C230 – Solartron RD Appendix A Calculation

Description

This function calculates the anticipated density and the relative density of the calibration and sample gases.

References

Solartron 3096 Specific Gravity Transducer Technical Manual – 30960015 July 1989

Solartron 3098 Specific Gravity Transducer Technical Manual – 30985000

R recommended by the Committee on Data for Science and Technology (CODATA) for international use

Kelton calculation reference C230

FLOCALC calculation reference F017

KIMS calculation reference K207

Options

Gas Constant R

  • Solartron
  • AGA 8
  • CODATA
  • User Entered

Select option based on value you wish to use for the molar gas constant.

Velocity of Sound Correction

  • Simplified
  • Entended

Select option based on which velocity of sound correction you wish to employ.

Transducer Model

  • 3096
  • 3098

Select option based on the transducer model being used, if applicable.

Constants

Molecular weight of Methane – Mx = 16.043g/mol

Molecular eight of Nitrogen – My = 28.014 g/mol

Value of gas constant provided by Solartron – 8.31434 Jmol-1K-1

Value of gas constant provided by AGA 8 – 8.31451 Jmol-1K-1

Value of gas constant provided by CODATA – 8.3144621 Jmol-1K-1

Calculation

All calculations are performed in SI units unless otherwise stated.

Anticipated density

The anticipated density for each gas is found by

Where
ρ = Density of gas
Δ = Anticipated error

Velocity of sound correction factor

Simplified Version

For Solartron 3096 Specific Gravity Transducer

Where
M = Molecular weight
γ = Ratio of specific heats

For Solartron 3098 Specific Gravity Transducer

Where
M = Molecular weight
γ = Ratio of specific heats

Extended Version

Where
K3 = Velocity of sound coefficient
τ = Sensor periodic time in μs
γ = Ratio of specific heats
P = Pressure
ρ = Density of gas

Total factor

Where
ZF = Compressibity factor
VF = Velocity of sound correction factor

Total factor for sample gas using calibration gases as reference

Where
EFx = Total factor of methane
EFy = Total factor of nitrogen
ρs = Base density of sample gas
ρsx = Base density of methane
ρsy = Base density of nitrogen

Total factor for nitrogen using methane and sample gas as reference

Where
EFx = Total factor of methane
EF = Total factor of sample gas
ρs = Base density of sample gas
ρsx = Base density of methane
ρsy = Base density of nitrogen

 

 

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