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# Air - Density vs. Pressure and Temperatures

Density is the ratio of the mass to the volume of a substance:

ρ = m/V                                          

where

ρ = density, units typically [kg/m 3 ] or [lb/ft 3 ]

m = mass, units typically [kg] or [lb]

V = volume, units typically [m 3 ] or [ft 3 ]

Tabulated values and density units conversion are given below the figures.

See Density and specific weight o f acetone , ammonia , argon , benzene , butane , carbon dioxide , carbon monoxide , ethane , ethanol , ethylene , helium , hydrogen , methane , methanol , nitrogen , oxygen , pentane , propane , toluene and water , as well as Density of crude oil , Density of fuel oils , Density of lubricating oil and Density of jet fuel as function of temperature.

Figures showing air density at ambient pressures (80-105 kPa, 0.8-1.05 bara, 11.6-15.4 psia) and temperatures:

Figures showing air density as function of gauge pressure (0-20 bar, 0-300 psi) at selected temperatures:

Figures showing air density as function of absolute pressure (1-10 000 bar, 14.5 - 150 000 psia) at selected temperatures:

Weight or density of air ( pounds per cubic foot) for different gauge pressures (psi) :

For full table - rotate the screen!

 Gauge pressure Density of air [lb/ft 3 ] at different temperatures [°F] [psi] 30 40 50 60 70 80 90 100 120 140 150 200 250 300 400 500 600 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 0.101 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 0.119 0.115 0.111 0.109 0.101 0.094 0.088 0.078 0.070 0.063 20 0.192 0.188 0.185 0.180 0.177 0.174 0.171 0.168 0.162 0.156 0.154 0.142 0.132 0.123 0.109 0.098 0.089 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 0.291 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 50 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 0.388 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 0.388 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 0.292 120 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 0.823 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 0.840 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 0.817 0.764 0.675 0.604 0.547 250 1.46 1.431 1.408 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 0.802 400 2.29 2.24 2.21 2.16 2.12 2.08 2.04 2.00 1.933 1.868 1.838 1.698 1.579 1.475 1.303 1.167 1.057 500 2.84 2.78 2.74 2.68 2.63 2.58 2.53 2.48 2.4 2.32 2.28 2.11 1.959 1.83 1.618 1.449 1.312 700 3.94 3.86 3.8 3.72 3.65 3.58 3.51 3.45 3.33 3.22 3.17 2.93 2.72 2.54 2.25 2.01 1.822 800 4.49 4.4 4.33 4.24 4.16 4.08 4.00 3.93 3.8 3.67 3.61 3.34 3.1 2.9 2.56 2.29 2.08 900 5.05 4.95 4.87 4.76 4.67 4.58 4.50 4.42 4.26 4.12 4.05 3.75 3.48 3.25 2.87 2.58 2.33 1000 5.6 5.49 5.4 5.28 5.18 5.08 4.99 4.9 4.73 4.57 4.5 4.16 3.86 3.61 3.19 2.86 2.59

Weight or density of air ( kilograms per cubic meter) for different gauge pressures (bar) :

For full table - rotate the screen!

