ZIMBABWE SCHOOL OF MINES Serving The SADC Mining Industry METALLURGICAL ASSAYING Topic Assessing Carbon Ashing as an Alternative to Perchloric Acid Digestion: A Multi-Factor Study. DANSCIEL SAMUSHONGA Z23296 A project submitted in partial fulfilment of the requirements for the Zimbabwe school of mines Diploma in Metallurgical Assaying. Zimbabwe September 2025 i ZIMBABWE SCHOOL OF MINES Serving the SADC Mining Industry PROJECT RELEASE FROM I certify that the following student Dansciel Samushonga Student number Z23296 was under my supervision. I further certify that he attended all the scheduled meetings with me and that he has fulfilled all the requirements that I set before him/her as the supervisor. It is my professional judgement that the project is of sufficiently high standard as to be submitted with my name attached to it as the supervisor. I hereby release the student without reservation to submit his project for marking Name of Supervisor: Mr. T. Jacha Signature……………………….. 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Name: Dansciel Samushonga Signature…………… Date………………... iv Abstract A Comprehensive Evaluation of Dry Carbon Ashing as a Safer and Cost-Effective Alternative to Perchloric Acid Digestion for the Analysis of Gold-Loaded Carbon at Ayrshire Mine Assay Laboratory This study investigates safer and more cost-effective methods for preparing carbon samples for gold analysis at Ayrshire Mine Assay Laboratory. Traditionally, perchloric acid digestion has been used to remove carbon from activated carbon samples before gold determination by Atomic Absorption Spectrometry (AAS). While effective, this method poses severe safety risks, high costs, and operational constraints that conflict with ISO 45001 safety standards.Perchloric acid is a highly hazardous oxidizer that can form explosive compounds, creating catastrophic risks to personnel and infrastructure. The method also requires costly acid procurement, specialized fume hoods, and hazardous waste management. Additionally, the hot-plate process limits throughput and delays sample turnaround. To address these challenges, this project evaluates dry carbon ashing as an alternative. The method employs a muffle furnace at 550–600 °C to oxidize carbon into carbon dioxide, leaving mineral ash for gold recovery. The research aimed to confirm whether dry ashing could provide comparable analytical accuracy while improving safety, reducing costs, and increasing efficiency. The study was conducted in four phases: (1) Analytical validation by comparing gold recoveries from perchloric acid digestion and dry ashing; (2) A safety assessment using a risk register and 5x5 risk matrix; (3) An economic analysis of per-sample costs, including labor, reagents, and equipment; and (4) Evaluation of throughput and processing capacity.Results confirmed that dry ashing produces gold recoveries nearly identical to perchloric acid digestion, with all values falling within acceptable analytical limits. Safety analysis showed that perchloric acid carried the highest inherent risk (score 25, “Very High”), while dry ashing hazards such as thermal burns were reduced to “Low” with basic controls. Economically, dry ashing reduced costs by more than 50%, primarily due to eliminating perchloric acid and enabling unattended batch processing, which also improved laboratory capacity. In conclusion, dry carbon ashing is a safer, cheaper, and more efficient alternative that aligns with ISO 45001 standards and enhances laboratory productivity. It is recommended that Ayrshire Mine adopt dry ashing as the new standard procedure to replace perchloric acid digestion. v ACKNOWLEDGEMENTS I would be remise if I did not show gratitude to the following individuals as they were instrumental in the course of this study. Starting off with my supervisor Mr. T Jacha who was my supervisor for this study. He was there with me every step of the way giving me guidance, corrections and suggestions I could not have completed this project without him. I would also like a extend a hand to my supervisor from Ayrshire Mine Mr. Matete as he was the individual who assisted me in the practical aspects of the study whilst I was attached at Ayrshire Mine. Last but not least it would be criminal of me if did not mention how grateful I am toward my parents for their monumental, unsurmountable support towards me. vi DEDICATION I would like to dedicate this project to Ayrshire Mine and its embitterment vii PROJECT RELEASE FROM ..................................................................................................... ii Copyright.................................................................................................................................... iii Declaration of Plagiarism ........................................................................................................... iv Abstract ....................................................................................................................................... v ACKNOWLEDGEMENTS ....................................................................................................... vi DEDICATION .......................................................................................................................... vii Chapter 1: ........................................................................................................................................ 1 1.0 Introduction ........................................................................................................................... 1 1.0.1 History and location of Ayrshire Mine ............................................................................... 1 1.2 Geological and Mineralogical Setup ................................................................................. 3 1.3 Background of study ......................................................................................................... 4 1.3.1 By implementing the dry carbon ashing method, the Ayrshire Mine laboratory would achieve the following: ............................................................................................................. 4 1.3.2 Structure of the organization .......................................................................................... 6 1.3.3 The different departments at Ayrshire mine ................................................................... 7 1.3.4 Process overview of Ayrshire Mine Assay Laboratory. ................................................. 9 1.3.5 Ayrshire Mine Mission statement ................................................................................ 10 1.3.6 Vision ........................................................................................................................... 10 1.3.7 Core Values of Ayrshire Mine ...................................................................................... 10 1.3.8 Policies Ayrshire Mine conforms to: ............................................................................ 10 1.4 Problem statement ........................................................................................................... 11 1.4.2 Aim .............................................................................................................................. 11 1.4.3 Objectives .................................................................................................................... 11 Chapter 2 ....................................................................................................................................... 12 2.1 Introduction ..................................................................................................................... 12 2.2 Definitions and terminology ........................................................................................... 12 2.3 Dry carbon ashing method .............................................................................................. 13 2.4 Perchloric Acid Digestion of Carbon .............................................................................. 15 2.5 Why replace perchloric acid? .......................................................................................... 16 2.6 Ideal carbon condition for dry ashing ............................................................................. 19 viii 2.7.1 Muffle furnace ............................................................................................................. 