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[AMERICAN JOURNAL OF SCIENCE,VOL. 299, MARCH, 1999, P. 173–209] American Journal of Science MARCH 1999 ASSESSMENT OF FELDSPAR SOLUBILITY CONSTANTS IN WATER IN THE RANGE 0° TO 350°C AT VAPOR SATURATION PRESSURES STEFA´ N ARNO´ RSSON and ANDRI STEFA´ NSSON Science Institute, University of Iceland, Dunhagi 3, 107 Reykjavı´k, Iceland ABSTRACT. The equilibrium constants for endmember feldspar hydrolysis for the following reactions ؉ ؉ ؊ ؉ 0 ؍ ؉ NaAlSi3O8 8H2O Na Al(OH)4 3H4SiO4 ؉ ؉ ؊ ؉ 0 ؍ ؉ KAlSi3O8 8H2O K Al(OH)4 3H4SiO4 ؉2 ؉ ؊ ؉ 0 ؍ ؉ CaAl2Si2O8 8H2O Ca 2Al(OH)4 2H4SiO4 are accurately described by ؊ ؉ 2؊ ؊ ؊6 2؉ log Klow-albite 96.267 305,542/T 3985.50/T 28.588 · 10 ·T 35.790 · log T ؊ ؉ 2؊ ؊ ؊6 2؉ log Khigh-albite 97.275 306,065/T 3313.51/T 28.622 · 10 ·T 35.851 · log T ؊ ؉ 2؊ ؊ ؊6 2؉ log Kmicrocline 78.594 311,970/T 6068.38/T 27.776 · 10 ·T 30.308 · log T ؊ ؉ 2؊ ؊ ؊6 2؉ log Ksanidine 77.837 316,431/T 5719.10/T 27.712 · 10 ·T 29.738 · log T ؊ ؉ 2؊ ؊ ؊6 2؉ log Kanorthite 88.591 326,546/T 2720.61/T 40.100 · 10 ·T 31.168 · log T where T is in K. They are valid in the range 0° to 350°C, at 1 bar below 100°C and at vapor saturation pressures (Psat) at higher temperatures. The equations for low-albite and microcline are valid for Amelia albite and for microcline with the -respectively. The same kind of log K ,(0.95 ؍ same degree of Al-Si order (Z temperature equations have also been retrieved for alkali-feldspar and plagio- clase solid solutions (tables 4 and 6). The calculated feldspar equilibrium constants of this study indicate much higher solubility under weathering conditions than generally accepted to date, the difference being more than one and a half orders of magnitude at 0°C for both high- and low-albite, but somewhat less for microcline, sanidine, and anorthite. This higher solubility is largely a consequence of new data for the thermody- 0 namic properties of H4SiO4. The present results have a particularly important bearing on the stability of feldspars under weathering conditions and the study of interaction between water and rock/soil in this environment. They are, however, also important for the study of equilibrium/dis-equilibrium conditions in active geothermal systems. INTRODUCTION Knowledge of the thermodynamic properties of feldspars and of the aqueous species that form when they dissolve in water is essential for quantitative interpretation of interactions between these minerals and natural waters. Studies of mineral saturation in aqueous solutions involve essentially two steps: (1) derivation of equilibrium constants (K) for mineral hydrolysis from thermodynamic data taking into account the effects of variable composition of the minerals and ordering, as appropriate, and (2) calculation of individual aqueous species activities from analytical data on the waters to retrieve values ⌬ for the respective activity products (Q). The Gibbs energy of any reaction, Gr, is defined 173 174 S. Arno´rsson and A. Stefa´nsson—Assessment of feldspar solubility as: ⌬ ϭ⌬ 0 ϩ Gr Gr RT ln Q (1) where Q is the activity product (reaction quotient) for the reaction; R, the gas constant; T, ⌬ 0 temperature in Kelvin; and Gr , the standard Gibbs energy of the reaction, which is equal to ϪRT ln K where K represents the equilibrium constant. For the following general reaction: aA ϩ bB _ cC ϩ dD (2) the activity product is defined as ac · ad ϭ C D Q a b (3) aA · aB ⌬ ϭ ϭ a denotes the activity of the subscribed species. At equilibrium Gr 0soK Qat equilibrium. In this contribution calorimetric and other thermodynamic data on the feldspars have been compiled and assessed with the purpose of deriving temperature equations describing their solubility constants (K) in the range 0° to 350°C at 1 bar below 100°C and at vapor saturation pressures (Psat) at higher temperatures. Solubility constants are presented for both fully ordered and fully disordered alkali-feldspars with respect to Al and Si (low-albite high-albite, microcline, sanidine) and anorthite as well as solid solutions of low-albite/microcline, high-albite/sanidine, and of the ‘‘low’’ and ‘‘high’’ plagioclase series. The specified temperature and pressure ranges cover the P-T environ- ment of almost all natural waters assessable for sampling: surface waters, springs, wellheads, and downhole. Comparison between the values taken by these solubility constants (K) and activity products (Q) calculated with the aid of aqueous speciation programs such as WATCH (Arno´ rsson, Sigurdsson, and Svavarsson, 1982), EQ-3 (Wolery, 1992), WATEQ (Ball and Nordstrom, 1991), SOLMNEQ (Kharaka and others, 1988) and pH-CALC (Spycher and Reed, 1989) allows evaluation of saturation states of waters with respect to feldspars as a function of their composition and Al-Si ordering. In igneous and high grade metamorphic rocks, feldspars form plagioclase and alkali feldspar solid solutions that are, at least, partly