 Gauge pressure Density of air [kg/m 3 ] at different temperatures [°C] [bar] -1.1 4.4 10.0 15.6 21.1 26.7 32.2 37.8 48.9 60.0 65.6 93.3 121.1 148.9 204.4 260.0 315.6 0.00 1.30 1.28 1.25 1.22 1.20 1.19 1.15 1.14 1.11 1.06 1.04 0.96 0.90 0.83 0.74 0.66 0.61 0.34 1.75 1.71 1.68 1.63 1.62 1.59 1.55 1.52 1.47 1.43 1.39 1.30 1.20 1.12 0.99 0.90 0.80 0.69 2.18 2.15 2.10 2.05 2.02 1.99 1.94 1.91 1.84 1.78 1.75 1.62 1.51 1.41 1.25 1.12 1.01 1.38 3.08 3.01 2.96 2.88 2.84 2.79 2.74 2.69 2.59 2.50 2.47 2.27 2.11 1.97 1.75 1.57 1.43 2.07 3.96 3.88 3.81 3.72 3.65 3.59 3.52 3.46 3.33 3.22 3.17 2.93 2.72 2.55 2.26 2.02 1.83 2.72 4.84 4.73 4.66 4.55 4.47 4.39 4.31 4.23 4.08 3.94 3.88 3.60 3.33 3.12 2.76 2.47 2.24 3.45 5.72 5.61 5.51 5.38 5.29 5.19 5.09 5.00 4.84 4.66 4.60 4.24 3.94 3.68 3.25 2.92 2.64 4.14 6.60 6.47 6.36 6.22 6.10 5.99 5.88 5.78 5.57 5.40 5.30 4.90 4.55 4.26 3.76 3.36 3.04 4.83 7.48 7.34 7.22 7.05 6.92 6.79 6.66 6.55 6.33 6.12 6.01 5.56 5.16 4.82 4.26 3.81 3.46 5.52 8.36 8.20 8.07 7.88 7.74 7.59 7.45 7.32 7.06 6.84 6.73 6.22 5.78 5.40 4.77 4.28 3.86 6.21 9.26 9.07 8.92 8.71 8.55 8.39 8.25 8.09 7.82 7.56 7.43 6.87 6.39 5.96 5.27 4.73 4.28 6.89 10.14 9.93 9.77 9.55 9.37 9.19 9.03 8.87 8.57 8.28 8.14 7.53 7.00 6.54 5.77 5.17 4.68 8.27 11.90 11.66 11.49 11.21 11.00 10.80 10.60 10.41 10.06 9.72 9.56 8.84 8.22 7.67 6.78 6.07 5.49 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 9.43 8.81 7.78 6.98 6.31 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 9.39 8.30 7.43 6.73 13.79 18.98 18.60 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 8.76 17.24 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 22.35 20.65 19.19 17.92 15.84 14.19 12.85 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 34.47 45.49 44.53 43.89 42.93 42.13 41.33 40.53 39.73 38.44 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 32.20 29.19 55.16 71.92 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 89.70 87.94 86.50 84.58 82.98 81.37 79.93 78.49 75.77 73.20 72.08 66.64 61.83 57.83 51.10 45.81 41.49

Density units conversion:

Density converter

kilogram/cubic meter [kg/m 3 ] = gram/liter [g/l], kilogram/liter [kg/l] = gram/cubic centimeter [g/cm 3 ]= ton(metric)/cubic meter [t/m 3 ], once/gallon(US liquid) [oz/gal(US liq)] pound/cubic inch [lb/in 3 ], pound/cubic foot [lb/ft 3 ], pound/gallon(UK) [lb/gal(UK)], pound/gallon(US liquid) [lb/gal(US liq)], slug/cubic foot [sl/ft 3 ], ton(short)/cubic yard [ton(short)/yd 3 ], ton(long)/cubic yard [yd 3 ]

