Fh i k, Fhg i kj – Vaisala HMP260 User Manual

Page 114

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HMP260 SERIES

HMP260-U017en-1.5

Appendix 6: Calculation formulas

1

CALCULATION

The HMP260 series transmitters measure 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

=

F

H

I

K

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

P

A

ws

m t

t T

n

=

+

F

HG

I

KJ

10

.

(4)

The parameters A, m, and T

n

depend on temperature according to the following table

t

A

m

T

n

-40 ... 50 °C

6.1078

7.5000

237.3

50 ... 100 °C

5.9987

7.3313

229.1

100 ... 150 °C

5.8493

7.2756

225.0

150 ... 180 °C

6.2301

7.3033

230.0

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