`
`l.g.7"
`5..
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`
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`
`CRC Handbook
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`A Ready-Reference Book of Chemical and Physical Data
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`E"
`r ,
`
`r :
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`ji'
`,
`5:. .
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`i.
`iL"
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`
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`IPR2018-01020 and IPR2018-01021, Exhibit 1038, Page 1
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`IPR2018-01020 and IPR2018-01021, Exhibit 1038, Page 2
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`

`

`STANDARD DENSITY OF WATER
`
`This table gives the density p of water in the temperature range
`from 0°C to 100°C at a pressure of 101325 Pa (one standard atmo—
`sphere). From 0°C to 40°C the values are taken from the IUPAC
`publication in Reference 1 and refer to standard mean ocean water
`(SMOW). free from dissolved salts and gases. SMOW is a stan-
`dard water sample of high purity and l<nOWn isotopic composi—
`tion. Methods of correcting for different isotopic compositions are
`discussed in Reference 1. The remaining values are taken from the
`NIST Chemistry WebBook, Reference 2.
`Note that the lUPAC values refer to the IPTS—68 temperature
`scale. while the N131 values are based on the ITS-90 scale (where
`the normal boiling point is 99.974°C). The conversion between
`these scales can be found in Sec. 1. The difference between the
`scales leads to a difference in the density of water of about 20 ppm
`in the neighborhood of 100°C and much less at lower tempera-
`tures.
`
`References
`
`
`
`
`. Marsh, K. N., Ed, Recommended Reference Materials )5,
`Realization of Physicochemi‘cal Properties, BlackWell
`Sciemj
`Publications, Oxford. 1987.
`. Lemmon, E.\X/.. McLinden, M.0., and Friend, D.G.. "Thermo
`
`thxiéir':
`.
`.
`. .
`.
`Properties of Fluid Systems
`in NIST Chemistry WebBook, NI
`Standard Reference Database Number 69. Eds. P.]. Linstrom ““1wa
`(
`
`Mallard, lune 2005. National Institute of Standards and TeCMOb'gy“:
`.
`Gaithersburg MD, 20899 (http://webbook.nist.gov).
`
`. Wagner,
`\V., and Pruss, A.. "The [APWS formulation 1995
`for
`f. ' i 8
`thermodynamic properties of ordinary water substance for and! _
`and scientific use", I. Phys. Chem. Ref Dam 31, 387—535. 2002.
`.
`
`. Saul, A., and Wagner, W., “A Fundamental Equation for Wain-
`I
`Covering the Range From the Melting Line to 1273 K at Pressures
`to 25000 M1337]. Phys. Chem. Ref Data 18, 1537- 1564. 1989.
`up .-
`
`‘
`
`‘
`
`pig cm"
`0.9998493
`0.9998558
`0.9998622
`0.9998683
`0.9998743
`0.9998801
`0.9998857
`0.9998912
`0.9998964
`0.9999015
`0.9999065
`0.9999112
`09999158
`0.9999202
`09999244
`0.9999284
`0.9999323
`0.9999360
`0.9999395
`0.9999429
`0.9999461
`0.9999491
`0.9999519
`0.9999546
`0.9999571
`09999595
`09999616
`0.9999636
`0.9999655