• 1 g/cm 3 = 1 kg/l = 1000 kg/m 3 = 62.428 lb/ft 3 = 0.03613 lb/in 3 = 1.9403 sl/ft 3 = 10.0224 lb/gal(UK) = 8.3454 lb/gal(US liq) = 0.5780 oz/in 3 = 0.7525 ton(long)/yr 3
• 1 g/l = 1 kg/m 3 = 0.001 kg/l = 0.000001 kg/cm 3 = 0.001 g/cm 3 = 0.99885 oz/ft 3 = 0.0005780 oz/in 3 = 0.16036 oz/gal(UK) = 0.1335 oz/gal(US liq) = 0.06243 lb/ft 3 = 3.6127x10-5 lb/in 3 = 1.6856 lb/yd 3 = 0.010022 lb/gal(UK) = 0.0083454 lb/gal(US liq) = 0.0007525 ton(long)/yd 3 = 0.0008428 ton(short)/yd 3
• 1 kg/l = 1 g/cm 3 = 1000 kg/m 3 = 62.428 lb/ft 3 = 0.03613 lb/in 3 = 1.9403 sl/ft 3 = 8.3454 lb/gal(US liq) = 0.5780 oz/in 3 = 0.7525 ton(long)/yr 3
• 1 kg/m 3 = 1 g/l = 0.001 kg/l = 0.000001 kg/cm 3 = 0.001 g/cm 3 = 0.99885 oz/ft 3 = 0.0005780 oz/in 3 = 0.16036 oz/gal(UK) = 0.1335 oz/gal(US liq) = 0.06243 lb/ft 3 = 3.6127x10-5 lb/in 3 = 1.6856 lb/yd 3 = 0.010022 lb/gal(UK) = 0.008345 lb/gal(US liq) = 0.0007525 ton(long)/yd 3 = 0.0008428 ton(short)/yd 3
• 1 lb/ft 3 = 27 lb/yd 3 = 0.009259 oz/in 3 = 0.0005787 lb/in 3 = 16.01845 kg/m 3 = 0.01602 g/cm 3 = 0.1605 lb/gal(UK) = 0.1349 lb/gal(US liq) = 2.5687 oz/gal(UK) = 2.1389 oz/gal(US liq) = 0.01205 ton(long)/yd 3 = 0.0135 ton(short)/yd 3
• 1 lb/gal(UK) = 0.8327 lb/gal(US liq) = 16 oz/gal(UK) = 13.323 oz/gal(US liq) = 168.179 lb/yd 3 = 6.2288 lb/ft 3 = 0.003605 lb/in3 = 0.05767 oz/in 3 = 99.7764 kg/m 3 = 0.09977 g/cm 3 = 0.07508 ton(long)/yd 3 = 0.08409 ton(short)/yd 3
• 1 lb/gal(US liq) = 1.2009 lb/gal(UK) = 19.215 oz/gal(UK) = 16 oz/gal(US liq) = 201.97 lb/yd 3 = 7.4805 lb/ft 3 = 0.004329 lb/in3 = 0.06926 oz/in 3 = 119.826 kg/m 3 = 0.1198 g/cm 3 = 0.09017 ton(long)/yd 3 = 0.1010 ton(short)/yd 3
• 1 lb/in 3 = 1728 lb/ft 3 = 46656 lb/yd 3 = 16 oz/in 3 = 27680 kg/m 3 = 27.680 g/cm 3 = 277.419 lb/gal(UK) = 231 lb/gal(US liq) =4438.7 oz/gal(UK) = 3696 oz/gal(US liq) = 20.8286 ton(long)/yd 3 = 23.3280 ton(short)/yd 3
• 1 oz/gal(UK) =  0.8327 oz/gal(US liq) = 6.2360 kg/m 3 = 6.2288 oz/ft 3 = 0.3893 lb/ft 3 = 10.5112 lb/yd 3
• 1 oz/gal(US liq) = 1.2009 oz/gal(UK) = 7.4892 kg/m 3 = 7.4805 oz/ft 3 = 0.4675 lb/ft 3 = 12.6234 lb/yd 3
• 1 sl/ft 3 = 515.3788 kg/m 3 = 514.7848 oz/ft 3 = 0.2979 oz/in 3 = 32.1741 lb/ft 3 = 82.645 oz/gal(UK) = 68.817 oz/gal(US liq)
• 1 ton(long)/yd 3 = 1.12 ton(short)/yd 3 = 1328.94 kg/m 3 = 0.7682 oz/in 3 = 82.963 lb/ft 3 = 2240 lb/yd 3 = 2.5786 sl/ft 3 = 13.319 lb/gal(UK) = 11.0905 lb/gal(US liq)
• 1 ton(short)/yd 3 = 0.8929 ton(long)/yd 3 = 1186.55 kg/m 3 = 0.6859 oz/in 3 = 74.074 lb/ft 3 = 2000 lb/yd 3 = 2.3023 sl/ft 3 = 11.8921 lb/gal(UK) = 9.9023 lb/gal(US liq)

### Examples

The density of air can be calculated as

ρ = 1.325 p in Hg / T R

= 2.7 p psia / T R

= 2.7 (p psig + 14.7) / (T F + 459.7)                                                   (1)

where

ρ = density (lb/ft 3 )

p in Hg = absolute pressure (inches Hg)

T R = absolute temperature (Rankine)

p psia = absolute pressure (psia)

p psig = gage pressure (psig)

T F = temperature ( o F)

### Example - Weight of Air

The density of air at pressure 29.92 inches Hg at 100 degrees F can be calculated as

ρ = 1.325 ( 29.92 inches Hg ) / ((100 o F) + 459.7)

= 0.0708 lb/ft 3

The weight of 10 ft 3 air can be calculated as

W = (10 ft 3 ) (0.071 lb/ft 3 )

= 0.708 lb

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