Improving the Efficiencies of Copper Pyrometallurgy Through Exergy Assessment
Abstract
1. Introduction
2. Copper Pyrometallurgy Operations
2.1. Description of Copper Processing Stages
2.2. Technologies in Use
3. Exergy Analysis
3.1. Methodology
3.2. Study Cases
4. Results and Discussion
4.1. Flash Smelting Analysis
4.2. Converting Operation
- ◦
- Toxic SO2 is liberated, and this constitutes a serious health and environmental risk;
- ◦
- As SO2 mixes with the surrounding air, it dilutes, making its capture more difficult. This reduces the efficiency of acid plant production;
- ◦
- As major gas volume is produced, the entropy of the off gases increases, so when the energy content in such gases is partially recovered, their energy quality decreases, making it harder to recover the energy stored in them.
4.3. Fire Refining
- ◦
- Oxygen enrichment in the blast;
- ◦
- Air preheating;
- ◦
- Matte grade;
- ◦
- Mineralogy (feedstock).
4.4. Effect of Oxygen Enrichment in the Blast
4.5. Effect of Gas Preheating
4.6. Effect of Matte Grade
4.7. Effect of Mineral Composition in the Process Feedstock
4.8. General Discussion
5. Concluding Remarks
- ◦
- Decrease the Fe/Cu mass ratio in the initial mineral feedstock. Via this, higher initial copper contents in the concentrates fed to the copper refining operations would result in the increased overall efficiency of the copper-making process.
- ◦
- Recycle copper anode scrap in the smelter rather than in the converting unit. It is customary to add scrap to the converter for temperature control purposes, not to improve energy usage efficiency. However, by adding copper scrap to the smelter, the initial iron content would dilute, enhancing the elimination of iron. It is necessary to run trials to evaluate how much scrap can be added to the smelter without making the smelting operation more expensive economically wise.
- ◦
- Use oxygen-enriched air with at least 40% Vol of oxygen enrichment. By virtue of this, the volume of off gases would be reduced while obtaining more concentrated SO2 gas to ease its capture and to decrease its footprint. Heat losses to the off gas stream should decrease as the relative amount of nitrogen would dilute.
- ◦
- Decrease the use of fuels to preheat the smelter blast as much as possible. It was shown that using additional gas to preheat the blast into the smelter is not really required. The blast can be heated directly from the heat released by the exothermic oxidation reactions taking place in the flash smelter. Additional fuel gas only adds to harmful gaseous emissions, increasing the footprint associated with copper making.
- ◦
