 0.9672 0.9576

1.00 1.05 1.10 1.15 1.20

1.587 1.549 1.514 1.482 1.452

1.439 1.406 1.375 1.346 1.320

3.00 3.10 3.20 3.30 3.40

1.039 1.030 1.022 1.014 1.007

0.9490 0.9406 0.9328 0.9256 0.9186

1.25 1.30 1.35 1.40 1.45

1.424 1.399 1.375 1.353 1.333

1.296 1.273 1.253 1.233 1.215

3.50 3.60 3.70 3.80 3.90

0.9999 0.9932 0.9870 0.9811 0.9755

0.9120 0.9058 0.8998 0.8942 0.8888

1.50 1.55 1.60 1.65

1.314 1.296 1.279 1.264

1.198 1.182 1.167 1.153

4.00 4.10 4.20 4.30

0.9700 0.9649 0.9600 0.9553

0.8836 0.8788 0.8740 0.8694 (continued )

694

695

Appendix K  Table K.1   (continued) Vm

¼

Vk 

Vm

¼

Vk 

kT  / e

1.70 4.50 4.60 4.70 4.80 4.90

1.248 0.9464 0.9422 0.9382 0.9343 0.9305

1.140 0.8610 0.8568 0.8530 0.8492 0.8456

4.40 10.0 20.0 30.0 40.0 50.0

0.9507 0.8242 0.7432 0.7005 0.6718 0.6504

0.8652 0.7424 0.6640 0.6232 0.5960 0.5756

5.0 6.0 7.0 8.0

0.9269 0.8963 0.8727 0.8538

0.8422 0.8124 0.7896 0.7712

60.0 70.0 80.0 90.0

0.6335 0.6194 0.6076 0.5973

0.5596 0.5464 0.5352 0.5256

Table K.2

VD  (for

mass diffusivity)

Formula

Acetylene Air Argon Arsine Benzene Bromine i-Butane n-Butane Carbon dioxide Carbon disulfide Carbon monoxide Carbon tetrachloride Carbonyl sulfide Chlorine Chloroform Cyanogen Cyclohexane Ethane Ethanol Ethylene Fluroine Helium n-Heptane n-Hexane Hydrogen Hydrogen chloride

C 2H2

z

(for mass diffusivity)

Lennard–Jones force constants calculated from viscosity data y

Compound

y

kT  / e

(for viscosity and thermal conductivity)

VD

(for viscosity and thermal conductivity)

A AsH3 C 6H6 Br 2 C 4H10 C 4H10 CO 2 CS 2 CO CCl 4 COS Cl 2 CHCl 3 C 2N2 C 6H12 C 2H6 C 2H5OH C 2H6 F2 He C 7H16 C 6H14 H2 HCl

e  A =k,

 

       

       

 

in (K)

185 97 124 281 440 520 313 410 190 488 110 327 335 357 327 339 324 230 391 205 112 10.22 282z 413 33.3 360

s,

4.221 3.617 3.418 4.06 5.270 4.268 5.341 4.997 3.996 4.438 3.590 5.881 4.13 4.115 5.430 4.38 6.093 4.418 4.455 4.232 3.653 2.576 8.883 5.909 2.968 3.305

R. C. Reid and T. K. Sherwood,  The Properties of Gases and Liquids,  McGraw-Hill, New York, 1958. Calculated from virial coefficients.1



in A

696

Appendix K  Table K.2   (continued) Compound

Formula

Hydrogen iodide Iodine Krypton Methane Methanol Methylene chloride Methyl chloride Mercuric iodide Mercury Neon Nitric oxide Nitrogen Nitrous oxide n-Nonane n-Octane Oxygen n-Pentane Propane Silane Silicon tetrachloride Sulfur dioxide Water Xenon

HI I2 Kr CH 4 CH 3OH CH 2Cl2 CH 3Cl HgI 2 Hg Ne NO N2 N 2O C 9H20 C 8H18 O2 C 5H12 C 3H8 SiH4 SiCl 4 SO 2 H2O Xe

e  A =k ,

     

 

in (K)

324 550 190 136.5 507 406 855 691 851 35.7 119 91.5 220 240 320 113 345 254 207.6 358 252 356 229

s ,



in A

4.123 4.982 3.60 3.822 3.585 4.759 3.375 5.625 2.898 2.789 3.470 3.681 3.879 8.448 7.451 3.433 5.769 5.061 4.08 5.08 4.290 2.649 4.055