Progress Towards an Acoustic Measurement of the Molar Gas Constant at INRIM

Gavioso, R. M.; Benedetto, G.; Albo, P. A. Giuliano; Merlone, A.; Balsamo, Alessandro; D’Errico, Giampaolo E.; Spagnolo, R.

doi:10.1007/s10765-007-0266-z

Cited by 7 publications

(11 citation statements)

References 10 publications

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“…All the coefficients have been determined from these special cases. The expressions for the linear terms reproduce the values in (3). The means of the electromagnetic triplets equal, for TM1n modes,…”

Section: Triaxial Ellipsoidsmentioning

confidence: 56%

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Second-order electromagnetic eigenfrequencies of a triaxial ellipsoid

Mehl

2009

Metrologia

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The dependence of the eigenvalues of the TM1n and TE1n electromagnetic triplet modes on the shape of a triaxial ellipsoid cavity resonator is investigated. For an ellipsoid with semi-axes proportional to 1 : (1 + ϵ1) : (1 + ϵ2) the fractional perturbations of the triplet components are found to second order in ϵ1 and ϵ2. The formulae are derived from the results of Kokkorakis and Roumeliotis (1997 J. Electromagn. Waves Appl. 11 279–92) for prolate and oblate spheroids. Finite-element calculations were carried out to confirm the accuracy of the formulae and to determine the next correction terms.

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Section: Triaxial Ellipsoidsmentioning

confidence: 56%

“…Quasispherical resonators (QSRs) are powerful experimental tools for applications in acoustic thermometry [1,2] and determination of the Boltzmann constant [3,4]. Analysis of acoustic resonances of gas-filled QSRs requires an independent determination of the QSR volume.…”

Section: Introductionmentioning

confidence: 99%

Second-order electromagnetic eigenfrequencies of a triaxial ellipsoid

Mehl

2009

Metrologia

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“…Pitre et al [28] varied the speed of sound by changing the temperature over a very wide range. Gavioso et al [29] filled the cavity with helium and then continuously diluted it with argon while maintaining the pressure constant. Both groups were surprised to observe interactions between the radially-symmetric acoustic modes and several modes of the shell at frequencies well away from f breathing .…”

Section: Coupling Between Gas Modes and Shell Vibrationsmentioning

confidence: 99%

Optimizing acoustic measurements of the Boltzmann constant

Moldover

2009

Comptes Rendus. Physique

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We review the progress in acoustic metrology of gases that has occurred since the 1988 measurement of the universal gas constant R using a spherical acoustic resonator. The advances in understanding resonators and in calculating the thermophysical properties of helium ab initio suggest that today one could determine Boltzmann's constant k B from acoustic measurements using either helium or argon with a relative uncertainty less than 10 −6 . RésuméProgrès dans la détermination de la constante de Boltzmann par voie acoustique L'article récapitule les avancées effectuées en métrologie acoustique dans les gaz depuis la mesure de la constante universelle des gaz R effectuée en 1988 en utilisant un résonateur acoustique sphérique. Des progrès substantiels ont été réalisés, tant pour mieux comprendre le fonctionnement des résonateurs acoustiques que pour calculer ab initio, avec une fiabilité accrue, les caractéristiques thermo-physiques de l'hélium. Ils permettent d'envisager désormais une détermination de la constante de Boltzmann k B par voie acoustique avec une incertitude relative meilleure que 10 -6 , en utilisant soit l'argon, soit l'hélium.________________________________ 1. Introduction.

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“…Acoustic resonators have been the preferred method for measuring the speed of sound and various thermodynamic properties, − the Boltzmann constant, k B , − and thermodynamic temperatures. − Spherical resonators have been widely used because of their high quality factors and high measurement precision. Cylindrical resonators have lower quality factors, but they are easier to manufacture and assemble.…”

Section: Introductionmentioning

confidence: 99%

Speed of Sound Measurements Using a Cylindrical Resonator for Gaseous Carbon Dioxide and Propene

Liu

Feng

et al. 2014

J. Chem. Eng. Data

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Carbon dioxide (R744) and propene (R1270) are expected to be long-term working fluids for air conditioning systems, heat pumps, and organic Rankine cycles (ORCs) because of their low global warming potentials (GWP). The speed of sound was measured in gaseous carbon dioxide from (260 to 333) K and in gaseous propene from (260 to 330) K using a cylindrical resonator at pressures up to 1 MPa. The perturbations from the thermal and viscous boundary layers, the gas fill duct, the shell motion, and the vibrational relaxation were corrected in the frequency measurements. The uncertainties in the temperature, pressure, and speed of sound measurements were estimated to be less than 5 mK, 200 Pa, and 0.02 %. The ideal-gas heat capacities at constant pressure and the acoustic virial coefficients of carbon dioxide and propene were deduced from the measured speed-of-sound data. The second virial coefficients for carbon dioxide and propene were obtained from the acoustic data and the square-well intermolecular model.

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Progress Towards an Acoustic Measurement of the Molar Gas Constant at INRIM

Cited by 7 publications

References 10 publications

Second-order electromagnetic eigenfrequencies of a triaxial ellipsoid

Second-order electromagnetic eigenfrequencies of a triaxial ellipsoid

Optimizing acoustic measurements of the Boltzmann constant

Speed of Sound Measurements Using a Cylindrical Resonator for Gaseous Carbon Dioxide and Propene

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