`09999672
`0.9999687
`0.9999700
`0.9999712
`09999722
`0.9999731
`0.9999738
`0.9999743
`0.9999747
`0.9999749
`0.9999750
`0.9999748
`0.9999746
`
`t/“C
`0.1
`0.2
`0.3
`0.4
`0.5
`0.6
`0.7
`0.8
`0.9
`1.0
`1.1
`1.2
`1.3
`1.4
`1.5
`1.6
`1.7
`1.8
`1.9
`2.0
`2.1
`2.2
`2.3
`2.4
`2.5
`2.6
`2.7
`2.8
`2.9
`3.0
`3.1
`3.2
`3.3
`3.4
`3.5
`3.6
`3.7
`3.8
`3.9
`4.0
`4.1
`4.2
`
`6-4
`
`tl’C p/g cm"3
`4.3
`0.9999742
`4.4
`0.9999736
`4.5
`0.9999728
`4.6
`0.9999719
`4.7
`09999709
`4.8
`09999696
`4.9
`0.9999683
`5.0
`0.9999668
`5.1
`0.9999651
`5.2
`0.9999632
`5.3
`09999612
`5.4
`0.9999591
`5.5
`0.9999568
`5.6
`0.9999544
`5.7
`0.9999518
`5.8
`0.9999490
`5.9
`0.9999461
`6.0
`09999430
`6.1
`0.9999398
`6.2
`0.9999365
`6.3
`0.9999330
`6.4
`0.9999293
`6.5
`0.9999255
`6.6
`0.9999216
`6.7
`0.9999175
`6.8
`0.9999132
`6.9
`0.9999088
`7.0
`09999043
`7.1
`0.9998996
`7.2
`0.9998948
`7.3
`0.9998898
`7.4
`09998847
`7.5
`0.9998794
`7.6
`0.9998740
`7.7
`0.9998684
`7.3
`0.9998627
`7.9
`0.9998569
`8.0
`0.9998509
`8.1
`0.9998448
`8.2
`0.9998385
`8.3
`0.9998321
`8.4
`0.9998256
`
`t/“C
`8.5
`8.6
`8.7
`8.8
`8.9
`9.0
`9.1
`9.2
`9.3
`9.4
`9.5
`9.6
`9.7
`9.8
`9.9
`10.0
`10.1
`10.2
`10.3
`10.4
`10.5
`10.6
`10.7
`10.8
`10.9
`11.0
`11.1
`11.2
`11.3
`11.4
`11.5
`11.6
`11.7
`11.8
`11.9
`12.0
`12.1
`12.2
`12.3
`12.4
`12.5
`12.6
`
`p/g cm'3
`0.9998189
`0.9998121
`0.9998051
`0.9997980
`0.9997908
`0.9997834
`0.9997759
`0.9997682
`0.9997604
`0.9997525
`0.9997444
`0.9997362
`0.9997279
`0.9997194
`0.9997108
`0.9997021
`0.9996932
`0.9996842
`0.9996751
`0.9996658
`0.9996564
`0.9996468
`0.9996372
`0.9996274
`0.9996174
`0.9996074
`0.9995972
`0.9995869
`0.9995764
`0.9995658
`0.9995551
`0.9995443
`0.9995333
`0.9995222
`09995110
`0.9994996
`0.9994882
`0.9994766
`0.9994648
`0.9994530
`0.9994410
`0.9994289
`
`t/°C
`12.7
`12.8
`12.9
`13.0
`13.1
`13.2
`13.3
`13.4
`13.5
`13.6
`13.7
`13.8
`13.9
`14.0
`14.1
`14.2
`14.3
`14.4
`14.5
`14.6
`14.7
`14.8
`14.9
`15.0
`15.1
`15.2
`15.3
`15.4
`15.5
`15.6
`15.7
`15.8
`15.9
`16.0
`16.1
`16.2
`16.3
`16.4
`16.5
`16.6
`16.7
`16.8
`
`p/g cm‘3
`0.9994167
`0.9994043
`0.9993918
`0.9993792
`0.9993665
`0.9993536
`0.9993407
`0.9993276
`0.9993143
`09993010
`0.9992875
`0.9992740
`09992602
`0.9992464
`0.9992325
`0.9992184
`0.9992042
`0.9991899
`0.9991755
`0.9991609
`0.9991463
`0.9991315
`09991166
`0.9991016
`0.9990864
`0.9990712
`0.9990558
`0.9990403
`0.9990247
`0.9990090
`0.9989932
`0.9989772
`0.9989612
`0.9989450
`0.9989287
`09989123
`0.9988957
`0.9988791
`0.9988623
`0.9988455
`0.9988285
`0.9988114
`
`|PR2018-01020 and |PR2018-01021, Exhibit 1038, Page 3
`
`t/°C
`16.9
`17.0
`17.1
`17.2
`17.3
`17.4
`17.5
`17.6
`17.7
`178
`17.9
`18.0
`18.1
`18.2
`18.3
`18.4
`18.5
`18.6
`18.7
`18.8
`18.9
`19.0
`19.1
`19.2
`19.3
`19.4
`19.5
`19.6
`19.7
`19.8
`19.9
`20.0
`20.1
`20.2
`20.3
`20.4
`20.5
`20.6
`20.7
`20.8
`20.9
`21.0
`
`
`p/g cm"
`0.9987942
`
`0.9987769
`
`0.9987595
`
`0.9987419
`
`0.9987243
`0.9987065
`
`0.9986886
`
`0.9986706
`
`0.9986525
`0.9986343
`
`0.9986160
`
`0.9985976
`
`0.9985790
`
`0.9985604
`3
`0.9985416 _
`.»