- Recover as much energy as possible from the off gases streams. It was discussed that process gases carry significant amounts of heat. The recovery of such wasted energy would increase the energy efficiency of the copper-making operation while reducing the environmental impacts associated with copper refining.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
| Species | State | A | B | C | D | Temperature Interval |
|---|---|---|---|---|---|---|
| As2S3 | s | 179.100 | −220.754 | −18.089 | 252.715 | 298–450 |
| s | 105.646 | 36.447 | 0.000 | 0.000 | 450–585 | |
| l | 185.000 | 0.000 | 0.000 | 0.000 | 585–2000 | |
| As2O3 | s | 88.052 | 72.668 | −11.414 | 0.000 | 298–585 |
| l | 152.716 | 0.000 | 0.000 | 0.000 | 585–734 | |
| As2S2 | s | 82.956 | 37.363 | 0.000 | 0.000 | 298–580 |
| l | 146.440 | 0.000 | 0.000 | 0.000 | 580–700 | |
| As4O6 | s | 70.040 | 406.685 | 0.000 | 0.000 | 298–582 |
| l | 305.432 | 0.000 | 0.000 | 0.000 | 582–670 | |
| As2O6 | ||||||
| Sb2S3 | s | 101.844 | 60.529 | −0.002 | 0.011 | 298–823 |
| l | 167.360 | 0.000 | 0.000 | 0.000 | 823–1200 | |
| Sb4O6 | s | 0.000 | 0.000 | 0.000 | 0.000 | 298–300 |
| Sb2O3 | s | 118.307 | −8.354 | −12.771 | 35.442 | 298–879 |
| s | −749.204 | 1299.103 | 1146.336 | −513.903 | 879–928 | |
| l | 180.000 | 0.000 | 0.000 | 0.000 | 928–4000 | |
| Bi2S3 | s | 109.830 | 41.003 | 0.000 | 0.000 | 298–1050 |
| l | 209.200 | 0.000 | 0.000 | 0.000 | 1050–1200 | |
| ZnS | s | 48.676 | 5.760 | −4.119 | 0.003 | 298–1293 |
| s | 49.751 | 4.488 | −4.551 | −0.005 | 1293–2100 | |
| l | 67.000 | 0.000 | 0.000 | 0.000 | 2100–3000 | |
| ZnO | s | 47.584 | 3.903 | −7.504 | 1.279 | 298–2250 |
| l | 67.000 | 0.000 | 0.000 | 0.000 | 2250–4000 | |
| PbS | s | 60.962 | −18.814 | −6.261 | 13.382 | 298–1386.5 |
| l | 67.000 | 0.000 | 0.000 | 0.000 | 1386.5–3000 | |
| PbO | s | 45.179 | 12.887 | −2.887 | −0.013 | 298–1159 |
| l | 64.998 | 0.000 | 0.000 | 0.000 | 1159–2000 | |
| FeS2 | s | 72.387 | 8.850 | −11.428 | 0.001 | 298–1500 |
| FeS | s | −273.270 | 779.182 | 81.241 | 0.000 | 298–411 |
| s | 72.358 | 0.000 | 0.000 | 0.000 | 411–598 | |
| s | 94.584 | −83.667 | 1.410 | 47.944 | 598–1465 | |
| l | 62.551 | 0.000 | 0.000 | 0.000 | 1465–3000 | |
| FeO | s | 50.278 | 3.651 | −1.941 | 8.234 | 298–600 |
| s | 30.849 | 46.228 | 11.694 | −19.278 | 600–900 | |
| s | 90.408 | −38.021 | −83.811 | 15.358 | 900–1300 | |
| s | 153.698 | −82.062 | −374.814 | 21.975 | 1300–1650 | |
| l | 68.199 | 0.000 | 0.000 | 0.000 | 1650–5000 | |
| Fe3O4 | s | 475.215 | −873.665 | −120.520 | 800.730 | 298–850 |
| s | 49.827 | 72.534 | 855.536 | 0.000 | 850–1870 | |
| l | 213.384 | 0.000 | 0.000 | 0.000 | 1870–2000 | |
| FeO*SiO2 | s | 92.592 | 42.677 | −14.100 | 0.000 | 298–1413 |
| FeAsS | s | 62.886 | 40.585 | 1.423 | 0.000 | 298–500 |
| SiO2 | s | 58.082 | −0.033 | −14.259 | 28.221 | 298–847 |