disordered with respect to Al and Si. In the greenschist and lower temperature metamorphic facies, as well as in hydrothermally altered rocks, the feldspars are essentially pure sodium and potassium feldspars (Miya- shiro, 1994). Due to their low formation temperatures one would expect them to be largely ordered unless the phase that initially precipitates is disordered. Field data in this respect are lacking. The thermodynamic stability of feldspars is much affected by their Al-Si ordering (Waldbaum and Robie, 1971; Hovis and Waldbaum, 1977; Helgeson and others, 1978; Carpenter, McConnell, and Navrotsky, 1985; Salje, 1985; Salje and others, 1985; Berman, 1988; Hovis, 1988; Holland and Powell, 1992; Navrotsky, 1989) making disordered feldspars more soluble in water than ordered ones at low temperatures (less than ϳ300°C). As a result natural waters may be simultaneously dissolving disordered feldspars of igneous or metamorphic origin and precipitating ordered ones under hydrothermal conditions. Many researchers have carried out calorimetric experiments to retrieve data on the standard enthalpy of formation from the elements of K-feldspar, albite, and anorthite at 25°C and 1 bar (Kracek and Neuvonen, 1952; Kracek, 1953; Barany, 1962; Waldbaum, 1966, 1968; Waldbaum and Robie, 1971; Hemingway and Robie, 1977; Charlu, Newton, and Kleppa, 1978; Newton, Charlu, and Kleppa, 1980; Navrotsky and others, 1980; Hovis, 1982, 1988; Carpenter, McConnell, and Navrotsky, 1985; Kieseleva and others, 1990; Zhu, Newton, and Kleppa, 1994). Heat capacity measurements have also constants in water in the range 0° to 350°C at vapor saturation pressures 175 been carried out to obtain data on the absolute entropy of these feldspars and heat capacity-temperature relationships (Openshaw and others, 1976; Krupka, Robie, and Hemingway, 1979; Hemingway, Krupka, and Robie, 1981). When feldspars dissolve in natural waters many aqueous species form. Their relative abundance depends largely on the water pH, salinity, and temperature. In ϩ ϩ ϩ2 0 Ϫ relatively dilute waters with alkaline pH Na ,K ,Ca ,H4SiO4, and Al(OH)4 are the dominent feldspar-derived species in the temperature range 0° to 350°C and, according Ϫ Ϫ Ϫ1 to recent experiments, also the alumina-silica complex [(OH)3Al O Si(OH)3] (Pokrovski and others (1998). The thermodynamic properties of the first listed species have been established accurately in the range 0° to 350°C (Apps, Neil, and Jun, 1989; Pokrovskii and Helgeson, 1995; Diakonov and others, 1996; Rimstidt, 1997; Arno´ rsson and Andre´sdo´ ttir, 1999; Shock and Helgeson, 1988; Gunnarsson and Arno´ rsson, 1999). Thus, if the thermodynamic properties of the feldspars themselves are also accurately known, so are their equilibrium constants, when expressed in terms of these aqueous species. 0 In most natural waters silica exists largely as H4SiO4. However in alkaline waters Ͼ Ϫ (pH 9.5) an appreciable fraction of the dissolved silica occurs as H3SiO4 . The first ionization constant of silicic acid is quite accurately known over a large temperature range (Seward, 1974; Busey and Mesmer, 1977) allowing the concentration of the 0 H4SiO4 species to be calculated with good precision from analytical data on total dissolved silica. Ϫ Some disagreement still exists on the dissociation constants of Al(OH)4 and 0 Ϫ Al(OH)3. The aluminate ion (Al(OH)4 ) tends to dominate in geothermal waters although the neutral Al-hydroxy species is sometimes important. In many surface waters and 0 ϩ non-thermal groundwaters Al(OH)3 and Al(OH)2 are apparently the most abundant Al-hydroxy species. Therefore, the largest uncertainty involved in retrieving activity products (Q) for feldspar-water reactions lies in the calculation of the activities of individual aluminium species except where one can be certain that the dominant aqueous Al-hydroxy species is the aluminate ion. Assessment of the state of saturation of a wide variety of natural waters with respect to endmember and solid solution feldspars will be the subject of another contribution (Stefa´nsson and Arno´ rsson, 1999). EXPERIMENTAL THERMODYNAMIC DATA Various techniques have been used to obtain data on the thermodynamic properties of minerals. For obtaining such data at relatively low temperatures the most important ones are heat capacity and heat of solution measurements and solubility experiments. However, low temperature thermodynamic data have also been retrieved by extrapola- tion of high temperature phase equilibrium experimental results (Helgeson and others, 1978; Berman, 1988; Holland and Powell, 1990, 1998; Gottschalk, 1997). In the case of the feldspars calorimetric measurements are considered to be the most useful in assessing their thermodynamic properties at low temperatures. The results of these measurements are reviewed below. In publications on the results of thermodynamic experiments the error of measure- ment is sometimes reported, but sometimes it is not.