Campbell Scientific IRGASON IRGASON Integrated CO2/H2O Open-Path Gas Analyzer - Page 60

Vapor Pressure from Molar Mixing Ratio and Water Vapor Density

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Appendix B. Equations ρ d R(T PM d + 273.15) 1 − Xv 1000 + Xv  (B-5) Dew Point from Molar Mixing Ratio Td = 240.97 Td _tmp 17.502 − Td _tmp Td _ tmp = ln XvP 0.61121⋅ f (1000 + Xv ( ) ( ) f = 1.00072 + 3.2×10−5 P + 5.9×10−9 PT 2 (B-62) (B-72) (B-82) Water Vapor Molar Mixing Ratio from Dew Point Xv = e 1000 P−e e = 0.61121⋅ f ⋅ EXP 17.502Td 240.97 + Td  (B-9) (B-102) Water Vapor Mass Density from Dew Point ρ v = (0.018)(0.61121) f R(T + 273.15) EXP 17.502Td 240.97 + Td  (B-112) Vapor Pressure from Molar Mixing Ratio and Water Vapor Density e = XvP 1000 + X v e = ρvR(T + 273.15) Mv (B-12) (B-13) 1 Leuning, R (2004) Measurements of Trace Gas Fluxes in the Atmosphere Using Eddy Covariance: WPL Revisited. The Handbook of Micrometeorology, 29, 119-132. New York: Kluwer Academic Publishers. Eq. 6.23 2Buck, A L (1981) New Equations for Computing Vapor Pressure and Enhancement Factor. Journal of Applied Meteorology 20, 1527-1532. Eqs. 2a, 3a, and 6 B-2

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Appendix B.
Equations
(
)
+
−
+
=
v
v
d
d
X
X
T
R
PM
1000
1
15
.
273
ρ
(B-5)
Dew Point from Molar Mixing Ratio
tmp
d
tmp
d
d
T
T
T
_
_
502
.
17
97
.
240
−
=
(B-6
2
)
(
)
+
⋅
=
v
v
tmp
d
X
f
P
X
ln
T
1000
61121
.
0
_
(B-7
2
)
(
)
(
)
2
9
5
10
9
.
5
10
2
.
3
00072
.
1
PT
P
f
−
−
×
+
×
+
=
(B-8
2
)
Water Vapor Molar Mixing Ratio from Dew Point
1000
e
P
e
X
v
−
=
(B-9)
+
⋅
⋅
=
d
d
T
T
EXP
f
e
97
.
240
502
.
17
61121
.
0
(B-10
2
)
Water Vapor Mass Density from Dew Point
(
)(
)
(
)
+
+
=
d
d
v
T
T
EXP
T
R
f
97
.
240
502
.
17
15
.
273
61121
.
0
018
.
0
ρ
(B-11
2
)
Vapor Pressure from Molar Mixing Ratio and Water Vapor Density
v
v
X
P
X
e
+
=
1000
(B-12)
(
)
v
v
M
T
R
e
15
.
273
+
=
ρ
(B-13)
1
Leuning, R (2004) Measurements of Trace Gas Fluxes in the Atmosphere
Using Eddy Covariance: WPL Revisited.
The Handbook of Micrometeorology
,
29, 119-132. New York: Kluwer Academic Publishers. Eq. 6.23
2
Buck, A L (1981) New Equations for Computing Vapor Pressure and
Enhancement Factor.
Journal of Applied Meteorology
20, 1527-1532. Eqs.
2a, 3a, and 6
B-2