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This study investigates the optimization of quantitative analysis and extraction of copper from rocks in Oman. The focus is on enhancing the efficiency and accuracy of these processes for sustainable mining operations. The research employs Response Surface Methodology (RSM) to identify the optimal conditions for extracting copper using phosphoric acid boiling and thermite mixture methods. X-Ray Diffraction (XRD) is employed to characterize the extracted samples and understand the mineralogical compositions. The RSM analysis revealed the optimal conditions for copper extraction using phosphoric acid boiling. X-ray diffraction analysis of the extracted copper samples showed that the majority of the copper was extracted as metallic Copper (Cu). The optimization of these processes is crucial for improving the efficiency and sustainability of mining operations in the country. X-ray diffraction analysis provides valuable insights into the mineralogical composition of the extracted samples, which can be used to optimize the extraction processes further. [ABSTRACT FROM AUTHOR]