`
`0.9985228
`0.9985038
`
`0.9984847
`0.9984655
`
`0.9984462
`
`0.9984268
`
`0.9984073
`0.9983877
`
`0.9983680
`
`0.9983481
`0.9983282
`
`0.9983081
`
`0.9982880
`0.9982677
`
`
`0.9982474
`0.9982269
`
`0.9982063
`
`0.9981856
`
`0.9981649
`
`0.9981440
`
`0.9981230
`
`0.9981019
`0.9980807
`
`0.9980594
`
`0.9980380
`
`0.9980164
`0.9979943
`
`
`
`
`IPR2018-01020 and IPR2018-01021, Exhibit 1038, Page 3
`
`

`

`." 0.9978630
`
`{3043111 Density of Water
`t/“C
`26.1
`26.2
`26.3
`26.4
`26.5
`26.6
`26.7
`26.8
`26.9
`27.0
`27.1
`27.2
`27.3
`27.4
`27.5
`27.6
`27.7
`27.8
`27.9
`28.0
`28.1
`28.2
`28.3
`28.4
`28.5
`28.6
`28.7
`28.8
`28.9
`29.0
`29.1
`29.2
`29.3
`29.4
`29.5
`29.6
`29.7
`29.8
`29.9
`30.0
`30.1
`30.2
`30.3
`30.4
`30.5
`30.6
`30.7
`30.8
`30.9
`31.0
`
`
`
`'-0.9978406
`:51
`0.9978182
`"21.8
`'19 0.9977957
`
`,0. 0.9977730
`
`‘2‘21 . 0.9977503
`0.9977275
`
`0.9977045
`09976815
`
`0.9976584
`
`0.9976351
`
`" 0.9976118
`
`0.9975883
`
`0.9975648
`
`" -"; 0.9975412
`0.9975174
`
`0.9974936
`
`0.9974697
`
`0.9974456
`
`0.9974215
`
`0.9973973
`
`0.9973730
`
`0.9973485
`
`0.9973240
`
`0.9972994
`
`0.9972747
`
`0.9972499
`
`0.9972250
`
`0.9972000
`
`0.9971749
`
`0.9971497
`
`0.9971244
`
`0.9970990
`
`0.9970735
`
`0.9970480
`
`0.9970223
`
`0.9969965
`0.9969707
`
`0.9969447
`0.9969186
`
`0.9968925
`
`0.9968663
`
`0.9968399
`
`' 0.9968135
`
`0.9967870
`
`plg cnr3
`0.9967604
`0.9967337
`0.9967069
`0.9966800
`0.9966530
`0.9966259
`0.9965987
`0.9965714
`0.9965441
`0.9965166
`0.9964891
`0.9964615
`0.9964337
`0.9964059
`0.9963780
`0.9963500
`0.9963219
`0.9962938
`0.9962655
`0.9962371
`0.9962087
`0.9961801
`0.9961515
`0.9961228
`0.9960940
`0.9960651
`0.9960361
`0.9960070
`0.9959778
`0.9959486
`0.9959192
`0.9958898
`0.9958603
`0.9958306
`0.9958009
`0.9957712
`0.9957413
`0.99571 13
`0.9956813
`0.995651 1
`0.9956209
`0.9955906
`0.9955602
`0.9955297
`0.9954991
`0.9954685
`0.9954377
`0.9954069
`0.9953760
`0.9953450
`
`t/“C
`31.1
`31.2
`31.3
`31.4
`31.5
`31.6
`31.7
`31.8
`31.9
`32.0
`32.1
`32.2
`32.3
`32.4
`32.5
`32.6
`32.7
`32.8
`32.9
`33.0
`33.1
`33.2
`33.3
`33.4
`33.5
`33.6
`33.7
`33.8
`33.9
`34.0
`34.1
`34.2
`34.3
`34.4
`34.5
`34.6
`34.7
`34.8
`34.9
`35.0
`35.1
`35.2
`35.3
`35.4
`35.5
`35.6
`35.7
`35.8
`35.9
`36.0
`
`p/g cm" ’
`0.9953139
`0.9952827
`0.9952514
`0.9952201
`0.9951887
`0.9951572
`0.995 1255
`0.9950939
