Appendix F Calculations and theory

Page F.3

Table F.1: 'K' Coefficient Look-up Values

Calibration
Gas Density range KAKBKCKD
Nitrogen 0-100 Kg/m3 349.007 -0.530984 E-01 0.595473 E-02 -0.314834 E-04
Nitrogen 0-400 Kg/m3 348.994 -0.044632 0.297076 E-02 -0.418178 E-05
Methane 0-250 Kg/m3 442.987 -0.579479 0.623017 E-02 0.0
Argon 0-400 Kg/m3 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/m3)
Coefficients to enter
(for density greater than
100 Kg/m3)
Approx.
VOS1
γ0K5 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/m3
Carbon dioxide 0-200 Kg/m3
Helium 0-75 Kg/m3
Oxygen 0-100 Kg/m3
Propylene 0-20 Kg/m3
Ethylene 0-350 Kg/m3 i.e. where density could exceed 200 Kg/m3 use
K5 = -0.66 * 10-3 and K6 = 6.50 * 10-6
1at Normal conditions.