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Thermodynamic modeling for clathrate hydrates of ozone
Affiliation:1. Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan;2. Ecole Nationale Supérieure des Mines de St-Etienne, 158 cours Fauriel, 42023 St-Etienne, France;1. Space Research Institute RAS, Profsoyuznaya 84/32, Moscow 117997, Russia;2. Moscow Institute of Physics and Technology (MIPT), Institutsky per. 9, 141700 Dolgoprudny, Moscow Region, Russia;3. ESA/ESTEC, PB 299, 2200AG Noordwijk, The Netherlands;4. Max Planck Institute for Solar System Research, Justus-von-Liebig-Weg 3, 37077 Göttingen, Germany;1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University (SINP MSU), 1(2), Leninskie gory, Moscow 119991, Russia;2. Space Research Institute of the Russian Academy of Science (IKI), 84/32 Profsoyuznaya Str., Moscow 117997, Russia;3. National Research Centre “Kurchatov Institute”, 1, Akademika Kurchatova pl., Moscow 123182, Russia;4. Faculty of Mathematics and Physics, Charles University, V Holesovickach 2, Prague 8 18000, Czech Republic
Abstract:We report a theoretical study to predict the phase-equilibrium properties of ozone-containing clathrate hydrates based on the statistical thermodynamics model developed by van der Waals and Platteeuw. The Patel–Teja–Valderrama equation of state is employed for an accurate estimation of the properties of gas phase ozone. We determined the three parameters of the Kihara intermolecular potential for ozone as a = 6.815 · 10−2 nm, σ = 2.9909 · 10−1 nm, and ε · kB−1 = 184.00 K. An infinite set of εσ parameters for ozone were determined, reproducing the experimental phase equilibrium pressure–temperature data of the (O3 + O2 + CO2) clathrate hydrate. A unique parameter pair was chosen based on the experimental ozone storage capacity data for the (O3 + O2 + CCl4) hydrate that we reported previously. The prediction with the developed model showed good agreement with the experimental phase equilibrium data within ±2% of the average deviation of the pressure. The Kihara parameters of ozone showed slightly better suitability for the structure-I hydrate than CO2, which was used as a help guest. Our model suggests the possibility of increasing the ozone storage capacity of clathrate hydrates (∼7% on a mass basis) from the previously reported experimental capacity (∼1%).
Keywords:Clathrate hydrate  Phase equilibrium  Ozone  Oxygen  Carbon dioxide  Thermodynamic model
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