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`‘Air - Density vs. Pressure and Temperature
`‘Air density at pressure ranging 1 to 10 000 bara (14.5 - 145000 psi) and constant
`‘selected temperatures.
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`; Figures showing air density at ambient pressures (80-105 kPa, 0.8-1.05 bara, 11.6-15.4 psia) and
`
`@ %
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`: Density is the ratio of the mass to the volume of a substance:
`p=mv
`
`(1
`
`where
`
`p = density,units typically [kg/m? ] or [Ib/ft? ]
`m = mass,units typically [ka] or [Ib]
`
`V = volume,units typically [m3 ] or (ft? ]
`
`: Tabulated values and density units conversion are given below the figures.
`: See also Air Composition and molecular weight , Density and specific weight at varying temperature,
`: Diffusion Coefficients for Gases in Air , Dynamic (absolute) and kinematic viscosity , Prandtl Number,
`: Specific heat at varying temperature and Specific heat at varying pressure , Thermal Conductivity ,
`; Thermal Diffusivity , Properties at gas-liquid equilibrium conditions and Air thermophysical properties ,
`: for other properties of air .
`
`Density of air at ambient temperatures and pressures
`
`]
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`130
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`120
`145
`va
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`1%
`105
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`5
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`— 6c
`—10°C
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`12°C
`—i6"C
`—18"C
`—?22*
`—i24"t
`—28"C
`<a
`
`1.00
`
`0.95
`
`090
`
`80
`
`8
`
`Tha Engineering ToolBox
`=
`95
`100
`90
`Air Pressure [kPa]
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`:
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`105
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`Density of air at ambient temperatures and pressures
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`25
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`22
`21
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`19
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`im
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`115
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`12.0
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`125
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`15
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`5.0
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`15.5
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`13.5
`13.0
`Air Pressure[psial
`
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`11.4,12
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`i Figures showing air density as function of gauge pressure (0-20 bar, 0-300 psi) at selected
`: temperatures:
`
` at varying pressu
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`Themen olg
`Gauge pressure [bar]
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`: Figures showing air density as function of absolute pressure (1-10 000 bar, 14.5 - 150 000 psia) at
`: selected temperatures:
`
`density
`and
`
`temp
`
`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
`Page 1 of 4
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`1/4
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` 
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`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
`Page 1 of 4
`
`

