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Air - Altitude, Density and Specific Volume

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Air - Altitude, Density and Specific Volume

Density and the specific volume of air vary with elevation above sea level


The density of air varies with pressure (the Ideal Gas Law) and the altitude above sea level. Mean absolute pressure at sea level is approximately 760 mmHg (101.325 kPa, kN/m2) with a variation is about +/- 5%.

Altitude and Air Pressure

The air barometer pressure varies with altitude as shown in the table below:
Altitude
(m)
Pressure
(mmHg)(kPa)
0760101.3
75753100.4
15074699.5
25073998.5
30073397.7
45071995.9
60070694.1
75069392.4
90068190.8
100066889.1
120065687.5
135064485.9
150063284.3
180060981.2
210058678.1
240056475.2

Altitude and Air Density

Air density and specific volume as functions of altitude above sea level can be indicated as in the diagrams below:
air altitude meters density and specific volume diagram
air altitude feet density and specific volume diagram

 

STP - Standard Temperature and Pressure

NTP - Normal Temperature and Pressure

Note! - other definitions of STP and NTP are commonly used.

Altitude and Specific Volume Correction

The specific volume of standard air at a certain altitude can be calculated by multiplying with the volume correction factor below
AltitudeVolume
Correction
Factor 
(m)(ft)
001.00
48016001.05
99033001.11
150050001.17
198066001.24
246082001.31
297099001.39

Altitude and Air Pressure

AltitudePressure
feetmeterinHgtorrpsiakPa
0029.92759.9714.7101.3
50015229.39746.5114.4399.4
100030528.86733.0414.1797.6
150045728.34719.8413.9195.8
200061027.82706.6313.6694.1
250076227.32693.9313.4192.4
300091426.82681.2313.1790.7
3500106726.33668.7812.9389.1
4000121925.84656.3412.6987.4
4500137225.37644.412.4685.8
5000152424.9632.4612.2384.3
5500167624.44620.781282.7
6000182923.98609.0911.7781.1
6500198123.53597.6611.5579.6
7000213423.09586.4911.3478.1
7500228622.66575.5611.1376.7
8000243822.23564.6410.9175.2
8500259121.81553.9710.7173.8
9000274321.39543.3110.572.3
9500289620.98532.8910.371.0
10000304820.58522.7310.169.6
10500320020.19512.839.9168.3
11000335319.8502.929.7267.0
11500350519.41493.019.5365.7
12000365819.03483.369.3464.4
12500381018.66473.969.1663.1
13000396218.3464.828.9961.9
13500411517.94455.688.8160.7
14000426717.58446.538.6359.5
14500442017.24437.98.4658.3
15000457216.89429.018.2957.1
15500472416.56420.628.1356.0
16000487716.22411.997.9654.8
16500502915.9403.867.8153.8
17000518215.58395.737.6552.7
17500533415.26387.67.4751.5
18000548614.95379.737.3450.6
18500563914.65372.117.1949.5
19000579114.35364.497.0548.6
19500594414.05356.876.947.5
20000609613.76349.56.7646.6
20500624813.48342.396.6245.6
21000640113.2335.286.4844.6
21500655312.92328.176.3443.7
22000670612.65321.316.2142.8
22500685812.38314.456.0841.9
23000701012.12307.855.9541.0
23500716311.86301.245.8240.1
24000731511.61294.895.739.3
24500746811.36288.545.5838.4
25000762011.12282.455.4637.6
25500777210.88276.355.3436.8
26000792510.64270.265.2236.0
26500807710.41264.415.1135.2
27000823010.18258.57534.5
2750083829.96252.984.8933.7
2800085349.74247.44.7832.9
2850086879.53242.064.6832.2
2900088399.31236.474.5731.5
2950089929.11231.394.4730.8
3000091448.9226.064.3730.1

Temperature vs. Elevation Density Correction

Temperature vs. Elevation Density Correction Factor
The chart above can be used to estimate "temperature vs. elevation density correction factor". The density at a given temperature and elevation can then be calculated as
ρ = ρref / f                               (1)
where
ρ = density at the given temperature and elevation (lbm/ft3)
ρref = density reference at elevation 0 ft and temperature 70 oF  - (0.075 lbm/ft3)
f = correction factor from the chart above

Example - Density at Elevation 4000 ft and Temperature 300 oF

From the chart above - at elevation 4000 ft and temperature 300 oF the correction factor is approximate 1.7. The density can be calculated as
ρ = (0.075 lbm/ft3) / 1.7
   = 0.043lbm/ft3 

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