A9: Second Virial Coefficients
- Page ID
- 20136
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)| pc (MPa) | Vcm cm3 mol−1 | Tc(K) | pcVcm RTc | Coefficients of equations(3) | TL (K) | TU(K) | |||
|---|---|---|---|---|---|---|---|---|---|
| a | b | c | |||||||
| Ammonia | 11.35 | 72.5 | 405.5 | 0.244 | 44.3 | 23.6 | 766.6 | 273 | 573 |
| Argon | 4.90 | 74.6 | 150.9 | 0.291 | 154.2 | 119.3 | 105.1 | 80 | 1024 |
| Bromine | 10.3 | 127 | 588 | 0.268 | - | - | - | - | - |
| Carbon dioxide | 7.38 | 94.0 | 304.1 | 0.274 | 137.6 | 87.7 | 325.7 | 220 | 1100 |
| Carbon disulphide | 7.9 | 173 | 552 | 0.298 | 211.0 | 167.1 | 538.7 | 280 | 430 |
| Carbon monoxide | 3.50 | 93.1 | 132.9 | 0.295 | 202.6 | 154.2 | 94.2 | 90 | 573 |
| Chlorine | 7.98 | 124 | 416.9 | 0.285 | 201.9 | 131.8 | 409.9 | 360 | 700 |
| Cyanogen | 6.0 | - | 400 | - | 746.9 | 508.2 | 238.0 | 308 | 423 |
| Deuterium | 1.65 | 60 | 38.2 | 0.312 | 155.1 | 132.5 | 18.9 | 18 | 423 |
| Deuterium oxide | 21.67 | 56.3 | 643.9 | 0.228 | −16.8 | 3.37 | 1928.2 | 423 | 773 |
| Dinitrogen oxide | 7.25 | 97.4 | 309.6 | 0.274 | 180.7 | 114.8 | 305.4 | 200 | 423 |
| Fluorine | 5.22 | 66 | 144.3 | 0.288 | 71.4 | 48.0 | 165.0 | 80 | 300 |
| Helium | 0.227 | 57.2 | 5.19 | 0.301 | 114.1 | 98.7 | 3.245 | 7 | 150 |
| Hydrogen | 1.297 | 65.0 | 33.2 | 0.306 | 315.0 | 289.7 | 9.47 | 14 | 400 |
| Hydrogen bromide | 8.55 | - | 363.2 | - | - | - | - | - | - |
| Hydrogen chloride | 8.31 | 81 | 324.7 | 0.249 | 57.7 | 37.8 | 495.9 | 190 | 480 |
| Hydrogen cyanide | 5.39 | 139 | 456.7 | 0.197 | - | - | - | - | - |
| Hydrogen deuteride | 1.48 | 63 | 36.0 | 0.312 | - | - | - | - | - |
| Hydrogen fluoride | 6.48 | 69 | 461 | 0.117 | - | - | - | - | - |
| Hydrogen iodide | 8.31 | - | 424 | - | - | - | - | - | - |
| Hydrogen sulphide | 8.94 | 98.5 | 373.2 | 0.284 | 47.7 | 30.3 | 632.9 | 278 | 493 |
| Iodine | - | 155 | 819 | - | - | - | - | - | - |
| Krypton | 5.50 | 91.2 | 209.4 | 0.288 | 189.6 | 148.0 | 145.3 | 110 | 700 |
| Mercury | 172 | 42.7 | 1750 | 0.505 | - | - | - | - | - |
| Neon | 2.76 | 41.7 | 44.4 | 0.311 | 81.0 | 63.6 | 30.7 | 44 | 973 |
| Nitrogen | 3.39 | 89.5 | 126.2 | 0.289 | 185.4 | 141.8 | 88.7 | 75 | 700 |
| Nitrogen dioxide | 10.1 | 84 | 431 | 0.240 | - | - | - | - | - |
| Nitrogen oxide | 6.48 | 57.7 | 180 | 0.250 | 15.9 | 11.0 | 372.3 | 122 | 311 |
| Oxygen | 5.04 | 73.4 | 154.6 | 0.288 | 152.8 | 117.0 | 108.8 | 90 | 400 |