`

`  ÿÿ
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`11/8/24, 11:10 AM 1000
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`100K
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`reveled
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`Trin tg
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`Weightor density ofair ( pounds per cubic foot) fordifferent gauge pressures (psi) :
`Air - Density vs. Pressure and Temperatures- imperial Units
`pressure
`Density of air [Ibvft? ] at different temperatures [°F]
`ae
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`Ips)|WH 300|40040 530) 60) 70 680 HO 100 120 140) 150 200 250 500 600
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`0
`0.081 0.080 0.078 0.076 0.075 0.074 0.072 0.071 0.069 0.066) 0.065 0.060 0.056 0.052 0.046 0.041 0.038
`5
`0.109 0.107 0.105) 0.102 0.107 0.099 (0.097 0.095 0.092 0.089 0.087 0.081 0.075) 0.070 0.062 0.056 0.05
`10)|0.136 0.134 0.131 0.128) 0.126 0.124 0.121 0.179 0.1715 0.117) 0.109 0.107 0.054 0.086 0.078 0.070 0.063
`20)
`0.192 0.188 0.185 0.180 0.177 0.174 0.177 0.168 0.162 0.156 0.154 0.142 0.132 0.123) 0.109 0.098 0.0389
`30)|0.247 0.242 0.238 0.232 0.228 0.224 0.220 0.216 0.208 0.201) 0.198 0.183 0.170 0.159 0.141 0.126 0.114
`
`40=|0.302 0.295 0.251 0.284 0.279 0.274 0.269 0.264 0.255 0.246) 0.242 0.225 0.208 0.195 0.172 0.154 0.140
`30|0.357 0.350 0.344 0.336) 0.330 0.324 0.318 0.312 0.302 0.291 0.287 0.265 0.246 0.23 0.203 0.182 0.165
`
`60=|0.412 0.404 0.397 0.338 0.381 0.374 0.367 0.361 0.348 0.337) 0.331 0.306 0.284 0.266 0.235 0.210 0.190
`70=0.467 0.458 0.451 0.440 0.432 0.424 0.416 0.409 0.395 0.382) 0.375 0.347 0.322 0.301 0.266 0.238 0.216
`
`80=|0.522 0.512 0.504 0.492 0.483 0.474 0.465 0.457 0.441 0.427 0.420 0.338 0.361 0.337 0.298 0.267 0.241
`
`90«=|0.578 0.566 0.557 0.544 0.534 0.524 0.515 0.505 0.488 0.472 0.464 0.429 0.399 0.372 0.329 0.295 0.267
`100)=(0.633 0.620 0.610 0.596 0.585 0.574 0.564 0.554 0.535 0.517 0.508 0.470 0.437 0.408 0.360 0.323 0.252
`120
`(0.743 0.728 0.717 0.700 0.687 0.674 0.662 0.650 0.628 0.607 0.597 0.552 0.513 0.479 0.423 0.379 0.343
`
`140)=|-0.853 0.836 0.623 0.804 0.789 0.774 0.760) 0.747 0.721 0.697 0.686 0.634 0.589 0.550 0.486 0.436 0.394
`150=0.909 0.890 0.876 0.856 0.640 0.824 0.809 0.795 0.768 0.742 0.730 0.675 0.627) 0.586 0.518 0.464 0.420
`200|1.185 1.161 1.142 1.116 1.095 1.075 1.055) 1.036 1.001 (0.967) 0.951/ 0.879 0.617 0.764 0.675 0.604 0.547
`250)
`146 1431 1408 1.376 1.350 1.325 1.301) 1.278 1.234 1.193) 1.173) 1.084 1.008 0.941 0.832 0.745) 0.675
`300
`1.736 1.702 1.674 1.636 1.605 1.575 1.547 1.519 1.467 1.418 1.395 1.289 1.198) 1.119 0.989 0.886 0.602
`
`
`400 229 224 221 216 2.12|2.08) 2.04) 200 1.933 1.868) 1.838) 1.698 1.579 1.475 1.303 1.167) 1.057
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`
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`500 284 278 274 268 263 (258 253/248 24|2.32) 228) 2.11 1959 183 1618/1449) 1312
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`700)|3.94 3.8|3.72) 3.65|3.58|3.51) 345 3.33|3.22) 3.17|293) 254) 2.25|2.01|1.8223.86) 272)
`
`
`800
`(449 44
`#433 424 4.16
`(408 400/393 38
`(367) 361
`334
`3.1
`29 256 229) 208
`
`
`900 (458|450 442 426 412) 405 3.75|3.48 2.87|2.58|2335.05 495 487 476) 467 3.25
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`
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`00|56 549 54 528/518 508 499° 49 473 457) 45 416 3.86 361/319 236 259