20 2.7.2 The use of a muffle furnace in carbon ashing .............................................................. 20 2.8.1 Hot plate ....................................................................................................................... 21 2.8.2 The use of a hot plate in carbon digestion ................................................................... 22 2.8.3 The uses of the hot plate components: ......................................................................... 23 2.9 Atomic absorption spectrometer ..................................................................................... 23 2.9.2 The uses of AAS parts.................................................................................................. 25 2.9.2 The use of an Atomic Absorption Spectrometer in the analysis of carbon solutions for gold ....................................................................................................................................... 26 2.9.3 Conclusion .................................................................................................................... 26 References ............................................................................................................................. 27 Chapter 3 ....................................................................................................................................... 28 3.1 Research Design.............................................................................................................. 28 3.2.1 Carbon samples ............................................................................................................ 28 3.3 phase 1: Carbon ashing and carbon digestion using perchloric acid .............................. 28 3.3.1 Aim for carbon ashing .................................................................................................. 28 3.3.2 Safety / PPE Required .................................................................................................. 28 3.3.3 Materials and Equipment ............................................................................................. 29 3.3.4 Procedure ..................................................................................................................... 29 3.4 Acid digestion of carbon ................................................................................................ 30 3.4.1 Aim ............................................................................................................................... 30 3.4.2 Safety measures and equipment ................................................................................... 30 3.4.3 Reagents and equipment .............................................................................................. 31 3.4.4 Procedure for perchloric acid digestion of carbon ....................................................... 31 3.5 Phase 2 Procedure for Developing, Using, and Displaying a Risk Register .................. 32 3.5.1 Scope ............................................................................................................................ 32 3.5.2 Identify Hazards ........................................................................................................... 32 3.5.3 Describe Consequences ............................................................................................... 33 3.5.4 Estimate Likelihood ..................................................................................................... 33 3.5.5 Assign Inherent Risk Rating ........................................................................................ 33 ix 3.5.6 Define Controls / Mitigation Measures........................................................................ 33 3.5.7 Assign Residual Risk Rating........................................................................................ 33 3.5.8 Populate the Risk Register ........................................................................................... 33 3.5.9 Display the Data ........................................................................................................... 33 3.6.1 Validation calculations ..................................................................................................... 34 3.6.2 Accuracy .......................................................................................................................... 34 3.6.3 Precision ........................................................................................................................... 34 3.6.4 Paired Differences. ........................................................................................................... 34 3.6.4 Limits of agreement ......................................................................................................... 35 3.6.5 Correlation and linear regression ..................................................................................... 35 3.8 Define the Cost Categories ................................................................................................. 36 3.8.1 Tracking Energy Consumption ........................................................................................ 36 3.8.2 Tracking Time Costs ........................................................................................................ 36 3.8.3 Tracking Materials / Consumables............................................................................... 36 3.8.4 Tracking Maintenance and Repairs .................................................................................. 37 3.8.5 Calculation Procedure ...................................................................................................... 37 Chapter 4 ....................................................................................................................................... 38 Analysis of precious metal from carbon ash ......................................................................... 38 4.1.3 side to side comparison on results of carbon ashing and perchloric acid digestion in the analysis of gold ......................................................................................................................... 40 The development of a risk register to assess the safety of both methods ............................. 42 4.2.1 5 x 5 matrix ..................................................................................................................... 42 4.2.2 Risk rating into different ranges ...................................................................................... 42 4.2.3 Risk register for perchloric acid digestion and carbon ashing ......................................... 43 4.2.4 Risk rating visuals and explanation ............................................................................. 44 4.2.5 Residual risk assessment .................................................................................................. 44 4.2.6 Risk impact ...................................................................................................................... 45 4.2.7 Visualizing impact and occurrence of residual risk ......................................................... 45 4.3 Validation for carbon ashing over perchloric acid digestion............................................... 46 4.3.1. Accuracy / Trueness ........................................................................................................ 46 4.3.2 Precision / Repeatability .................................................................................................. 46 x 4.3.3 Method Comparison (Paired Test and Correlation) ......................................................... 46 4.3.4 Summary of Validation Metrics ....................................................................................... 46 4.3.5 Conclusion ....................................................................................................................... 47 4.4 Comparing time and energy usage for carbon ashing and perchloric acid digestion ......... 47 4.4.1 For the muffle furnace which runs for 4h at a power rating of 4kW ............................... 47 4.4.2 For the hot plate which runs for three hours .................................................................... 