Fh ik, Tc t – Vaisala HMP240 User Manual

Page 118

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HMP240
Appendix 6: HMP243 wiring diagram

M210300en

116

APPENDIX 5: CALCULATION FORMULAS

The HMP240 transmitter measures relative humidity and temperature. From
these values dewpoint, mixing ratio and absolute humidity are calculated using
the following equations:

dewpoint:

T

T

m

P

RH

A

d

n

ws

=

FH

IK

log

100

1

(1)

mixing ratio:

x

RH

P

p

RH P

ws

ws

=

⋅ −

621 98

100

.

b

g

(2)

absolute humidity:

a

RH

P

t

ws

=

⋅ +

216 68

100

273 2

.

.

a

f

(3)

where

T

d

=

dewpoint temperature (°C)

P

ws

=

partial pressure of saturated water vapour (mbar)

RH

=

relative humidity (%)

x

=

mixing ratio (g/kg)

p

=

atmospheric pressure (mbar)

a

=

absolute humidity (g/m

3

)

t

=

temperature (

°

C)

The partial pressure of water P

ws

is calculated using equation:

=

=

Θ

3

o

i

i

i

T

C

T

(4)

where:

T

= temperature in K

Ci

= coefficients

C0

= 0.4931358

C1

= -0.46094296 * 10-2

C2

= 0.13746454 * 10-4

C3

= -0.12743214 * 10-7

The vapour pressure (in Pascals) is calculated using equation:

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