| s | 58.873 | 10.071 | 0.117 | 0.000 | 847–1079 | |
| s | 72.735 | 1.331 | −41.288 | −0.013 | 1079–1996 | |
| l | 85.772 | 0.000 | 0.000 | 0.000 | 1996–3000 | |
| Cu | s | 21.988 | 15.303 | −0.736 | −14.437 | 100–400 |
| s | 26.013 | −0.110 | −1.725 | 2.800 | 400–800 | |
| s | 44.407 | −29.417 | −23.841 | 16.090 | 800–1357.77 | |
| l | 31.400 | 0.000 | 0.000 | 0.000 | 1357.77–6000 | |
| Cu2O | s | 64.550 | 17.581 | −6.393 | −0.001 | 298–1517 |
| l | 99.900 | 0.000 | 0.000 | 0.000 | 1517–4000 | |
| Cu2S | s | 53.438 | 76.459 | −0.117 | 2.456 | 298–376 |
| s | 112.140 | −30.973 | −0.046 | 0.147 | 376–717 | |
| s | 85.019 | 0.000 | 0.000 | 0.000 | 717–1402 | |
| l | 83.680 | 0.000 | 0.000 | 0.000 | 1402–2000 | |
| CuS | s | 43.671 | 20.136 | −2.102 | −0.005 | 298–1000 |
| CuSO4 | s | 38.676 | 252.380 | −1.588 | −148.155 | 298–500 |
| s | 100.848 | 102.751 | −33.107 | −47.162 | 500–800 | |
| s | 149.213 | 11.265 | −67.612 | 0.049 | 800–2000 | |
| CuFeS2 | s | 86.985 | 53.555 | −5.607 | 0.000 | 298–830 |
| s | −1441.974 | 1844.977 | 0.000 | 0.000 | 830–930 | |
| s | 172.464 | 0.000 | 0.000 | 0.000 | 930–1200 | |
| O2 | g | 22.060 | 20.887 | 1.621 | −8.207 | 298–700 |
| g | 29.793 | 7.910 | −6.194 | −2.204 | 700–1200 | |
| g | 34.859 | 1.312 | −14.140 | 0.163 | 1200–2500 | |
| SO2 | g | 29.134 | 37.222 | 0.058 | −2.885 | 50–500 |
| g | 54.779 | 3.350 | −24.745 | −0.241 | 500–5000 |
| Reaction | [kJ] |
|---|---|
| As2S3 + 9/2 O2 = As2O3 + 3 SO2 | −1452.533 |
| As2S3 + O2 = As2S2 + SO2 | −275.241 |
| As2S3 + 9/2 O2 = 1/2 As4O6 + 3 SO2 | −1396.587 |
| Sb2S3 + 9/2 O2 = 1/2 Sb4O6 + 3 SO2 | −1296.296 |
| Sb2S3 + 9/2 O2 = Sb2O3 + 3 SO2 | −1393.968 |
| Bi2S3 + 9/2 O2 = 1/2 Bi2O6 + 3 SO2 | −1151.284 |
| ZnS + 3/2 O2 = ZnO + SO2 | −444.312 |
| PbS + 3/2 O2 = PbO + SO2 | −416.574 |
| FeS2+ O2 = FeS + SO2 | −226.984 |
| FeO + 1/6 O2 = 1/3 Fe3O4 | −104.563 |
| FeO + SiO2 = FeO*SiO2 | 23.343 |
| FeAsS + 1/2 O2 = 1/2 As2S2 + FeO | −260.834 |
| FeS + 3/2 O2 = FeO + SO2 | −462.411 |
| FeAsS + 9/4 O2 = 1/4 As4O6 + FeO + SO2 | −850.567 |
| FeAsS + 9/4 O2 = 1/2 As2O3 + FeO + SO2 | −849.480 |
| Cu + 1/4 O2 = 1/2 Cu2O | −85.300 |
| CuFeS2 + 1/2 O2 = 1/2 Cu2S + FeS + 1/2 SO2 | −99.454 |
| CuS + 1/2 O2 = 1/2 Cu2S + 1/2 SO2 | −132.154 |
| 2 CuSO4 + 3 FeS2 = Cu2S + 3 FeS + 4 SO2 | 485.538 |
| Species | [kJ/mole] | [kJ/mole] |
|---|---|---|
| As2S3 | 2713.35 | −95.46 |
| As2O3 | 412.9 | −580.71 |
| As2S2 | 2063.18 | −138.58 |
| As4O6 | ||
| As2O6 | ||
| Sb2S3 | 2523.44 | −173.75 |
| Sb4O6 | ||
| Sb2O3 | 2523.44 | −173.75 |
| Bi2S3 | 2230.31 | −140.68 |
| ZnS | 744.08 | −202.22 |
| ZnO | 20.52 | −320.71 |
| PbS | 740.69 | −98.77 |
| PbO | 45.16 | −189.24 |
| FeS2 | 1440.37 | −150.72 |
