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 |