48 4.5 Calculating cost ................................................................................................................... 48 4.5.1 Cost for carbon ashing ..................................................................................................... 48 4.5.2 Cost per sample for acid digestion ................................................................................... 50 Chapter 5 ....................................................................................................................................... 51 5.1 Conclusion .......................................................................................................................... 52 5.1.2 Recommendations ............................................................................................................ 53 5.2 References ........................................................................................................................... 53 xi Table of Figures Figure 1Location of Ayrshire Mine ................................................................................................. 1 Figure 2Organogram of Ayrshire Mine ........................................................................................... 6 Figure 3 Process overview for Ayrshire Mine ................................................................................ 9 Figure 4: Muffle furnace ............................................................................................................... 21 Figure 5:A hot plate ...................................................................................................................... 22 Figure 6Ayrshire Mine's Atomic Absorption Spectrometer .......................................................... 24 Figure 7: Schematic diagram of the AAS machine ....................................................................... 25 Figure 8:Bar Graph for gold in Carbon Ash ................................................................................. 38 Figure 9:Bar graph for perchloric acid gold analysis .................................................................... 40 Figure 10: Results for both gold in ash and in perchloric acid ..................................................... 41 Figure 11:Inherent and Residual risk ............................................................................................ 44 Figure 12: Risk Assessment Graph ............................................................................................... 45 Figure 13 Validation for carbon ashing ......................................................................................... 47 Figure 14 Power and time graph ................................................................................................... 48 Figure 15: Comparing cost between Dry ashing and Perchloric Acid digestion .......................... 51 xii List of tables Table 1 Assay results for carbon ashing ........................................................................................ 38 Table 2 Results for perchloric acid digested carbon ..................................................................... 39 Table 3Side to side comparison for carbon ashing and perchloric acid digestion ........................ 41 Table 4 5 X 5 matrix ..................................................................................................................... 42 Table 5 Risk rating table ............................................................................................................... 42 Table 6 Risk register ..................................................................................................................... 43 Table 7Residual risk assessment ................................................................................................... 45 Table 8 Impact rating table ........................................................................................................... 45 Table 9 Accuracy table .................................................................................................................. 46 Table 10 Precision Table ............................................................................................................... 46 Table 11Validation metrics table ................................................................................................... 46 Table 12 Power and Time table ..................................................................................................... 48 xiii Chapter 1: 1.0 Introduction This section aims to state the background, history and the location of Ayrshire Mine. While also giving an overview of the process. The chapter provides the problem statement, the justification of the proposed solution and the aim of the project 1.0.1 History and location of Ayrshire Mine Figure 1Location of Ayrshire Mine Ayrshire mine is situated in Mashonaland West province, approximately 30 km northeast of banket town and about 105km from Harare, the capital city of Zimbabwe. It is located within the Chinhoyi Guruve greenstone belt, specifically on the splay of the Eldorado Shear Zone. To reach it on must take a gravel road that branches of the Harare-Chirundu highway (80km peg) and leads through Banket, Covering roughly 25km . Ayrshire Mine’s story stretches back to the early colonial gold rush in what is now Mashonaland West. Claims were pegged in the 1890s over extensive ancient surface workings on the Maquadzi River, with regular production beginning in 1899 and the Edward’s (Edwards) Shaft sunk in 1901, then the deepest in the country. The mine became something of a byword for the era’s speculative booms and busts in London, and—despite heavy early investment—was shuttered in 1909 as debts mounted. In the modern era the operation was revived and Pan African Mining (Pvt) Ltd took over Ayrshire in 1987, returning it to sustained production; today it operates an area reported at ~797 1 hectares, and continues to work both underground and surface resources from a historic mineralized corridor of roughly 9 km. Publicly reported site data from a 2021 government/media tour give a clear snapshot of Ayrshire’s scale and trajectory. Management briefed authorities that the mine was increasing milled ore from ~12,500 tonnes per month to ~25,000 tpm, with a gold output uplift from ~32 kg to ~47–50 kg per month as projects came on stream. Earlier, during a 2014 performance update, the operator also disclosed that monthly production had risen from ~5 kg to ~20 kg at one stage, showing how output has been ramped in phases over the last decade. Those figures provide the best public yardsticks for monthly ore tonnage and gold production at Ayrshire. Investment has been periodic and targeted at life-extension and reliability. In 2014, Pan African Mining said it had injected US$11.5 million across its operations, including Ayrshire, to stabilise and lift output. A subsequent 2021 site briefing detailed a fresh ~US$19 million program focused on exploration, shaft deepening by ~800 m, plant upgrades, tailings disposal, and open-pit expansion to support the higher 25 kt/month milling target and keep ounces flowing. These steps fit the mine’s long-term pattern: extend underground access and hoisting capacity while adding selective surface tonnes for steady plant feed. The same 2021 visit reported “over 400 workers” on site and noted active housing expansion— 100 additional houses under construction—to accommodate a growing staff complement. Because the workforce outpaced on-site housing at the time, the company was also accommodating some employees at its sister Muriel Mine (about 52 km east), while pursuing community support initiatives such as borehole drilling. Earlier press from the 2000s shows that employment levels have fluctuated with market cycles (one 2007 report referenced restructuring that could affect up to ~600 jobs), underscoring why housing and community facilities are typically built in phases. Ayrshire presents itself as a safety-forward operation: by 2021 it was credited with millions of fatality-free shifts and only a handful of recordable injuries annually since 2013, while also being integrated into national mine-rescue capacity—Pan African Mines’ rescue team for the northern region was formally commissioned by the Mine Rescue Association of Zimbabwe in 2025. Public sources do not list formal ISO certifications for Ayrshire (e.g., ISO 45001/14001/9001 or ISO 17025 for labs), so it’s best to describe the site as operating an integrated SHEQ system aligned with Zimbabwe’s legal standards and sector best practice, with active emergency preparedness, ventilation and ground-control engineering underground, regulated blasting and dewatering in surface areas, and environmental controls around tailings and water. If you need a citation-ready claim about specific certifications, that would require direct company documentation. The mine acquires its ore from open pit mines and an underground mine of which all of the samples are processed, monitored and analyzed by the laboratory. This is all in an effort to make sure that a high recovery rate of the valuable mineral is achieved. In addition to these locations the plant also monitors the various aspects of the plant including the grade of all the following areas Thickener, Cyclone, Adsorption tanks and the Leach tanks. 