| FeS | 883.56 | −100.48 |
| FeO | 127.34 | −251.63 |
| Fe3O4 | 127.38 | −1011.53 |
| FeO*SiO2 | 277.08 | −1338.94 |
| FeAsS | 1427.63 | −50.24 |
| SiO2 | 3.13 | −854.94 |
| Cu | 134.25 | 0 |
| Cu2O | 123.53 | −146.96 |
| Cu2S | 789.3 | −86.25 |
| CuS | 692.31 | −48.99 |
| CuSO4 | 86.89 | −662.35 |
| CuFeS2 | 1534.44 | −190.9 |
| O2 | 3.97 | 0 |
| SO2 | 310.41 | −300.61 |
| Element | [kJ/mole] |
|---|---|
| Sb | 438.02 |
| As | 493.83 |
| Bi | 274.92 |
| Cu | 134.25 |
| Fe | 376.99 |
| Pb | 232.41 |
| O2 | 3.97 |
| Si | 854.10 |
| S | 607.05 |
| Zn | 339.25 |
| Concentrate | |
|---|---|
| Species | Wt% |
| CuFeS2 | 30.50 |
| CuS | 8.50 |
| Cu2S | 17.00 |
| CuO | 0.01 |
| FeS2 | 33.80 |
| FeAsS | 0.01 |
| ZnS | 1.28 |
| PbS | 0.03 |
| SiO2 | 3.57 |
| Al2O3 | 4.29 |
| As2S3 | 0.84 |
| Sb2S3 | 0.15 |
| Bi2S3 | 0.02 |
| Matte | |
| Species | Wt% |
| Cu2S | 72.34 |
| FeS | 26.80 |
| FeAsS | 0.01 |
| ZnS | 0.74 |
| PbS | 0.02 |
| Sb2S3 | 0.05 |
| Bi2S3 | 0.04 |
| Blister | |
| Species | Wt% |
| Cu | 96.00 |
| CuO | 3.00 |
| PbO | 0.10 |
| Sb2S3 | 0.14 |
| Bi2S3 | 0.13 |
| ZnS | 0.21 |
| Others | 0.42 |
| Mineral blend 1 (CuFeS2 + FeS2) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Species | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) |
| CuFeS2 | 598.0 | 1.56 | 20.42 | 630.0 | 1.45 | 21.81 | 650.0 | 1.40 | 22.50 | 710.0 | 1.24 | 24.23 | 760.0 | 1.12 | 25.94 |
| CuO | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | ||||||||||
| FeS2 | 302.0 | 270.0 | 250.0 | 190.0 | 140.0 | ||||||||||
| FeAsS | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | ||||||||||
| ZnS | 10.8 | 10.8 | 10.8 | 10.8 | 10.8 | ||||||||||
| PbS | 0.3 | 0.3 | 0.3 | 0.3 | 0.3 | ||||||||||
| SiO2 | 35.7 | 35.7 | 35.7 | 35.7 | 35.7 | ||||||||||
| Al2O3 | 42.9 | 42.9 | 42.9 | 42.9 | 42.9 | ||||||||||
| As2S3 | 8.4 | 8.4 | 8.4 | 8.4 | 8.4 | ||||||||||
| Sb2S3 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | ||||||||||
| Bi2S3 | 0.2 | 0.2 | 0.2 | 0.2 | 0.2 | ||||||||||
| Mineral blend 2 (CuFeS2 + Cu2S +FeS2) | |||||||||||||||
| Species | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) | Weight (kg) | Fe/Cu | Cu (%) |
| CuFeS2 | 490.0 | 1.52 | 20.87 | 390.0 | 1.33 | 22.68 | 397.0 | 1.29 | 23.13 | 376.0 | 1.18 | 24.49 | 362.0 | 1.12 | 25.40 |
| Cu2S | 50.0 | 115.0 | 118.0 | 145.0 | 163.0 | ||||||||||
| CuO | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | ||||||||||
| FeS2 | 360.0 | 395.0 | 385.0 | 379.0 | 375.0 | ||||||||||
| FeAsS | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | ||||||||||
| ZnS | 10.8 | 10.8 | 10.8 | 10.8 | 10.8 | ||||||||||
| PbS | 0.3 | 0.3 | 0.3 | 0.3 | 0.3 | ||||||||||
| SiO2 | 35.7 | 35.7 | 35.7 | 35.7 | 35.7 | ||||||||||
| Al2O3 | 42.9 | 42.9 | 42.9 | 42.9 | 42.9 | ||||||||||
