A Technique for Calculating the Enthalpy of Silicate Melt of Any Composition
The Kirchhoff equation was used to develop a method for calculating the enthalpy of silicate melt of any arbitrarily chosen composition with regard for the latent heat of fusion. To do this, the following two problems were solved: (a) the coefficients of the heat capacity equation of a silicate melt...
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| Veröffentlicht in: | Petrology 2019-03, Vol.27 (2), p.109-123 |
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| creator | Bychkov, D. A. Koptev-Dvornikov, E. V. |
| description | The Kirchhoff equation was used to develop a method for calculating the enthalpy of silicate melt of any arbitrarily chosen composition with regard for the latent heat of fusion. To do this, the following two problems were solved: (a) the coefficients of the heat capacity equation of a silicate melt were revised and (b) the partial molar enthalpies of formation of melt components from elements at standard state were determined. The uncertainty in calculating the heat capacity of silicate melt at 95% significance level is no greater than ±0.7 J mol
–1
K
–1
. A weak but statistically significant temperature dependence of the heat capacity was determined. The enthalpies of melts calculated using the method are comparable with the values obtained by other techniques. The calculation error at 95% significance level is ±2 relative %. |
| doi_str_mv | 10.1134/S0869591119020036 |
| format | Article |
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–1
K
–1
. A weak but statistically significant temperature dependence of the heat capacity was determined. The enthalpies of melts calculated using the method are comparable with the values obtained by other techniques. The calculation error at 95% significance level is ±2 relative %.</description><identifier>ISSN: 0869-5911</identifier><identifier>EISSN: 1556-2085</identifier><identifier>DOI: 10.1134/S0869591119020036</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Capacity ; Coefficients ; Composition ; Earth and Environmental Science ; Earth Sciences ; Enthalpy ; Geochemistry ; Heat ; Heat of fusion ; Latent heat ; Mathematical analysis ; Melting ; Melts ; Mineralogy ; Silicates ; Specific heat ; Statistical analysis ; Temperature dependence</subject><ispartof>Petrology, 2019-03, Vol.27 (2), p.109-123</ispartof><rights>Pleiades Publishing, Ltd. 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-a291t-7a31381bc2c3e56e5ea78343748e94f29157996945db77fe7b7402e7600e62053</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0869591119020036$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0869591119020036$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Bychkov, D. A.</creatorcontrib><creatorcontrib>Koptev-Dvornikov, E. V.</creatorcontrib><title>A Technique for Calculating the Enthalpy of Silicate Melt of Any Composition</title><title>Petrology</title><addtitle>Petrology</addtitle><description>The Kirchhoff equation was used to develop a method for calculating the enthalpy of silicate melt of any arbitrarily chosen composition with regard for the latent heat of fusion. To do this, the following two problems were solved: (a) the coefficients of the heat capacity equation of a silicate melt were revised and (b) the partial molar enthalpies of formation of melt components from elements at standard state were determined. The uncertainty in calculating the heat capacity of silicate melt at 95% significance level is no greater than ±0.7 J mol
–1
K
–1
. A weak but statistically significant temperature dependence of the heat capacity was determined. The enthalpies of melts calculated using the method are comparable with the values obtained by other techniques. The calculation error at 95% significance level is ±2 relative %.</description><subject>Capacity</subject><subject>Coefficients</subject><subject>Composition</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Enthalpy</subject><subject>Geochemistry</subject><subject>Heat</subject><subject>Heat of fusion</subject><subject>Latent heat</subject><subject>Mathematical analysis</subject><subject>Melting</subject><subject>Melts</subject><subject>Mineralogy</subject><subject>Silicates</subject><subject>Specific heat</subject><subject>Statistical analysis</subject><subject>Temperature dependence</subject><issn>0869-5911</issn><issn>1556-2085</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kE9LAzEQxYMoWKsfwFvA82r-Z3MsS7VCxUPreUnX2TZlm6xJeui3d5cKHsTTwLzfezM8hO4peaSUi6cVKZWRhlJqCCOEqws0oVKqgpFSXqLJKBejfo1uUtoTIoQgYoKWM7yGZufd1xFwGyKubNccO5ud3-K8Azz3eWe7_oRDi1euc43NgN-gy-Ni5k-4Coc-JJdd8LfoqrVdgrufOUUfz_N1tSiW7y-v1WxZWGZoLrTllJd007CGg1QgweqSC65FCUa0AyO1McoI-bnRugW90YIw0IoQUIxIPkUP59w-huHvlOt9OEY_nKwZ40IKboYKpoieqSaGlCK0dR_dwcZTTUk9llb_KW3wsLMnDazfQvxN_t_0Dcsfa38</recordid><startdate>20190301</startdate><enddate>20190301</enddate><creator>Bychkov, D. A.</creator><creator>Koptev-Dvornikov, E. V.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>F1W</scope><scope>H96</scope><scope>KL.</scope><scope>L.G</scope></search><sort><creationdate>20190301</creationdate><title>A Technique for Calculating the Enthalpy of Silicate Melt of Any Composition</title><author>Bychkov, D. A. ; Koptev-Dvornikov, E. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a291t-7a31381bc2c3e56e5ea78343748e94f29157996945db77fe7b7402e7600e62053</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Capacity</topic><topic>Coefficients</topic><topic>Composition</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Enthalpy</topic><topic>Geochemistry</topic><topic>Heat</topic><topic>Heat of fusion</topic><topic>Latent heat</topic><topic>Mathematical analysis</topic><topic>Melting</topic><topic>Melts</topic><topic>Mineralogy</topic><topic>Silicates</topic><topic>Specific heat</topic><topic>Statistical analysis</topic><topic>Temperature dependence</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bychkov, D. A.</creatorcontrib><creatorcontrib>Koptev-Dvornikov, E. V.</creatorcontrib><collection>CrossRef</collection><collection>Meteorological & Geoastrophysical Abstracts</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><jtitle>Petrology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bychkov, D. A.</au><au>Koptev-Dvornikov, E. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Technique for Calculating the Enthalpy of Silicate Melt of Any Composition</atitle><jtitle>Petrology</jtitle><stitle>Petrology</stitle><date>2019-03-01</date><risdate>2019</risdate><volume>27</volume><issue>2</issue><spage>109</spage><epage>123</epage><pages>109-123</pages><issn>0869-5911</issn><eissn>1556-2085</eissn><abstract>The Kirchhoff equation was used to develop a method for calculating the enthalpy of silicate melt of any arbitrarily chosen composition with regard for the latent heat of fusion. To do this, the following two problems were solved: (a) the coefficients of the heat capacity equation of a silicate melt were revised and (b) the partial molar enthalpies of formation of melt components from elements at standard state were determined. The uncertainty in calculating the heat capacity of silicate melt at 95% significance level is no greater than ±0.7 J mol
–1
K
–1
. A weak but statistically significant temperature dependence of the heat capacity was determined. The enthalpies of melts calculated using the method are comparable with the values obtained by other techniques. The calculation error at 95% significance level is ±2 relative %.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0869591119020036</doi><tpages>15</tpages></addata></record> |
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| ispartof | Petrology, 2019-03, Vol.27 (2), p.109-123 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Capacity Coefficients Composition Earth and Environmental Science Earth Sciences Enthalpy Geochemistry Heat Heat of fusion Latent heat Mathematical analysis Melting Melts Mineralogy Silicates Specific heat Statistical analysis Temperature dependence |
| title | A Technique for Calculating the Enthalpy of Silicate Melt of Any Composition |
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