1.1 Mining methods practiced by Ayrshire Mine Open-cast (surface) mining at Ayrshire. Ayrshire has long had surface workings—historically recorded as ancient open-pit workings that pre-date modern operations—and, in recent years, has 2 evaluated additional near-surface potential with geochemical sampling, trenching and open-pit studies alongside the existing underground mine. In practical terms, open-cast gold production at Ayrshire would follow the classic bench mining cycle: resource models from Technical Services guide grade control drilling along advancing pit ramps; blasts are designed for both fragmentation and dilution control; hydraulic shovels or front-end loaders load ore into haul trucks for direct tipping to run-of-mine pads or the crusher, while waste is sent to engineered dumps with stormwater controls. Because the deposit sits in a seasonally wet climate, pit dewatering (sumps, in-pit pumps, and perimeter drains) and haul-road maintenance are significant routine tasks, as are wall monitoring and slope management (batter/berm geometry, catch berm cleaning, prism or radar checks) to maintain geotechnical stability. SHEQ oversight is highly visible in the pit: blast clearance, fly-rock exclusion, dust and noise controls, and concurrent rehabilitation on inactive flanks. Operationally, open-cast tonnes help the plant maintain steady feed when underground stopes are constrained, but require tight short-interval control from geology and grade control to avoid sending low-grade or oxidized material that may underperform in the plant. Public sources do not list specific, named modern open pits at Ayrshire (internal pit names are usually sitespecific), but the mine’s “ancient open-pit workings” are explicitly noted in the historical record, and recent press has referred to ongoing trenching and open-pit development work at Ayrshire. Underground mining at Ayrshire. Underground production is the backbone of Ayrshire and has been for more than a century. Historically, the mine sank the Edward’s Shaft (Edwards Shaft) in 1901—then the deepest in the country—and modern operations continue to exploit the orebody at depth, with press accounts describing travel down a ~600 m mineshaft. A typical shift underground starts with travel down the shaft to working levels, followed by drilling (production and development) on designed rings or faces, charging under strict explosives control, blasting on the night shift, and post-blast re-entry for loading. Broken ore is mucked by LHDs or loaders to ore passes or directly to level tips, then hoisted up the shaft for delivery to the plant. Ground control is critical: rock-mechanics engineers specify support (resin bolts, mesh, straps, shotcrete) and monitor seismicity, while ventilation teams maintain airflow with raises, auxiliary fans, and regulators to keep air quality and temperature within limits. Pumping systems handle groundwater inflows to keep levels dry, and electrical/mechanical maintenance keeps hoisting, winder brakes, crushers, compressors, and refuge chambers in compliance. Grade control sampling (face chips, channel samples, on-reef development) feeds back to planning to minimize dilution and keep stope panels in the highest-margin blocks. From a site-naming standpoint, Edward’s (Edwards) Shaft is the documented underground working associated with Ayrshire; production is organized by levels and stopping panels off that shaft system. 1.2 Geological and Mineralogical Setup Ayrshire mine is on the edge of an old greenstone belt in Zimbabwe, close to a granite body. The gold is mostly in diorite rock. Around it is schists (soft, altered rocks) and a big quartz dyke along an ENE faultline. There are two main gold zones, each are shaped like steep pipes/shoots that go down into the ground into the ground plunging NNE/ENE. The gold is spread out in the diorite (this is however the of a low grade disseminate). The best gold is located in silicified shear zones (zones of broken altered rock with added silica and chlorite). The rocks are altered by chlorite, biotite, talc and silica. The formation of these gold deposits can be tied back to the movement along the ENE fault and the cooling of the nearby granite creating a space for fluids, which carried gold into diorite and shear zones. In short Ayrshire Mine is a granite border, diorite-hosted gold deposit with two steep gold shoots controlled by ENE shears and strong alteration (alteration 3 referring to the chemical change of the original rock when hot fluids pass through it. The fluids come from magma or deep circulation of water. These carry heat, silica and other chemicals. When they move through cracks or shear zones, they replace or change the original minerals in the rock.) 1.3 Background of study As a core pillar of Ayrshire mine. The Ayrshire Mine assay laboratory is in charge of analyzing various samples that come from multiple areas of the mine including but not limited to the underground shaft, the pit, exploration samples and among the most important are the plant samples. The plant samples include leach tank samples, thickener samples, cyclone samples and the core focus of this study the carbon samples. The carbon samples are used to determine how much gold has successfully been adsorbed by the activated carbon. This can be used in calculations that determine the gold content and carbon activity. This is critical for monitoring the efficiency of gold recovery, scheduling elution, maintaining carbon quality and reducing gold losses. The laboratory at Ayrshire Mine is ISO 45001 certified meaning that it conforms to the requirement that harm coming from work practices during working hours shall be eliminated, so as to maintain the occupational health and safety of workers in pristine condition. For this reason, this study set out to introduce an alternative to carbon sample digestion using perchloric acid as a way to eliminate the threat of harm coming from the potentially explosive reagent. This of course would be the introduction of the dry carbon ashing method. This method burns away the carbon in the presence of oxygen at high temperature to eliminate the carbon as carbon dioxide. This would bypass the need to use the hazardous perchloric acid. There by leaving behind the adsorbed gold in ash, while keeping the workers safe and showing conformance to the standard that is ISO 45001. 1.3.1 By implementing the dry carbon ashing method, the Ayrshire Mine laboratory would achieve the following: 1. Conformance with ISO 45001: this standard requires that the occupational health and safety of workers be prioritized over all other things including productivity. The safety of workers shall not be compromised as a way to speed up turnover time. Eliminating the risk of explosions at the laboratory will improve the safety aspect of the working conditions and will also increase worker morale as another potential source of harm will be removed. 