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`
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`Weight or density ofair ( kilograms per cubic meter) for different gauge pressures (bar) :
`Air - Density vs. Pressure and Temperatures - SI Units
`
`Gauge
`Density of air [kg/m? ] at different temperatures [°C]
`pressure
`15.60
`10.00
`440
`1.00
`21.1
`26.7 322 37.8 48.9 60.0 656 93.3 121.1 148.9 204.4 260.0 315.6
`[bar]
`
`
`
`
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`
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`0.00|1.30 1.11|1.06)128 1.25 1.22) 1.200 1.19) 1.15) 1.14 1.04) 0.96 090) 0.83) 0.74 0.66) 0.67
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`O34|175 1.71|168) 1.47|1.43) 1.30|1.20)163) 162 159) 155) 152 1.39) 1.12) 0.99 0.90) 0.80
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`069|218 215) 205) 202|199) 194) 197|1.84) 1.62|1.57|147) 1.25|1.12)2.10) 1.78) 1.75) 1.07
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`1.38|3.08 274) 269 259|250) 247|227|211) 1.75|1.57)3.01 296 288) 264 279) 1.97) 1.43
`
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`
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`207|3.96 3.88|3.81) 3.46|3.33|3.22) 3.17|293|272) 255) 2.26|2.02) 1833.72) 3.65 3.59) 352)
`
`
`
`
`272
`484 473 466 455 447 439 431 423 408 394/388 360
`(333
`312)
`2.76 247 224
`3.45
`572 561
`551
`538 5.29 519/509 500
`484 (466
`460) 424
`394 368 3.25
`292) 264
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`
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`414|660 647 636 622) 3.76|3.36)6.10 599/588 578 557 (5.40) 530/490 455 426) 3.04
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`483|748 7.34 7.22) 7.05) 6.92 6.79 666) 655 6.33 6.12) 6.01 556 5.16) 482/426 3.81 346
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`5.52|836 820 807 7.88) 7.06|6.84) 673) 622 578 540) 477|428)7.74 7.59) 7.45 7.32 3.86
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`
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`621 (926 907/692 6.71) 655 839/625) 609 7.82|7.56) 743/687 6.39 596) 5.27 473) 426
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`
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`6.89 9.03 887 857|6.28) 5.77|5.17) 468(10.14 993 9.77 955) 9.37 9.19) 814) 7.53 7.00 654)
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`8.27=|11:90 11.66 11.49 11.21 11.00 10.80 10.60 10.41 10.06) 9.72 956 884 822 767 6.78 6.07) 549
`
`9.65|13.66 13.39 13.18 12.88) 12.64 12.40) 12.17 11.97 11.55 11.16) 10.99 10.16 943 6.61) 7.78 698) 6.37
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`
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`10.34|14.56 14.26 14.03) 13.71 13.46 13.20 12.96) 12.73 12.30 11.89 11.69 10.81 10.04) 939 630 7.43 6.73
`
`13.79=|18.98 16.60 18.29) 17.88 17.54 17-22 16.90 16.60 16.03 15.49 15.23 14.08 13.09) 12.24 10.81 9.68|3.76
`W724|23.39 22.92 22.55 22.04 21.62 21.22 20.84 20.47 19.77 19.11 18.79 17.36 16.15 15.07 13.33 11.93 10.81
`
`20.68=|27.81 27.26 26.81) 26.21 25.71 25.23 24.78 24.33 23.50 22.71 2235 20.65 19.19) 17.92 15.84 14.19 12.35
`27.58©36.68 35.88 35.40) 34.60 33.96 33.32 32.68) 32.04 30.96 29.92 29.44 27.20 25.29 23.63 20.87 18.69 16.93
`MAT
`45.49 4453 43.89 42.93 42.13 41.33 40.53 39.73 30.44 37.16 36.52 33.80 31.38 29.31 25.92 23.21 21.02
`48.26
`63.11 61.83 60.87) 59.59 58.47 57.35 56.22 55.26 53.34 51.58 50.78 46.93 43.57) 40.69 36.04 3220 29.19