| Ozone | 5.57 | 88.9 | 261.1 | 0.228 | - | - | - | - | - |
| Phosphine | 6.5 | - | 324.5 | - | 248.6 | 164.9 | 276.4 | 190 | 297 |
| Radon | 6.3 | - | 377 | - | - | - | - | - | - |
| Silane | 4.84 | - | 269.7 | - | - | - | - | - | - |
| Silicon tetrachloride | 3.59 | 326 | 508.1 | 0.277 | - | - | - | - | - |
| Silicon tetrafluoride | 3.72 | - | 259.0 | - | 346.7 | 257.2 | 185.5 | 206 | 475 |
| Sulfur | 20.7 | - | 1314 | - | - | - | - | - | - |
| Sulfur dioxide | 7.88 | 122 | 430.8 | 0.269 | 134.4 | 72.5 | 606.5 | 265 | 473 |
| Sulfur hexafluoride | 3.77 | - | 199 | 318.7 | 0.283 | 422.1 | 281.3 | 273.5 | 200 |
| Sulfur trioxide | 8.20 | 127 | 491.0 | 0.255 | - | - | - | - | - |
| Tin (IV) chloride | 3.75 | 351 | 591.9 | 0.267 | - | - | - | - | - |
| Uranium hexafluoride | 4.66 | 250 | 505.8 | 0.277 | 540.5 | 380.9 | 445.0 | 321 | 469 |
| Water | 22.06 | 56.0 | 647.1 | 0.229 | 33.0 | 15.2 | 1300.7 | 293 | 1248 |
| Xenon | 5.84 | 118 | 289.7 | 0.287 | 245.6 | 190.9 | 200.2 | 160 | 650 |
| Organic compounds | |||||||||
| Acetaldehyde | - | - | 461 | - | −71.8 | 12.3 | 1351 | 288 | 476 |
| Acetic acid | 5.79 | 171 | 592.7 | 0.201 | - | - | - | - | - |
| Acetone | 4.70 | 209 | 508.1 | 0.232 | - | - | - | - | - |
| Acetonitrile | 4.85 | 173 | 545.5 | 0.185 | - | - | - | - | - |
| Acetylene | 6.14 | 113 | 308.3 | 0.270 | 49.2 | 42.9 | 354.9 | 200 | 273 |
| Aniline | 5.31 | 287 | 699 | 0.262 | - | - | - | - | - |
| Benzene | 4.90 | 256 | 562.0 | 0.268 | 571.4 | 348.4 | 526.6 | 290 | 600 |
| Bromobenzene | 4.52 | 324 | 670 | 0.263 | - | - | - | - | - |
| Bromoethane | 6.23 | 215 | 503.9 | 0.320 | - | - | - | - | - |
| Bromomethane | - | - | 464 | - | 51.1 | 42.4 | 792.2 | 244 | 383 |
| (R13B1) | 3.97 | 196 | 340.2 | 0.275 | - | - | - | - | - |
| Buta-1,3-diene | 4.33 | 221 | 425 | 0.270 | - | - | - | - | - |
| Butane | 3.80 | 255 | 425.1 | 0.274 | 165.4 | 135.4 | 555 | 250 | 400 |
| Butanone | 4.21 | 267 | 536.8 | 0.252 | 948.6 | 314.6 | 702.4 | 315 | 371 |
| But-1-ene | 4.02 | 240 | 419.6 | 0.277 | 522.9 | 289.6 | 421.2 | 243 | 420 |
| cis-But-2-ene | 4.20 | 234 | 435.6 | 0.271 | 1369.5 | 778.2 | 297.4 | 251 | 343 |
| trans-But-2-ene | 3.98 | 238 | 428.6 | 0.266 | 1245.0 | 763.3 | 284.3 | 243 | 333 |
| Carbon tetrachloride | 4.56 | 276 | 556.4 | 0.272 | 607.6 | 463.0 | 461.0 | 316 | 419 |
| (R14) | 3.74 | 140 | 227.6 | 0.276 | 256.32 | 172.80 | 206.0 | 175 | 625 |