2. Increased safety: the reagent known as perchloric acid that is currently being used in the digestion process is very hazardous as it can explode upon contact with a hot surface and organic matter. Even in a controlled environment where the likelihood of occurrence is very low the consequence of the explosion itself can still have fatal implications. So, eliminating the hazard and instead use the alternative method of dry ashing would increase safety 3. Complete removal of carbon: dry ashing just like perchloric acid digestion also completely removes carbon from the samples to leave behind the inert valuable metal as it does not volatize into a gas. The adsorbed gold remains behind in the ash so that it can be dissolved in acids like nitric acid, hydrochloric acid and aqua regia. This makes it a viable replacement for the problematic perchloric acid. 4. Enabling for bulk sampling: The current setup for digestion of carbon samples on the hot plate has restrictions such as the small physical space that the conical flask can fit on, at most it would be 15 flasks. There is also the restriction of the time allocated for carbon 4 digestion as solid samples will also need to be digested on the hot plate within the time frame of one shift. this limits the number of carbon samples that can be analyzed per shift. The introduction of a muffle furnace would increase the amount of carbon samples that can be analyzed per shift as it can accommodate more carbon samples and take some of the work load away from the hot plate. 5 1.3.2 Structure of the organization The following is a diagram showing the structure of Ayrshire Mine’s management owner/ directors Board CEO Mine manager Human resources manager Technical services manager Engineering manager Sheq manager Finance manager Security Chief training and development superintendent Chief Geologist Mechanical superintendent Safety superintendant Chief accountant Security superintendent Mine captain Payroll and admin superintendent Chief assayer Electrical superintended Health superintendent Procurement superintendant Invetsigations Officer Ventilation officer Community relations manager Chief Surveyor Civil works superintendent Environment superintendent Store manager Surveillance Supervisor Rock mechanics engineer Industrial relations managr Mine Planning Superintendent Transport manager Quality officer Budgeting manager Underground Manager Support services supervisor Stores superintendent Figure 2Organogram of Ayrshire Mine 6 1.3.3 The different departments at Ayrshire mine . Mining Department The mining department is the heart of Ayrshire Mine because it is directly responsible for extracting gold-bearing ore from underground stopes and shafts. Its functions include drilling, blasting, loading, hauling, and hoisting ore to the surface. This department ensures that production targets are met safely and efficiently, while maintaining proper ground control and ventilation systems. The mining department’s performance directly affects the mine’s gold output, revenue, and long-term viability, making it the most critical driver of the operation. Human Resources Department (HR) The human resources department manages the workforce that keeps Ayrshire Mine operational. It oversees recruitment, training, payroll, industrial relations, and employee welfare. HR ensures that the mine has the right number of skilled employees in every department and also handles negotiations with trade unions and compliance with labor laws. At Ayrshire Mine, HR affects productivity by maintaining worker morale, reducing disputes, and ensuring that employees are motivated, trained, and safe to carry out their duties. Technical Services Department The technical services department provides the scientific and planning backbone of the mine. It houses geology, surveying, mine planning, and the laboratory. Geologists identify ore zones and guide mining crews, while surveyors and planners design stopes and track ore extraction. The laboratory provides grade control through assaying, ensuring ore sent to the plant is of the expected quality. At Ayrshire Mine, this department directly impacts efficiency by optimizing ore extraction, reducing dilution, and supporting long-term planning of reserves. Engineering Department The engineering department is responsible for the maintenance and operation of all mechanical, electrical, and civil infrastructure at Ayrshire Mine. This includes winding engines, shaft systems, pumps, ventilation fans, vehicles, and processing plant equipment. By ensuring equipment reliability and availability, the engineering department minimizes downtime and prevents costly breakdowns. At Ayrshire, its work is vital to safe operations, uninterrupted production, and the reduction of operational costs. SHEQ Department (Safety, Health, Environment, Quality) The SHEQ department ensures that Ayrshire Mine operates responsibly and safely. It manages workplace safety, occupational health, environmental protection, and compliance with ISO standards. This department reduces accidents, monitors dust and noise level, enforces PPE use, 7 and ensures environmental compliance in tailings and water management. By maintaining high SHEQ standards, Ayrshire Mine builds community trust, protects its workforce, and avoids costly penalties or shutdowns due to regulatory breaches. Finance Department The finance department manages the financial health of Ayrshire Mine by controlling budgets, accounts, and cash flows. It ensures that mining, engineering, and technical departments are properly funded, while keeping costs within budget. It also handles procurement and financial reporting. Finance affects Ayrshire’s activities by ensuring that the mine can purchase critical supplies, pay employees, and invest in new projects or equipment, all of which directly influence profitability and sustainability. Security Department Security plays a particularly critical role in a gold mine like Ayrshire due to the high value and theft risk of gold. The security department safeguards people, property, explosives, and the product itself from theft, smuggling, and sabotage. It operates access control, patrols, CCTV monitoring, and investigations. Security affects the mine’s activities by maintaining integrity of operations, ensuring employees feel safe, and protecting gold from illegal loss, which directly preserves the mine’s revenue. Stores / Supply Chain Department The stores department manages the procurement, storage, and distribution of consumables, spare parts, tools, and protective equipment. This department ensures that mining crews, plant operators, and engineers have the necessary resources when needed. At Ayrshire Mine, efficient stores management reduces downtime, prevents stockouts of critical materials like explosives or reagents, and controls costs by avoiding excess inventory. Its efficiency directly supports the smooth running of all other departments. 8 1.3.4 Process overview of Ayrshire Mine Assay Laboratory. Sample receiving Sample logging solution samples Solid Carbon samples Solid samples solution sample analysis Carbon samples drying Temporary solid sample storage Carbon samples weighing Solid Sample drying Carbon sample storage Solid Sample crushing Carbon samples digestion Solid Sample pulverizing Carbon samples analysis Solid sample weighing Solid sample storage Solid sample digestion Solid sample collection Solid sample analysis sample Figure 3 Process overview for Ayrshire Mine 9 1.3.5 Ayrshire Mine Mission statement Ayrshire Mine under Pan African Mining has the objective of increase the growth of its resources and enhancing its operations, Through investment in exploration, mine shaft deepening and plant upgrades. This will be done while ensuring the highest degree of safety in order to avoid injuries and fatalities. In order to carry out these objectives and also ensure the environment and community is taken care of, Ayrshire mine will continue to conform to its IMS Policy which includes ISO 45001, ISO 14001 and ISO 9001. 1.3.6 Vision Mining for a future (reflecting the mine’s commitment to responsible, sustainable and efficient gold mining, alongside community and environmental stewardship.) 