`0.9950621
`0.9950302
`0.9949983
`0.9949663
`0.9949342
`0.9949020
`0.9948697
`0.9948373
`0.9948049
`0.9947724
`0.9947397
`0.994707 1
`0.9946743
`0.9946414
`0.9946085
`0.9945755
`0.9945423
`0.9945092
`0.9944759
`0.9944425
`0.9944091
`0.9943756
`0.9943420
`0.9943083
`0.9942745
`0.9942407
`0.9942068
`0.9941728
`0.9941387
`0.9941045
`0.9940703
`0.9940359
`0.9940015
`0.9939671
`0.9939325
`0.9938978
`0.9938631
`0.9938283
`0.9937934
`0.9937585
`0.9937234
`0.9936883
`
`tl"C
`36.1
`36.2
`36.3
`36.4
`36.5
`36.6
`36.7
`36.8
`36.9
`37.0
`37.1
`37.2
`37.3
`37.4
`37.5
`37.6
`37.7
`37.8
`37.9
`38.0
`38.1
`38.2
`38.3
`38.4
`38.5
`38.6
`38.7
`38.8
`38.9
`39.0
`39.1
`39.2
`39.3
`39.4
`39.5
`39.6
`39.7
`39.8
`39.9
`40.0
`41.0
`42.0
`43.0
`44.0
`45.0
`46.0
`47.0
`48.0
`49.0
`50.0
`
`p/g cm'3 .
`0.9936531
`0.9936178
`0.9935825
`0.9935470
`0.99351 15
`0.9934759
`0.9934403
`0.9934045
`0.9933687
`0.993 3328
`0.9932968
`0.9932607
`0.9932246
`0.9931884
`0.993 1521
`0.9931 157
`0.9930793
`0.9930428
`0.9930062
`0.9929695
`0.9929328
`0.9928960
`0.9928591
`0.9928221
`0.9927850
`0.9927479
`0.9927107
`0.9926735
`0.9926361
`0.9925987
`0.9925612
`0.9925236
`0.9924860
`0.9924483
`0.9924105
`0.9923726
`0.9923347
`0.9922966
`0.9922586
`0.9922204
`0.99183
`0.99144
`0.99104
`0.99063
`0.99021
`0.98979
`0.98936
`0.98893
`0.98848
`0.98804
`
`6—5
`
`t/‘C p/g cm‘3
`51.0
`0.98758
`52.0
`0.98712
`53.0
`0.98665
`54.0
`0.98617
`55.0
`0.98569
`56.0
`0.98521
`57.0
`0.98471
`58.0
`0.98421
`59.0
`0.98371
`60.0
`0.98320
`61.0
`0.98268
`62.0
`0.98216
`63.0
`0.98163
`64.0
`0.98109
`65.0
`0.98055
`66.0
`0.98000
`67.0
`0.97945
`68.0
`0.97890
`69.0
`0.97833
`70.0
`0.97776
`71.0
`0.97719
`72.0
`0.97661
`73.0
`0.97603
`74.0
`0.97544
`75.0
`0.97484
`76.0
`0.97424
`77.0
`0.97364
`78.0
`0.97303
`79.0
`0.97241
`80.0
`0.97179
`
`0.97116
`81.0
`0.97053
`82.0
`0.96990
`83.0
`0.96926
`84.0
`0.96861
`85.0
`0.96796
`86.0
`0.96731
`87.0
`0.96664
`88.0
`0.96598
`89.0
`0.96531
`90.0
`0.96463
`91.0
`0.96396
`92.0
`0.96327
`93.0
`0.96258
`94.0
`0.96189
`95.0
`0.961 19
`96.0
`0.96049
`97.0
`0.95978
`98.0
`0.95907
`99.0
`99.974 0.95837
`
`
`
`|PR2018-01020 and |PR2018-01021, Exhibit 1038, Page 4
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`
`IPR2018-01020 and IPR2018-01021, Exhibit 1038, Page 4
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`