| Chlorobenzene | 4.52 | 308 | 632.4 | 0.265 | - | - | - | - | - |
| Chlorodifluoromethane | - | - | - | - | - | - | - | - | - |
| (R22) | 4.99 | 169 | 369.3 | 0.274 | 374.7 | 270.2 | 287.8 | 298 | 473 |
| Chloroethane | 5.30 | - | 460.4 | - | 182.4 | 88.4 | 717.9 | 273 | 605 |
| Chloroform | 5.47 | 239 | 536.4 | 0.293 | 485.7 | 272.5 | 542.7 | 316 | 400 |
| Chloromethane | 6.68 | 139 | 416.2 | 0.268 | 396.7 | 259.2 | 337.3 | 280 | 600 |
| Chlorotrifluoromethane | - | - | - | - | - | - | - | - | - |
| Cyclohexane | 4.07 | 308 | 553.5 | 0.273 | 677.3 | 393.2 | 531.4 | 300 | 560 |
| Cyclopentane | 4.51 | 260 | 511.7 | 0.275 | - | - | - | - | - |
| Cyclopropane | 5.58 | 162 | 398.3 | 0.274 | 355.7 | 255.2 | 316.7 | 303 | 403 |
| Diethylamine | 3.71 | 301 | 496.6 | 0.270 | 673.0 | 378.0 | 517.7 | 314 | 405 |
| Diethyl ether | 3.64 | 280 | 466.7 | 0.262 | 968.3 | 346.6 | 552.3 | 280 | 400 |
| Dimethylamine | 5.34 | - | 437.2 | - | 407.7 | 234.2 | 456.0 | 312 | 405 |
| Dimethyl ether | 5.37 | 190 | 400.0 | 0.307 | 371.0 | 267.4 | 351.3 | 273 | 328 |
| 2,2-Dimethylpropane | 3.20 | 311 | 433.8 | 0.276 | 407.0 | 281.0 | 450 | 250 | 440 |
| 1,4-Dioxan | 5.21 | 238 | 587 | 0.254 | - | - | - | - | - |
| Ethane | 4.87 | 146 | 305.3 | 0.279 | 267.3 | 191.5 | 256 | 210 | 500 |
| Ethanol | 6.14 | 168 | 514.0 | 0.241 | 864.6 | 45.4 | 1345 | 313 | 399 |
| Ethyl acetate | 3.83 | 286 | 523.2 | 0.252 | 982.9 | 407.5 | 598.1 | 330 | 399 |
| Ethylamine | 5.62 | 182 | 456 | 0.270 | 533.6 | 289.0 | 452.3 | 293 | 405 |
| Ethylene | 5.03 | 130 | 282.3 | 0.280 | 278.9 | 193.5 | 231.2 | 181 | 448 |
| Ethyl formate | 4.74 | 229 | 508.5 | 0.257 | 763.9 | 341.0 | 542.6 | 323 | 395 |
| Ethyl methyl ether | 4.40 | 221 | 437.8 | 0.267 | - | - | - | - | - |
| Fluorobenzene | 4.55 | 269 | 560.1 | 0.263 | 613.0 | 360.0 | 555.4 | 318 | 623 |
| Fluoromethane | 5.88 | 113 | 317.8 | 0.252 | 269.2 | 172.8 | 303.0 | 273 | 423 |
| Heptane | 2.74 | 428 | 540.2 | 0.261 | 982.0 | 523.9 | 582.3 | 300 | 700 |
| Hept-1-ene | - | - | 537.3 | - | 1245.0 | 635.1 | 530.9 | 334 | 411 |
| Hexane | 3.02 | 368 | 507.6 | 0.264 | 839.6 | 404.1 | 572.6 | 300 | 450 |
| Hex-1-ene | - | - | 504.0 | - | 836.6 | 460.4 | 507.1 | 313 | 410 |
| Iodobenzene | 4.52 | 351 | 721 | 0.265 | - | - | - | - | - |
| Iodomethane | - | - | 528 | - | 459.8 | 248.0 | 476.0 | 313 | 383 |