1.3.7 Core Values of Ayrshire Mine ο· Safety and zero Harm ο· Responsible and sustainable mining ο· Community engagement and development ο· Ethics, integrity and good governance ο· Innovation, entrepreneurial spirit and efficiency ο· Valu creating growth and financial discipline ο· Talent, respect and people development 1.3.8 Policies Ayrshire Mine conforms to: ISO 45001- This standard stipulates the occupational health and safety of workers whilst they are conducting work related task shall be the upmost priority. This means that zero harm must come to the workers. Which can be achieved through the implementation of safety controls around hazardous processes, activities, services and products. ISO 14001-Ayrshire Mine also wishes to conform to the standard of environmental management. This means reducing the negative effect that the mine has towards the environment. This can be brought about through continual improvement of waste disposal methods, reducing emission, staff training, investing in new technologies that better conform to environmental upkeep and hosting programs for the rejuvenation of the environment. ISO 9001- This standard demands that Ayrshire Mine’s processes, products, activities and services be of a consistently high quality at all times. This means that everything is scrutinized for defects through the implementation of quality control measure so as to achieve quality assurance. This is done to make sure that all of the needs of stakeholders are met and everything is working the way it was meant to work. ISO 17025- This ensures that all the equipment at Ayrshire mine is properly maintained and calibrated regularly to ensure accurate products and increase the longevity of equipment. This is to be documented and recorded. As a way to track whether or not everything is in order 10 1.4 Problem statement The use of perchloric acid has become common place at Ayrshire mine. It is a viable reagent that is used to dissolve and expel the volatile carbon as carbon dioxide. The reagent itself however is highly combustible as it is prone to explosion when exposed to a bare hot surface. This exposes the workers to constant threat of explosion which can most definitely cause harm. This would mean that the company would have unable to conform to its policy of occupational health and safety ISO 45001 leading to a loss of positive reputation and money lost due to compensation of the affected worker and fines paid to relevant third-party bodies. The price for cheap perchloric acid that is 70% strong is $54-$66 per 500ml and the minimum order quantity is 10 bottles which means each batch is just under $660. Within a day of work which consist of the morning, afternoon and evening shift over 250ml is used. This means that each day Ayrshire Mine’s Assay laboratory uses $27-$33worth of perchloric acid and within the course of the year of which the laboratory works every day without fail. There is a chance of saving $9 855-$12 045 every year 1.4.1 Justification If the project is implemented and it is observed that carbon ashing can be a viable replacement for the use of perchloric acid in the dissolution and expulsion of carbon to leave behind gold. Then the threat of freak explosions that cause harm to employees can be alleviated and in part this would increase Ayrshires mines conformance toward ISO 45001 which stipulates that workers must not be harmed at work whilst they are on the job. In part this would increase the worker motivation to carry out task as a potential risk of suffering harm from explosion has been eliminated 1.4.2 Aim To observe the viability dry carbon ashing as opposed to acid digestion using perchloric acid in order to promote safety while producing substantial results 1.4.3 Objectives: 1. Compare assay results for dry ashing and acid digestion (using perchloric acid). 2. Evaluate safety profile of each method, with thorough analysis of perchloric risk where applicable 3. Provide method recommendation based on overall suitability 4. Compare time and energy per batch 5. Assess cost of reagents and equipment needs. 11 Chapter 2 2.1 Introduction A literature review is a structured summary, analysis and synthesis of existing research, publications and knowledge on a specific topic. It connects, compares and critiques the existing work to shade light on what is already known, the gaps or problems that are currently there and how this study will build upon what already exists The literature review of this study is concerned with issues concerning the scientific and operational basis abandoning the use of perchloric acid (HCLO4) digestion, which is used to dissolve carbon and expel it as carbon dioxide and replacing it with dry carbon ashing which involve thermal oxidation in a furnace. This review will cover mechanisms, terminology. Instrumentation, method design, matrix effects, safety, environmental and economic considerations, validation strategy and quality control. This information will be useful in the justification and defense of the substitution in the context of the Ayrshire Mine laboratory 2.2 Definitions and terminology Carbon: carbon is a chemical element with the symbol C and the atomic number 6, it has an atomic mass of approximately 12.01 g/mol, a valency of 4 (can form up to four covalent bonds) and it has the electronic configuration of 1s22s22p2 when it is in its ground state Activated carbon: this is a form of carbon that has been processed to have an extremely high surface area and porosity. This makes it very effective in absorbing and trapping molecules like gold in the case of Ayrshire Mine. This material is usually produced from carbon rich materials such as wood, coconut shell, coal or peat. These materials can be heated in the absence of air to drive of volatile compounds leaving behind mostly carbon. The heated material is then treated with steam, hot air or chemicals at high temperatures. This develops a huge network of pores giving it’s a very high surface area (500-2000 m2 per gram) Carbon removal: This the conversion of carbon with in analytes into carbon dioxide as a way to expel it and leave behind valuable metal effectively eliminating a preg-robbing aspect of the analyte. In this case leaving behind adsorbed gold for analyses by the AAS machine at the Ayrshire Mine Laboratory. Preg robbing: when carbon absorbs and holds onto the gold from a leach solution instead of allowing it to stay in the solution which decreases the amount of observable gold in the analyte solution Digestion: Chemical decomposition of analytes with acids at atmospheric pressure to covert them into liquids that can be analyzed by the AAS machine Perchloric acid (HCLO4): A very strong acid and oxidizer. When it has a high concentration and temperature it can rapidly oxides organic matter but it carries a significant risk of exploding Oxidation: This is the loss of electrons. This caused by an oxidizer which take electrons, examples of these are Oxygen. Perchloric acid, Nitric acid and chlorine. Oxidation can be detected by observable changes like evolution of gas like CO2 and O2, color changes, forming of precipitates and change in smell. 12 Dry ashing: this is the use of a furnace at temperatures ranging between 450-650 Cin the presence of oxidation as a way to burn away the carbonaceous material as carbon dioxide leaving behind the valuable metal in ash LOI (Loss on ignition): this is the mass lost due to the heating process. it accounts for moisture, organics and carbon dioxide that was expelled from the sample. Ash content: the residue left after the analyte has been incinerated Low temperature ashing LTA: Oxidation of organics in an oxygen plasma (100-300) C TOC/TC/TIC: Total organic carbon. Total carbon, total inorganic carbon Shrinking core model: Kinetic model where oxidation progresses from the particle’s exterior going into its interior. Ashing aids: these are reagents that an be added to the analyte before the ashing process in order to help retain other target minerals which may be volatile to act as non-volatile species to avoid their loss. Matrix effects: interference from the sample that bias the analyte recovery or readings CRM: Certified reference material. these are premade analytes with definite assay values that can be used to cross check of the AAS machine is calibrated correctly. This can be used to detect whether the readings of the other analyte are accurate Trueness: the degree to which a claim is true or is free of bias Precision: this is the ability to get the same result consistently when carrying out the same test numerous times. Linearity: this refers to how well an analytical methods response signal is directly proportional to the concentration of the analyte over a specified range. Ruggedness / Robustness: the ability of an assay method to stay unaffected by small variation in experimental conditions for example when using different operators or laboratories Selectivity: This is the ability of the AAS machine to measure only the target mineral even in the presence of other substances (Interferants). For example, the AAS machine should be able to detect gold without interference from copper, iron, or carbon in the sample