Analytical functions associated with the heat capacities CP (T). Relevant Species in the Copper metallurgy Anza Victoria, Queupil Juan P, Soto-Bubert Andrés, Kumar Rajendran Satheesh, Acevedo Roberto* Facultad de Ingeniería y Tecnología, Universidad San Sebastián, Bellavista 7. Santiago-8420524, Chile *Corresponding author E-mail: roberto.acevedo.llanos@gmail.com
Online Published on 16 December, 2023. Abstract In copper pyrometallurgical processes, several chemical reactions take place at high temperatures. To adequately carry out the energy balances associated with these reactions, it is necessary to have a relatively complete thermodynamic data basis. Based on the research work carried out by Barin, who reports tables of values of heat capacities CP(T) versus temperature for various chemical compounds of interest in metallurgy. We have used this information to build up sensible mathematical adjustments that generate the heat capacity’s analytical functions as a function of the temperature, using power series, under constant pressure conditions CP(T). The mean square error is reported in each case, and the adjustments are obtained using the least-squares method. For illustrative purposes, the reactions of interest are presented in the text, where these functions are appropriate. The reported species are the following: Cu2O: Copper Oxide; Cu2S: Chalcocite; Cu: Copper; FeS: Ferrous Sulfide; : Fayalite; : Magnetite; Si O2: Silica; CuFeS2: Chalcopyrite; CuS: Copper Sulfide; Cu5FeS4: Bornite; FeS2: Pyrite. The error is calculated, and we have found that the fitting is reasonable; it is , generating reasonable adjustments, which are compared with the table data using graphs in each case. The result allows us to obtain integrable functions that facilitate engineering calculations when performing balances or interpolating values in the temperature range where the function is valid for each reported species.Top Keywords Copper metallurgy, Energy balance, Analytical functions, Heat capacity. Top |