| As2S3 | 8.4 | 8.4 | 8.4 | 8.4 | 8.4 | ||||||||||
| Sb2S3 | 1.5 | 1.5 | 1.5 | 1.5 | 1.5 | ||||||||||
| Bi2S3 | 0.2 | 0.2 | 0.2 | 0.2 | 0.2 | ||||||||||
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| Mineral Species | wt % | wt % | wt % | wt %o | wt % |
|---|---|---|---|---|---|
| Blend 1: CuFeS2 + FeS2 | |||||
| B11 | B12 | B13 | B14 | B15 | |
| CuFeS2 | 59.8 | 63.0 | 65.0 | 71.0 | 76.0 |
| CuO | 0.01 | 0.01 | 0.01 | 0.01 | 0.01 |
| FeS2 | 30.2 | 27.0 | 25.0 | 19.0 | 14.0 |
| FeAsS | 0.01 | 0.01 | 0.01 | 0.01 | 0.01 |
| ZnS | 1.08 | 1.08 | 1.08 | 1.08 | 1.08 |
| PbS | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 |
| SiO2 | 3.57 | 3.57 | 3.57 | 3.57 | 3.57 |
| Al2O3 | 4.29 | 4.29 | 4.29 | 4.29 | 4.29 |
| As2S3 | 0.84 | 0.84 | 0.84 | 0.84 | 0.84 |
| Sb2S3 | 0.15 | 0.15 | 0.15 | 0.15 | 0.15 |
| Bi2S3 | 0.02 | 0.02 | 0.02 | 0.02 | 0.02 |
| Fe/Cu | 1.55 | 1.42 | 1.37 | 1.24 | 1.12 |
| Blend 2: CuFeS2 + FeS2 + Cu2S | |||||
| B21 | B22 | B23 | B24 | B25 | |
| CuFeS2 | 49.0 | 39.0 | 39.7 | 37.6 | 36.2 |
| Cu2S | 5.0 | 11.5 | 11.8 | 14.5 | 16.3 |
| CuO | 0.01 | 0.01 | 0.01 | 0.01 | 0.01 |
| FeS2 | 36.0 | 39.5 | 38.5 | 37.9 | 37.5 |
| FeAsS | 0.01 | 0.01 | 0.01 | 0.01 | 0.01 |
| ZnS | 1.08 | 1.08 | 1.08 | 1.08 | 1.08 |
| PbS | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 |
| SiO2 | 3.57 | 3.57 | 3.57 | 3.57 | 3.57 |
| Al2O3 | 4.29 | 4.29 | 4.29 | 4.29 | 4.29 |
| As2S3 | 0.84 | 0.84 | 0.84 | 0.84 | 0.84 |
| Sb2S3 | 0.15 | 0.15 | 0.15 | 0.15 | 0.15 |
| Bi2S3 | 0.02 | 0.02 | 0.02 | 0.02 | 0.02 |
| Fe/Cu | 1.52 | 1.33 | 1.29 | 1.18 | 1.11 |
| MASS BALANCE [kg] | |||||||
|---|---|---|---|---|---|---|---|
| INPUT [kg] | OUTPUT [kg] | ||||||
| Concentrate Silica flux Air Oxygen (excess) | 1000.00 48.00 1053.91 316.30 | Matte (grade 63) Slag Off gases Mass lost due to handling | 449.08 310.46 1350.46 308.21 | ||||
| TOTAL | 2418.21 | TOTAL | 2418.21 | ||||
| ENERGY BALANCE [MJ] | |||||||
| INPUT [MJ] | OUTPUT [MJ] | ||||||
| Concentrate Air + Oxygen Heat of reaction | 751.23 1002.29 2893.76 | Matte (grade 63) Slag Off gases Heat loses | 319.69 630.57 1765.07 1932.52 | ||||
| TOTAL | 4647.28 | TOTAL | 4647.85 | ||||
| EXERGY BALANCE [MJ] | |||||||
| INPUT [MJ] | OUTPUT [MJ] | ||||||
| Physical | Chemical | Total | Physical | Chemical | Total | ||
| Concentrate Air + Oxygen | 680.22 1200.00 | 7371.76 97.00 | 8051.98 1297.00 | Matte (grade 63) Slag Off gases | 193.17 161.62 947.60 | 2459.57 538.54 2653.34 | 2652.74 700.16 3600.94 |
| TOTAL | 9348.98 | TOTAL | 6953.84 | ||||
| MASS BALANCE [kg] | |||||||
|---|---|---|---|---|---|---|---|
| INPUT [kg] | OUTPUT [kg] | ||||||
| Matte Silica flux Air Oxygen (excess) | 449.08 40.89 328.63 75.58 | Blister Slag Off gases Mass lost due to handling | 154.80 178.59 323.00 237.79 | ||||