Measurement Uncertainty: this is the quantitative estimates of the doubt associated with a measurement. No analytical method gives an exact value there is always a range within which the true value lies, for example a gold assay may report 4.91 +/- 0.05 g/t meaning that the actual value is between 4.86-4.96 g/t. 2.3 Dry carbon ashing method Dry carbon ashing is a laboratory technique widely used in metallurgical and analytical processes for the preparation of samples. The method is designed to remove organic or carbonaceous matter from ores, concentrates, residues, soils, or other laboratory materials. It achieves this through the controlled heating of the sample in the presence of air or oxygen, until all organic components are oxidized and expelled as gases. What remains is an inorganic "ash" that contains the metallic or 13 mineral constituents of interest. This technique is particularly important in situations where organic material interferes with subsequent chemical analysis, such as in gold ores that contain carbonaceous matter, or in metallurgical residues contaminated with oils and greases. The principle of the method is based on the oxidation of organic matter. Organic compounds, which are largely composed of carbon, hydrogen, oxygen, nitrogen, and sometimes sulfur, are susceptible to decomposition when subjected to elevated temperatures in the presence of oxygen. As the sample is heated, the carbon is oxidized to carbon dioxide, hydrogen is converted into water vapour, nitrogen forms oxides of nitrogen, and sulfur is converted to sulfur dioxide. These gaseous products are released into the atmosphere of the furnace, leaving behind only the non-volatile inorganic residue. The inorganic portion typically consists of oxides, sulfates, and silicates, which remain stable at the chosen ashing temperatures of 450 to 650 °C. The general procedure for dry carbon ashing begins with weighing a known mass of the sample into a clean crucible, usually made of porcelain, quartz, or platinum depending on the temperature and element sensitivity. The sample is first dried at a lower temperature, typically between 105 and 120 °C, to remove any moisture that may cause spattering during high-temperature heating. It is then gradually heated in a muffle furnace to avoid sudden ignition of volatile matter. Once the temperature reaches the ashing range, the furnace is maintained for several hours to ensure complete oxidation of organic matter. After ashing, the crucible is cooled in a desiccator to prevent moisture absorption and is then either reweighed to determine ash content or prepared for subsequent instrumental analysis, such as X-ray fluorescence (XRF), inductively coupled plasma (ICP), or atomic absorption spectroscopy (AAS). Dry carbon ashing has numerous applications in the metallurgical field. In gold processing laboratories, it is often used to treat carbonaceous ores that exhibit “preg-robbing” behavior, where natural carbon in the ore adsorbs dissolved gold during leaching and interferes with extraction. By removing the carbon through ashing, more accurate assay results can be obtained. The method is also applied in the analysis of coal and coke, where it helps determine fixed carbon and volatile matter. Additionally, environmental and geochemical laboratories use ashing to prepare plant, soil, or effluent samples for the determination of heavy metals. In many cases, dry ashing provides an effective alternative to wet acid digestion, particularly where the use of strong acids such as perchloric acid poses safety risks. Like any laboratory technique, dry carbon ashing has advantages and limitations. One major advantage is that it does not require hazardous acids, making it safer and more environmentally friendly compared to acid digestion methods. The equipment needed is relatively simple, consisting mainly of a furnace and crucibles, and it can process many samples at once. Moreover, it produces a clean and stable inorganic residue suitable for chemical and instrumental analysis. However, the method has drawbacks, such as the potential volatilization of certain elements during heating. Elements like lead, mercury, arsenic, selenium, and cadmium can be lost as volatile compounds, resulting in underestimation of their concentrations. The process is also timeconsuming, often requiring several hours to complete, and care must be taken to avoid contamination from crucibles or furnace walls. In conclusion, dry carbon ashing is a thermal oxidation process used to remove organic material from samples in metallurgical and analytical laboratories. By producing a clean, inorganic residue, the technique facilitates accurate determination of metals and minerals, and is a safer alternative to wet acid digestion methods. Despite its limitations, such as possible volatilization losses and 14 lengthy processing times, dry ashing remains an essential sample preparation tool in metallurgy, mineral processing, environmental studies, and fuel analysis. Its continued use highlights the importance of reliable and safe methods for preparing samples prior to chemical examination 2.4 Perchloric Acid Digestion of Carbon Perchloric acid digestion is an important sample preparation technique in metallurgical, mineral, and analytical laboratories. It is primarily used for the removal of carbonaceous material and other organic matter from ore samples, residues, or metallurgical products. This is particularly relevant when dealing with carbon-rich samples such as preg-robbing gold ores, activated carbon residues, coal by-products, or organic-contaminated concentrates. By digesting the organic material with perchloric acid, a clean inorganic solution or residue is obtained that can then be analyzed for metallic or mineral constituents. The principle of perchloric acid digestion relies on the powerful oxidizing properties of perchloric acid (HClOβ). When heated under controlled laboratory conditions, perchloric acid acts as a strong oxidizer, capable of breaking down the stable bonds in organic compounds. The carbon present in the sample is oxidized to carbon dioxide gas (COβ), while hydrogen is oxidized to water (HβO). The process leaves behind the inorganic matrix, often in the form of soluble salts, which can then be dissolved and analyzed by techniques such as atomic absorption spectroscopy (AAS), inductively coupled plasma (ICP), or colorimetric methods. The strength of perchloric acid makes it especially suitable for samples that contain stubborn or refractory organic matter that is difficult to remove using other acids. The digestion process is typically carried out by weighing a small but representative amount of the sample into a beaker or digestion flask. Concentrated perchloric acid is added, often in combination with other acids such as nitric acid or sulfuric acid to initiate oxidation. The mixture is then heated, usually on a hotplate or in a digestion block, under a fume hood specifically designed for perchloric acid work. As heating progresses, the acid oxidizes the organic content, producing fumes and effervescence as carbon is converted into gaseous carbon dioxide. The digestion continues until the organic material has been completely destroyed, leaving behind a clear or nearly clear solution of inorganic material. This solution is cooled, diluted, and prepared for further analytical procedures. Perchloric acid digestion of carbon is highly valued in analytical gold metallurgy. Certain gold ores contain naturally occurring carbon that adsorbs dissolved gold ions from cyanide solutions, a phenomenon known as “preg-robbing.” In order to accurately assess the gold content of such ores, the carbon must first be destroyed. Perchloric acid digestion provides a reliable means to eliminate the carbonaceous matter, ensuring that the gold can be properly measured in subsequent assays or leaching tests. Similarly, the method is applied in environmental laboratories to destroy organic matter in soils, sediments, and plant samples before measuring trace metals. In coal and coke analysis, perchloric acid digestion is used to prepare ash-free solutions for the determination of mineral impurities. Despite its effectiveness, perchloric acid digestion has significant safety risks and limitations. Concentrated perchloric acid is extremely corrosive and one of the strongest oxidizing acids available in the laboratory. When heated, it can react