APPLICATION OF CIPM 2007 FORMULA AND ITS INFLUENCE IN DETERMINING UNCERTAINTY DUE TO VARIATION OF AIR DENSITY

Diina Qiyaman Mushoddiqoh, Nur Tjahyo Eka, Toto Sugiharto

Abstract


Air density measurement is an important parameter in standard mass calibration. The value is calculated from four measured components : temperature, relative humidity, mole fraction of carbon dioxide, and air pressure of environment where the calibration takes place. Empirical formula to calculate air density is recommended by Comité International des Poids et mesures (CIPM) in 1981/91, then updated in 2007. In this paper, there will be explanation about the differences between CIPM 1981/91 formula and CIPM 2007, their applications to air density calculation and the effects to uncertainty budget, and uncertainty contribution from air density variation to the standard mass calibration. The data is taken from the environment condition in Mass Laboratory of RCM LIPI. From the calculation, the average air density obtained from CIPM 1981/91 formula is 0.0001 kg/m3 smaller than that obtained from CIPM 2007. Air density variation in the mass laboratory is calculated as 0.00572 kg/m3 for CIPM 1981/91 formula and 0.00566 kg/m3 for CIPM 2007. Very small difference makes it insignificant to the uncertainty budget. Uncertainty contribution to standard mass calibration for both formulas are relatively the same, about 0.031 kg/m3, with the sensitivity coefficient 3.0 x 10-06 m3, making it the third largest contributor to the uncertainty budget of mass calibration.


Keywords


air density, standard mass, CIPM 2007, CIPM 1981/91

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References


Jones, Frank E. Scoonover, Randall M. 2002. Handbook of Mass Measurement. CRC Press LCC. Florida

Giacomo, P. 1982. Equation for the determination of the density of moist air.Metrologia. Volume 18 Page 33–40

Davis, R S. 1992. Equation for the determination of the density of moist air (1981/91). Metrologia. Volume 29 Page 67–70

Picard A, RS Davis, M Glaser, K Fujii. 2008. Revised Formula for the density of moist air (CIPM 2007). Metrologia. Volume 45 Page 149–155

Cohen, E. R., Taylor B. N. 1986. The 1986 Adjustment of the Fundamental Physical Constants. CODATA Bulletin. Volume 63. Oxford/New York, Pergamon.

Mohr P J and Taylor B N. 2005. CODATA recommended values of the fundamental physical constants 2002 Rev. Mod. Phys. Volume 77 Page 1–107.

K.F. Chackett, F.A. Paneth, E.J. Wilson. 1949. Chemical composition of the stratosphere at 70 km height. Nature. Volume 164 Page 128 - 129

Park S Y et al. 2004. A redetermination of the argon content of air for buoyancy corrections in mass standard comparisons.

Metrologia. Volume 41 Page 387–95.

Sutour C, et al. 2007. Determination of the argon concentration in ambient dry air for the calculation of air density Metrologia. Volume 44 Page 48–52.

Organisation Internationale de Metrologie Legale. 2004. OIML R111-1 Weights of Classes E1, E2, F1, F2, M1, M1-2, M2, M2-3 and M3. OIML. Paris.




DOI: http://dx.doi.org/10.14203/instrumentasi.v41i2.89

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