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      Low-Temperature Specific Heat Capacity of Water–Ammonia Mixtures Down to the Eutectic

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          Abstract

          Robust thermodynamic data are essential for the development of geodynamic and geochemical models of ocean worlds. The water–ammonia system is of interest in the study of ocean worlds due to its purported abundance in the outer solar system, geological implications, and potential importance for origins of life. In support of developing new equations of state, we conducted 1 bar specific heat capacity measurements ( C p) using a differential scanning calorimeter (DSC) at low temperatures (184–314 K) and low mass fractions of ammonia (5.2–26.9 wt %) to provide novel data in the parameter space most relevant for planetary studies. This is the first known set of data with sufficient fidelity to investigate the trend of specific heat capacity with respect to temperature. The obtained C p in the liquid phase domain above the liquidus generally increases with temperature. Deviations of our data from the currently adopted equation of state by Tillner-Roth and Friend[ ; J. Phys. Chem. Ref. Data1998, 27, 63–96]. are generally negative (ranging from +1 to −10%) and larger at lower temperatures. This result suggests that suppression of the critical behavior of supercooled water (rapid increase in specific heat with decreasing temperature) by ammonia starts at a smaller concentration than that set by Tillner-Roth and Friend.[ ; J. Phys. Chem. Ref. Data1998, 27, 63–96]. C p measurements of the liquid were also obtained in the partial melting domain between the eutectic and liquidus. This novel data set will be useful in future investigations of conditions where such partial melt may exist, such as the ice shell–ocean boundary or the interiors of ocean worlds that may contain relatively large proportions of dissolved ammonia.

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          Most cited references47

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          The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use

          W. Wagner (1999)
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            Water: A Tale of Two Liquids

            Water is the most abundant liquid on earth and also the substance with the largest number of anomalies in its properties. It is a prerequisite for life and as such a most important subject of current research in chemical physics and physical chemistry. In spite of its simplicity as a liquid, it has an enormously rich phase diagram where different types of ices, amorphous phases, and anomalies disclose a path that points to unique thermodynamics of its supercooled liquid state that still hides many unraveled secrets. In this review we describe the behavior of water in the regime from ambient conditions to the deeply supercooled region. The review describes simulations and experiments on this anomalous liquid. Several scenarios have been proposed to explain the anomalous properties that become strongly enhanced in the supercooled region. Among those, the second critical-point scenario has been investigated extensively, and at present most experimental evidence point to this scenario. Starting from very low temperatures, a coexistence line between a high-density amorphous phase and a low-density amorphous phase would continue in a coexistence line between a high-density and a low-density liquid phase terminating in a liquid–liquid critical point, LLCP. On approaching this LLCP from the one-phase region, a crossover in thermodynamics and dynamics can be found. This is discussed based on a picture of a temperature-dependent balance between a high-density liquid and a low-density liquid favored by, respectively, entropy and enthalpy, leading to a consistent picture of the thermodynamics of bulk water. Ice nucleation is also discussed, since this is what severely impedes experimental investigation of the vicinity of the proposed LLCP. Experimental investigation of stretched water, i.e., water at negative pressure, gives access to a different regime of the complex water diagram. Different ways to inhibit crystallization through confinement and aqueous solutions are discussed through results from experiments and simulations using the most sophisticated and advanced techniques. These findings represent tiles of a global picture that still needs to be completed. Some of the possible experimental lines of research that are essential to complete this picture are explored.
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              Cassini finds molecular hydrogen in the Enceladus plume: Evidence for hydrothermal processes

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                Author and article information

                Journal
                ACS Earth Space Chem
                ACS Earth Space Chem
                sp
                aesccq
                ACS Earth & Space Chemistry
                American Chemical Society
                2472-3452
                21 September 2023
                19 October 2023
                : 7
                : 10
                : 1971-1979
                Affiliations
                []Jet Propulsion Laboratory, California Institute of Technology , 4800 Oak Grove Drive, Pasadena, California 91109, United States
                []Department of Earth and Space Sciences, University of Washington , 4000 15th Ave NE, Seattle, Washington 98195, United States
                [§ ]Asian School of the Environment, Nanyang Technological University , 50 Nanyang Avenue, Singapore 639798, Singapore
                Author notes
                Author information
                https://orcid.org/0009-0002-1144-2368
                https://orcid.org/0009-0001-8340-3192
                https://orcid.org/0000-0001-7447-9139
                https://orcid.org/0000-0001-6839-9765
                Article
                10.1021/acsearthspacechem.3c00091
                10591500
                37876662
                18f66621-4900-4874-96fa-26aedb8ee90f
                © 2023 The Authors. Published by American Chemical Society

                Permits non-commercial access and re-use, provided that author attribution and integrity are maintained; but does not permit creation of adaptations or other derivative works ( https://creativecommons.org/licenses/by-nc-nd/4.0/).

                History
                : 10 April 2023
                : 05 September 2023
                : 15 August 2023
                Funding
                Funded by: National Aeronautics and Space Administration, doi 10.13039/100006196;
                Award ID: 80NM0018D0004
                Funded by: National Aeronautics and Space Administration, doi 10.13039/100006196;
                Award ID: NNH19ZDA001N-ECA
                Categories
                Article
                Custom metadata
                sp3c00091
                sp3c00091

                calorimetry,ammonia–water,heat capacity,equation of state,ocean world interiors

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