`55.16
`671.92 70.48 69.36 67.92 66.64 65.36 64.07 62.95 60.87 58.79 57.83 53.50 49.66 46.45 41.01 36.68 33.32
`62.05
`80.89 79.29 78.01 76.25 74.81 73.36 72.08 70.80 68.24 66.00 64.87 60.07 55.74) 52.06 45.97 41.33 37.32
`68.95
`39.70 87.94 36.50 84.58 82.98 31.37 79.93 76.49 75.77 73.20 72.08 66.64 61.83) 57.83 51.10 45.01 41.49
`
`Density units conversion:
`
`Density converter
`killogram/cubic meter [ka/m3 ] = gramilliter [g/l], kilogram/liter [kq/I] = gram/cubic centimeter (g/cm?J=
`ton(metric)icubic meter [t/m? ], once/gallon(USliquid) [oz/gal(USliq)] pound/cubicinch[Ib/in?],
`pound/cubicfoot(lb/ft? }, pound/gallon(UK)[Ib/gal(UK)], pound/gallon(US liquid) [Ib/gal(US liq)],
`slug/cubicfoot[s\/ft? ], ton(short)/cubic yard [ton(short)/yd?], ton(long)/cubic yard [yd?]
`
`1 gicm? = 1 kg/l = 1000 kg/m? = 62.428 Ibift? = 0.03613 Ib/in? = 1.9403 si/ft? = 10.0224 Ib/gal(UK)=
`8.3454 Ib/gal(USliq) = 0.5780 oz/in3 = 0.7525 ton(long)/yr?
`1 g/l = 1 kg/m? = 0.001kg/l = 0.000001 kg/cm? = 0.001 g/cm? = 0.99885 oz/ft3 = 0.0005780 oz/in? =
`0.16036 oz/gal(UK) = 0.1335 oz/gal(USliq) = 0.06243 lb/ft? = 3.6127x10-5 Ib/in? = 1.6856 Ib/yd? =
`0.010022Ib/gal(UK) = 0.0083454 Ib/gal(USliq) = 0.0007525 ton(long)/yd? = 0.0008428
`ton(short)'yd3
`1 kgil = 1 g/cm? = 1000 kg/m? = 62.428Ib/ft? = 0.03613 Ib/in? = 1.9403 si/ft? = 8.3454 Ib/gal(USliq) =
`0.5780 ozlin? = 0.7525 ton(long)yr?
`1 kg/m? = 1 gil = 0.001 kg/l = 0.000001 kg/cm? = 0.001 g/cm? = 0.99885 oz/ft? = 0.0005780 oz/in? =
`0.16036 oz/gal(UK) = 0.1335 oz/gal(US liq) = 0.06243 lb/ft} = 3.6127%x10-5 Ib/in? = 1.6856 Ib/yd? =
`0.010022 Ib/gal(UK) = 0.008345Ib/gal(US liq) = 0.0007525 ton(long)/yd? = 0.0008428 ton(short)/yd?
`1 Ib/ft? = 27 Ibyd? = 0.009259 oz/in? = 0.0005787Ib/in? = 16.01845 kg/m? = 0.01602 g/cm? = 0.1605
`Ib/gal(UK) = 0.1349 Ib/gal(US liq) = 2.5687 oz/gal(UK) = 2.1389 oz/gal(USliq) = 0.01205
`ton(long)/yd? = 0.0135 ton(short)/yd?
`1 Ib/gal(UK) = 0.8327 Ib/gal(USliq) = 16 oz/gal(UK) = 13.323 oz/gal(USliq) = 168.179Ib/yd? =
`6.2288Ib/ft? = 0.003605Ib/in3 = 0.05767oz/in? = 99.7764 kgim? = 0.09977 gicm? = 0.07508
`ton(long)/yd? = 0.08409 ton(short)lyd?
`1 Ib/gal(USliq) = 1.2009 Ib/gal(UK) = 19.215 oz/gal(UK) = 16 oz/gal(US liq) = 201.97 Ib/yd? = 7.4805
`Ib/ft? = 0.004329 Ib/in3 = 0.06926 oz/in? = 119.826 kg/m? = 0.1198 g/cm? = 0.09017 ton(long)'yd? =
`0.1010 ton(short)/yd?
`1 Ibvin3 = 1728 lb/ft} = 46656 Ib/yd? = 16 oz/in? = 27680 kg/m? = 27.680 gicm3 = 277.419 Ibigal(UK)
`= 231 Ib/gal(USliq) =4438.7 oz/gal(UK) = 3696 oz/gal(US liq) = 20.8286 ton(long)/yd? = 23.3280
`ton(short)’yd3
`1 oz/gal(UK) = 0.8327 oz/gal(US liq) = 6.2360 kg/m? = 6.2288 oz/ft? = 0.3893 Ib/ft? = 10.5112 Ib/yd?
`1 oz/gal(USliq) = 1.2009 oz/gal(UK) = 7.4892 ka/m? = 7.4805 oz/ft? = 0.4675Ib/ft? = 12.6234 Ib/yd3
`1 sift? = 515.3788 kg/m? = 514.7848 ozift? = 0.2979 ozlin3 = 32.1741 Ib/ft? = 82.645 ozigal(UK) =
`68.817 ozigal(US liq)
`1 ton(long)/yd3 = 1.12 ton(short)/yd? = 1328.94 kg/m? = 0.7682 oz/in3 = 82.963 Ib/ft? = 2240 Ib/yd3 =
`2.5786 sift? = 13.319 Ib/gal(UK) = 11.0905Ib/gal(USliq)
`1 ton(short)/yd? = 0.8929 ton(long)/yd? = 1186.55 kg/m? = 0.6859 oz/in? = 74.074 lb/ft? = 2000 Ib/yd?
`
`chrome-extension://gpmljinohlbfgmeoaeceoajachkabijo/edit-react.html
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   ! 
`
`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
`Page 2 of 4
`
`2/4
`
` 
`
`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
`Page 2 of 4
`
`

