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Appendix i. useful equations, 10 p – Campbell Scientific AP200 CO2/H2O Atmospheric Profile System User Manual

Page 111

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Appendix I. Useful Equations

Dewpoint Temperature Calculations

The IRGA reports the dewpoint temperature (public variable

Td_cell), but this

represents the conditions in the sample cell. The AP200 converts this to

dewpoint temperature in the ambient air,

Td_ambient. This conversion is a

three-step process: 1) calculate vapor pressure in the sample cell, 2)

compensate for the pressure difference between the ambient and the sample

cell, and 3) calculate ambient dewpoint temperature from ambient vapor

pressure. The equations are adapted from:

Buck, A.L. 1981, “New equations for computing vapor pressure and

enhancement factor”, Journal of Applied Meteorology,

20, 1527-1532.

Calculate vapor pressure from dewpoint temperature:





+

=

cell

cell

T

T

cell

e

f

e

97

.

240

502

.

17

3

1121

.

6

)

1

.

0

(

Buck, eq. 8

(

)

amb

P

f

10

10

46

.3

0007

.1

6

3

×

+

=

Buck, eq. 7c

where:

e

cell

is the vapor pressure in the sample cell

the factor 0.1 converts the vapor pressure from mb to kPa.

f

3

is the enhancement factor

T

cell

is the dewpoint temperature in the sample cell

10P

amb

is the ambient pressure, converted from kPa to mb

Compensate for the reduced pressure in the sample cell:





=

cell

amb

cell

amb

P

P

e

e

where:

e

amb

is the ambient vapor pressure

P

cell

is the pressure in the sample cell

I-1