A determination of the molar gas constant R by acoustic thermometry in helium

Abstract

Abstract We have determined the acoustic and microwave frequencies of a misaligned spherical resonator maintained near the temperature of the triple point of water and filled with helium with carefully characterized molar mass g mol −1 , with a relative standard uncertainty . From these data and traceable thermometry we estimate the speed of sound in our sample of helium at K and zero pressure to be m 2 s −2 and correspondingly deduce the value J mol −1 K −1 for the molar gas constant. We estimate the value J K −1 for the Boltzmann constant using the currently accepted value of the Avogadro constant N A . These estimates of R and k , with a relative standard uncertainty of 1.06 × 10 −6 , are 1.47 parts in 10 6 above the values recommended by CODATA in 2010.

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