| TOTAL | 894.18 | TOTAL | 894.18 | ||||
| ENERGY BALANCE [MJ] | |||||||
| INPUT [MJ] | OUTPUT [MJ] | ||||||
| Matte Silica flux Air + Oxygen Heat of reaction | 319.69 59.49 623.80 1169.89 | Blister Slag Off gases Heat loses | 109.81 199.20 1065.20 798.66 | ||||
| TOTAL | 2172.87 | TOTAL | 2172.87 | ||||
| EXERGY BALANCE [MJ] | |||||||
| INPUT [MJ] | OUTPUT [MJ] | ||||||
| Physical | Chemical | Total | Physical | Chemical | Total | ||
| Matte Silica flux Air + O2 | 680.22 37.66 1000.00 | 2471.40 469.00 97.00 | 3151.62 506.66 1097.00 | Blister Slag Off gases | 84.27 123.37 947.60 | 362.21 195.32 852.43 | 446.48 318.69 1800.03 |
| TOTAL | 4755.28 | TOTAL | 2565.20 | ||||
| MASS BALANCE [kg] | |||||||
|---|---|---|---|---|---|---|---|
| INPUT [kg] | OUTPUT [kg] | ||||||
| Blister Natural gas Air | 153.30 0.23 5.41 | Anode copper Slag Off gases Mass lost due to handling | 143.14 2.21 7.92 5.67 | ||||
| TOTAL | 158.94 | TOTAL | 158.94 | ||||
| ENERGY BALANCE [MJ] | |||||||
| INPUT [MJ] | OUTPUT [MJ] | ||||||
| Blister Natural gas + air Heat of reaction | 109.81 5.00 49.75 | Anode copper Slag Off gases Heat loses | 62.43 1.30 8.39 92.44 | ||||
| TOTAL | 164.56 | TOTAL | 164.56 | ||||
| EXERGY BALANCE [MJ] | |||||||
| INPUT [MJ] | OUTPUT [MJ] | ||||||
| Physical | Chemical | Total | Physical | Chemical | Total | ||
| Blister Natural gas + Air | 84.27 30.00 | 362.21 50.00 | 446.48 80.00 | Anode copper Slag Off gases | 32.13 0.81 5.17 | 302.24 1.48 18.02 | 334.37 2.29 23.19 |
| TOTAL | 526.48 | TOTAL | 359.85 | ||||
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Ruiz-Ruiz, D.M.; Ramírez-Ramírez, L.J.; Almaraz-Gómez, A.; Bautista-Aguilar, A.H.; Chacón-Nava, J.G.; Plascencia, G. Improving the Efficiencies of Copper Pyrometallurgy Through Exergy Assessment. Thermo 2025, 5, 58. https://doi.org/10.3390/thermo5040058
Ruiz-Ruiz DM, Ramírez-Ramírez LJ, Almaraz-Gómez A, Bautista-Aguilar AH, Chacón-Nava JG, Plascencia G. Improving the Efficiencies of Copper Pyrometallurgy Through Exergy Assessment. Thermo. 2025; 5(4):58. https://doi.org/10.3390/thermo5040058
Chicago/Turabian StyleRuiz-Ruiz, Diana Marel, Luis Jesús Ramírez-Ramírez, Aarón Almaraz-Gómez, Ayrton Homero Bautista-Aguilar, José Guadalupe Chacón-Nava, and Gabriel Plascencia. 2025. "Improving the Efficiencies of Copper Pyrometallurgy Through Exergy Assessment" Thermo 5, no. 4: 58. https://doi.org/10.3390/thermo5040058
APA StyleRuiz-Ruiz, D. M., Ramírez-Ramírez, L. J., Almaraz-Gómez, A., Bautista-Aguilar, A. H., Chacón-Nava, J. G., & Plascencia, G. (2025). Improving the Efficiencies of Copper Pyrometallurgy Through Exergy Assessment. Thermo, 5(4), 58. https://doi.org/10.3390/thermo5040058

