
Appendix B. Useful Equations
( )
+
−
+
=
v
vd
d
X
X
TR
PM
1000
1
15.273
ρ
(B-5)
Dew Point from Molar Mixing Ratio
tmpd
tmpd
d
T
T
T
_
_
502.17
97.240
−
=
(B-6)
( )
+⋅
=
v
v
tmpd
Xf
PX
lnT
100061121.0
_
(B-7)
( ) ( )
295
109.5102.300072.1 PTPf
−−
×+×+=
(B-8)
Water Vapor Molar Mixing Ratio from Dew Point
(B-9)
+
⋅⋅=
d
d
T
T
EXPfe
97.240
502.17
61121.0
(B-10)
Water Vapor Mass Density from Dew Point
( )(
)
( )
++
=
d
d
v
T
T
EXP
TR
f
97.
240
502.17
15.273
61121.0
018.0
ρ
(B-11)
Vapor Pressure from Molar Mixing Ratio and Water Vapor Density
(B-12)
(B-13)
Equations (1) and (2) were derived from Leuning, 2004; Eq. 6.23.
Equations (6) - (8) and (10) - (11) were derived from Buck, 1981; Eq. 2a, 3a,
and 6.
B-2
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