| Isobutane | 3.64 | 259 | 407.8 | 0.278 | 270.3 | 192.1 | 460 | 250 | 440 |
| Methane | 4.60 | 98.6 | 190.6 | 0.286 | 206.4 | 159.5 | 133.0 | 110 | 600 |
| Methanol | 8.08 | 117 | 512.5 | 0.223 | 14 | 3.958 | 1840 | 280 | 400 |
| Methyl acetate | 4.69 | 228 | 506.8 | 0.254 | 762.9 | 336.7 | 577.9 | 323 | 391 |
| Methylamine | 7.61 | - | 430.7 | - | 85.3 | 57.1 | 685.9 | 293 | 550 |
| 2-Methylbutane | 3.38 | 306 | 460.4 | 0.270 | 952.1 | 620.4 | 355.8 | 280 | 450 |
| Methylcyclohexane | 3.47 | 368 | 572.2 | 0.268 | - | - | - | - | - |
| Methylcyclopentane | 3.78 | 319 | 532.7 | 0.272 | - | - | - | - | - |
| Methyl formate | 6.00 | 172 | 487.2 | 0.255 | 581.0 | 269.3 | 525.5 | 319 | 397 |
| 2-Methylpentane | 3.04 | 368 | 497.7 | 0.270 | - | - | - | - | - |
| 2-Methylpropene | 4.00 | 239 | 417.9 | 0.275 | 722.1 | 354.4 | 405.8 | 243 | 333 |
| Naphthalene | 4.05 | 407 | 748.5 | 0.269 | - | - | - | - | - |
| Octafluorocyclobutane | 2.78 | 324 | 388.5 | 0.279 | 895.7 | 616.4 | 285.6 | 373 | 623 |
| Octane | 2.49 | 492 | 568.7 | 0.259 | 1138.0 | 536.1 | 672.5 | 300 | 700 |
| Oct-1-ene | - | - | 566.7 | - | 1328.0 | 631.5 | 614.2 | 359 | 412 |
| Pentane | 3.37 | 311 | 469.7 | 0.268 | 377.9 | 237.6 | 560 | 270 | 500 |
| Pent-1-ene | 3.53 | - | 464.8 | - | 655.7 | 344.2 | 499.9 | 294 | 410 |
| Phenol | 6.1 | - | 694.2 | - | - | - | - | - | - |
| Propadiene | - | - | 393 | - | 391.4 | 272.0 | 310.5 | 223 | 353 |
| Propane | 4.25 | 200 | 369.8 | 0.281 | 322.8 | 220.3 | 350 | 240 | 330 |
| Propan-1-ol | 5.17 | 218 | 536.8 | 0.252 | 861.9 | 297.3 | 669.2 | 378 | 423 |
| Propene | 4.60 | 181 | 364.8 | 0.274 | 286.6 | 197.0 | 349 | 220 | 400 |
| Propyne | 5.63 | 164 | 402.4 | 0.275 | 444.6 | 314.6 | 292.2 | 348 | 473 |
| Pyridine | 5.63 | 254 | 620.0 | 0.277 | 796.1 | 398.8 | 576.3 | 347 | 438 |
| Tetramethylsilane | 2.82 | 362 | 448.6 | 0.273 | 792.2 | 502.2 | 403.4 | 295 | 539 |
| Toluene | 4.11 | 316 | 591.8 | 0.264 | 719.1 | 373.3 | 646.4 | 341 | 583 |
| Triethylamine | 3.03 | 389 | 535.6 | 0.265 | 1261.6 | 739.1 | 442.1 | 323 | 405 |
| Trimethylamine | 4.09 | 254 | 432.8 | 0.288 | 747.0 | 466.5 | 347.3 | 298 | 375 |
| 2,2,4-Trimethylpentane | 2.57 | 468 | 544.0 | 0.266 | - | - | - | - | - |
| m-Xylene | 3.54 | 375 | 617.0 | 0.259 | - | - | - | - | - |
| o-Xylene | 3.73 | 370 | 630.3 | 0.263 | - | - | - | - | - |
| p-Xylene | 3.51 | 378 | 616.2 | 0.259 | - | - | - | - | - |