Title: Combined Dielectric-Constant Gas Thermometry and Expansion Experiments - Virial Coefficients of Argon
Authors: Günz, Christian, Physikalisch-Technische Bundesanstalt (PTB), Fachbereich 7.4, Temperatur, ORCID: 0000-0002-4511-2407
Contributors: HostingInstitution: Physikalisch-Technische Bundesanstalt (PTB), ISNI: 0000 0001 2186 1887
Resource Type: Text / Dissertation
Publisher: Physikalisch-Technische Bundesanstalt (PTB)
Rights: Download for personal/private use only, if your national copyright law allows this kind of use.
Relationships: IsPartOf: ISSN 1614-9327
IsIdenticalTo: ISBN 978-3-95606-599-6
Dates: Available: 2022-01-06
Created: 2022-01
File: Download File (application/pdf) 31.86 MB (33411502 Bytes)
MD5 Checksum: 5f83a5f82e88e529900c2258ca2b8e30
SHA256 Checksum: b71827638737676c799cc9e3c368cc2e21072c88282f990240931ffd77058eea
Keywords: DCGT ; real-gas properties ; virial coefficients ; gas metrology ; argon ; expansion experiments ; Burnett method
Abstract: In this thesis, the capabilities arising from a combination of Dielectric-Constant Gas Thermometry (DCGT) with two expansion methods are investigated regarding the determination of real gas properties. For DCGT, pressure and capacitance data is utilized simultaneously to determine the so called DCGT-virial coefficients. They are combinations of density (B(T), C(T),… ) and dielectric virial coefficients (bε(T), cε(T),…) whereas it is not possible to differ between both contributions. An independent determination of B(T), C(T),… and bε(T), cε(T),… was enabled by a combination with the Burnett expansion principle and its dielectric equivalent, respectively. An innovative apparatus was developed that allows to perform the complex measurements simultaneously and automated. Novel working equations directly including dead volumes at different temperatures as well as the deformation of the system under pressure were deduced. Based on these equations and Monte-Carlo simulations, uncertainty budgets for all three approaches were derived. The principle was validated by isothermal measurements with argon at temperatures of 254 K, 273 K, 296 K and 303 K for pressures between 1 MPa and 7 MPa. The set of derived virial coefficients was self-consistent and in good agreement with available literature values mostly on the level of the standard uncertainties. Additional measurements with helium were performed to constraint the apparatus constant which lowers the uncertainty for the expansion experiments by a factor of two. The reached relative standard uncertainties are 0.15 % to 0.3 % for the second and 1.5 % to 3 % for the third DCGT-virial coefficient. For B(T), 0.5 % to 0.9 % were achieved while for the two orders of magnitude smaller value of bε(T) the relative standard uncertainties are in the order of 15 %.
Series Information: PTB-Bericht Th-12
Citation: Günz, Christian. Combined Dielectric-Constant Gas Thermometry and Expansion Experiments - Virial Coefficients of Argon, 2021. Physikalisch-Technische Bundesanstalt (PTB). DOI: https://doi.org/10.7795/110.20220106