`

`Annotate Image
`
`
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` 

 ÿ
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`11/5/24, 11:10 AM
`
`  ÿÿ
`
`
`= 2.3023 sit? = 11.8921 Ib/gal(UK) = 9.9023 Ib/gal(US liq)
`
`Examples
`The density of air can be calculated as
`
`p= 1.325 Pin ug! Tr
`
`= 2.7 Dosia/ Tp
`
`= 2.7 (Dpsig + 14.7) / (Tp + 459.7)
`where
`
`p= density (Ib/t? )
`
`Pin Hg = absolute pressure (inches Hg)
`
`TR = absolute temperature (Rankine)
`
`Posia = absolute pressure (psia)
`
`Posig = Gage pressure (psig)
`
`Tr = temperature (°F)
`
`(1)
`
`Example - Weight of Air
`The density of air at pressure 29.92 inches Hg at 100 degrees F can be calculated as
`
`p = 1.325 ( 29.92 inches Hg ) / ((100 °F) + 459.7)
`
`= 0.0708 Ibftt?
`
`The weight of 10 ft air can be calculated as
`
`W = (10 ff ) (0.071 Inf? )
`= 0.708Ib
`
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`Anintroduction to density, specific weight and specific gravity.
`Dry Air - Thermodynamic and Physical Properties
`Thermodynamic properties of dry air - specific heat, ratio of specific heats, dynamic viscosity, thermal
`conductivity, Prandtl number, density and kinematic viscosity at temperatures ranging 175 - 1900 K.
`Dry Air and Water Vapor - Density and Specific Volume vs. Temperature- Imperial
`Units
`Density and specific volume of dry air and water vapor at temperatures ranging 225 to 900 degF (107
`to 482 degC).
`+ Hydrogen- Density and Specific Weight vs. Temperature and Pressure
`Online calculator, figures and tables showing density and specific weight of hydrogen, H2,at
`temperatures ranging from -260 to 325 °C (-435 to 620 °F) at atmospheric and higher pressure -
`Imperial and SI! Units.
`Moist Air - Specific Volume
`Specific volume of moist air is defined as the total volume of humid air per mass unit of dry air
`MoistAir - Weight of Water Vapor
`
`chrome-extension://gpmljinohlbfgmeoaeceoajachkabijo/edit-react.html
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`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
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`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
`Page 3 of 4
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`

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`Annotate Image
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`Weight of water vaporin air
`« Pentane - Density and Specific Weight vs. Temperature and Pressure
`Online calculator, figures and table showing density and specific weight of pentane, C5H12,at
`temperatures ranging from -130 to 325 °C (-200 to 620 °F) at atmospheric and higher pressure -
`Imperial and SI Units.
`¢ Solubility of Air in Water
`The amountofair that can be dissolved in water decreases with temperature and increases with
`pressure.
`« Wind Power
`Powergeneration from wind.
`
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`chrome-extension://gpmljinohlbfgmeoaeceoajachkabijo/edit-react.html
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`

 

 







   ! 
`
`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
`Page 4 of 4
`
`4/4
`
` 
`
`Exhibit 1124
`Bazooka v. Nuhn - IPR2024-00098
`Page 4 of 4
`
`