Geoscience Reference
In-Depth Information
Table B.1 Composition of atmospheric air up to 105 km altitude
Gas
Molecular mass
(kg kmol -1 )
Volume fraction
(relative to dry air)
Nitrogen (N 2 )
28.013
78.08 %
Oxygen (O 2 )
32.000
20.95 %
Argon (Ar)
39.95
0.93 %
Water vapour (H 2 O)
18.02
0-5 %
Carbon dioxide (CO 2 )
44.01
389 ppmv
Neon (Ne)
20.18
18 ppmv
Helium (He)
4.00
5 ppmv
Methane (CH 4 )
16.04
1.87 ppmv
Krypton (Kr)
83.80
1 ppmv
Hydrogen (H 2 )
2.02
0.5 ppmv
Nitrous oxide (N 2 O)
56.03
0.32 ppmv
Ozone (O 3 )
48.00
0-0.1 ppmv
From Wallace and Hobbs ( 2006 ). CO 2 data: global mean value for 2010. Source:
Dr. Pieter Tans, NOAA/ESRL: www.esrl.noaa.gov/gmd/ccgg/trends . CH 4 and N 2 O
data: Mace Head (Ireland) October 2009-September 2010. Source: AGAGE net-
work, Prinn et al. ( 2000 ).
With M d
. , the speciic gas constant for dry air becomes R d = 287
J kg -1 K -1 . Hence, using ( B.1 ), the density of dry air can be deined as:
1
=
28 976
kg mol
M
R
p
T
p
RT
ρ d
=
d
*
=
(B.4)
d
The speciic gas constant for water vapour is R v = 462 J kg -1 K -1 . Based on Eq. ( B.3 )
the dependence of the molar mass of air that includes water vapour can be derived
to be:
1
q
1
28
q
=
M
+
(B.5)
18
.97
6
where q is the speciic humidity (deined in Section B.4 ). Hence the speciic gas con-
stant for moist air is:
*
R
M
q
1
28 976
q
=
(
)
*
R
=
=
R
+
R d
1061
+
.
q
(B.6)
18
.
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