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Appendix F Calculations and theory
Page F.3
Table F.1: 'K' Coefficient Look-up Values
Calibration
Gas
Density range K
A
K
B
K
C
K
D
Nitrogen 0-100 Kg/m
3
349.007 -0.530984 E-01 0.595473 E-02 -0.314834 E-04
Nitrogen 0-400 Kg/m
3
348.994 -0.044632 0.297076 E-02 -0.418178 E-05
Methane 0-250 Kg/m
3
442.987 -0.579479 0.623017 E-02 0.0
Argon 0-400 Kg/m
3
318.079 0.913056 E-01 0.155044 E-03 -0.2564 E-06
Notes:
• The density range of the transducer is selected when configuring line density.
• There is no support for other calibration gases.
• Temperature is assumed to be 20°C.
Table F.2: Gas data and 795x coefficients for Cg (VOS calculation)
Gases
Molecular
Weight
Gamma
Coefficients to enter
(for density less than or
equal to 100 Kg/m
3
)
Coefficients to enter
(for density greater than
100 Kg/m
3
)
Approx.
VOS
1
γ
0
K5 K6 K5 K6 m/s
Air 28.96469
Argon 39.9480 1.677 7.21 * 10
-3
-54.7 * 10
-6
1.46*10-6 -3*10
-6
323.0
Carbon Monoxide 28.01055 1.395 6.14*10
-3
-31.0*10
-6
- - 347.4
Carbon diixide 44.00995 1.290 -2.05*10
-3
18.7*10
-6
-0.38*10
-3
2.22*10
-6
264.2
Ethane 30.07012 1.194 -42.66*10
-3
830*10
-6
-0.66*10
-3
8.95*10
-6
323.0
Ethylene 28.054 1.243 -4.78*10
-3
52.9*10
-6
5.49*10
-3
6.50*10
-6
320.0
Helium 4.00260 1.664 77.3*10
-3
-782.4*10
-6
- - 1006.0
Heptane 100.20557 1.054 0 0 0 0 155.0
Hexane 86.17848 1.063 0 0 0 0 170.0
Hydrogen 2.01594 1.407 0 0 0 0 1297.7
Hydrogen sulphide 34.07994 1.320 0 0 0 0 305.0
Methane 16.04303 1.307 4.75*10
-3
0.824*10
-6
4.75*10
-3
0.824*10
-6
442.0
Nitrogen 28.01340 1.400 5.25*10
-3
-28.6*10
-6
2.66*10
-3
-4.49*10
-6
349.0
Octane 114.23266 1.048 0 0 0 0 144.0
Oxygen 31.9988 1.397 2.50*10
-3
-11.08*10
-6
- - 329.0
Propane 44.09721 1.132 -109*10
-3
4055*10
-6
5.88*10
-3
-6.16*10
-6
250.0
Propylene 42.081 1.154 -200*10
-3
8410*10
-6
- - 256.0
ISO-Butane 58.12430 1.097 -2042*10
-3
0.4685 10.67*10
-3
-13.7*10
-6
214.0
Neo-Butane 58.12430 1.095 -2042*10
-3
0.4685 10.67*10
-3
-13.7*10
-6
211.0
ISO-Pentane 72.15139 1.077 0 0 0 0 188.0
Neo-Pentane 72.15139 1.076 0 0 0 0 187.0
Note:
Gas
Density range
Carbon Monoxide 0-100 Kg/m
3
Carbon dioxide 0-200 Kg/m
3
Helium 0-75 Kg/m
3
Oxygen 0-100 Kg/m
3
Propylene 0-20 Kg/m
3
Ethylene 0-350 Kg/m
3
i.e. where density could exceed 200 Kg/m
3
use
K5 = -0.66 * 10
-3
and K6 = 6.50 * 10
-6
1
at Normal conditions.