violently with organic material, creating the risk of explosions if not properly controlled. It also has the potential to form explosive perchlorate salts when it comes into contact with metals or organic residues in the fume hood. For this reason, 15 perchloric acid work must be conducted in specially designed fume hoods equipped with washdown systems to prevent the buildup of hazardous deposits. Additionally, the use of perchloric acid may volatilize certain sensitive elements such as mercury, selenium, or arsenic, leading to analytical losses. The technique is also labor-intensive and requires strict adherence to safety procedures, making it less attractive than alternative methods such as dry ashing for routine work. The advantages of perchloric acid digestion are, however, substantial. It provides rapid and complete oxidation of carbonaceous matter, even in refractory or highly resistant samples. It allows accurate analysis of metals without interference from organic compounds and is particularly effective in breaking down complex matrices where other acid mixtures may fail. This makes it a highly reliable method in specialized metallurgical and geochemical laboratories. In conclusion, perchloric acid digestion of carbon is a powerful wet oxidation technique used to destroy carbonaceous and organic material in samples. It is based on the strong oxidizing power of perchloric acid, which converts carbon to carbon dioxide and leaves behind inorganic residues suitable for chemical analysis. The method is widely applied in gold assay laboratories, environmental analysis, and fuel characterization, where organic interference must be eliminated. Although it carries significant safety hazards and requires specialized equipment, its effectiveness in completely oxidizing stubborn carbonaceous matter ensures that it remains an important method in advanced metallurgical and analytical laboratories. 2.5 Why replace perchloric acid? Safety and compliance ο· Acute risk: Hot HClOβ reacts violently with organics; residues (perchlorates) can form shock-sensitive crystals in fume hoods. This can lead to explosions which will affect the safety of nearby workers and cause the damage of facilities at the Ayrshire mine laboratory. On top of causing life threatening injury to personnel, the explosions also result in the loss of money due to paying hospital fees, paid leave for affected worker, fines for nonconformance to third party accreditation boards, equipment replacement and lost time expenses. ο· Infrastructure: Requires dedicated perchloric acid fume hood with wash-down; strict housekeeping and segregation protocols. These are specilised equipment that have a network of tubes and a suction fan. The network forms a tube that goes upward out and away from the laboratory, while there is a motor and fan that provides suction to take away the toxic fumes produced during the digestion of carbon using perchloric acid. The fume hood has its own expense of electricity and regular maintenance of belts, the motor and fan blades ο· Incident history: Well-documented lab fires/explosions from improper use or dried residues. For example, at the University of Minnesota a person following a literature prep, was heating in an Erlenmeyer flask a dilute water solution of a roughly 0.700 g of organic compound with about 1 mL of 70% perchloric acid. Over time all the acidic solution evaporated, leaving behind perchlorate salts which are shock and heat sensitive explosives. Because it was left unattended, there was an explosion in the hood soon afterwards. The ceramic of the hot plate had shattered and was irreparably damaged. No irreparable damage to the Schlenk line was caused possibly because of the shape of the filtration flask which caused the explosion to be lateral or horizontal. 16 There was one person near that hood but not in direct path, and they suffered from ringing in the ear and immediately left. DEHS was immediately informed, and they performed the perchlorate test in the hood the next day, which came out negative because all perchlorate salt had exploded. 1. Waste: Perchlorate in waste streams is persistent and regulated in many jurisdictions. Perchloric acid is a very strong oxidizer. In carbon digestions, it oxidizes organic carbon to COβ and HβO. If excess perchloric acid remains after digestion, it doesn’t necessarily decompose — it can persist as ClOββ» (perchlorate ion) in the solution. Perchlorates are persistent environmental contaminants. They can interfere with thyroid function in humans and animals by inhibiting iodine uptake. That’s why labs using perchloric acid often require specialized fume hoods with wash-down systems and controlled waste disposal routes. Operational and analytical drivers ο· Throughput bottlenecks from stringent HClOβ handling protocols. Throughput bottlenecks often arise in laboratories and metallurgical facilities due to the stringent safety protocols required when handling perchloric acid (HClOβ). Because of its highly reactive and explosive nature, particularly in the presence of organic matter or at elevated temperatures, laboratories must use specially designed perchloric acid fume hoods with wash-down systems, non-combustible ducting, and strict segregation from other chemicals. These requirements significantly slow down the pace of operations, as staff must spend considerable time preparing work areas, conducting pre-use safety checks, and carrying out extensive clean-up procedures after each digestion. In addition, scheduling constraints can occur since only trained personnel are permitted to handle the acid, and the limited availability of compliant facilities further reduces flexibility. Together, these measures— while essential for safety—introduce unavoidable delays and reduce the overall throughput of digestion processes, making perchloric acid–based methods less efficient compared to alternative approaches. ο· Compatibility: Perchlorate residues may interfere with some analytical steps and spike ionic strength. Perchlorate residues left over from perchloric acid digestion can introduce significant complications in subsequent analytical procedures. Because perchlorate is a stable, strongly dissociated anion, it persists in solution and contributes to elevated ionic strength. This increase can disrupt equilibrium-based techniques such as ion exchange chromatography, solvent extraction, or certain spectroscopic methods by altering activity coefficients and reducing separation efficiency. In some cases, perchlorate ions may also directly interfere with the detection of target analytes by competing for reactive sites, forming complexes, or producing background signals that obscure accurate measurements. These effects not only compromise precision and sensitivity but may also necessitate additional sample cleanup or matrix adjustment steps, further extending analysis time and resource use. ο· Cost of compliance: Specialized hood, inspections, training, waste management. Strategic benefits of dry ashing. The cost of compliance when using perchloric acid is considerable, as it extends far beyond the purchase of the reagent itself. Laboratories are required to install and maintain specialized perchloric acid fume hoods equipped with wash-down systems to prevent explosive residue buildup, along with corrosion-resistant ducting and 17 exhaust infrastructure. Regular inspections and certifications are mandated to ensure continued safe operation, adding recurring costs. Furthermore, staff must undergo specialized training in safe handling, spill response, and emergency procedures, which consumes both time and financial resources. Waste streams containing perchlorates also demand specialized treatment or external disposal, significantly raising operational expenses due to the strict environmental regulations governing these contaminants. In contrast, dry ashing provides strategic benefits by bypassing many of these compliance burdens. Since dry ashing relies on controlled furnace combustion rather than highly reactive acids, it eliminates the need for specialized hoods, reduces training intensity, and generates more benign waste streams. This not only lowers direct compliance costs but also improves throughput and flexibility, making it an attractive alternative for laboratories seeking safer, more sustainable, and cost-effective carbon removal methods. ο· Risk reduction: Eliminates most oxidizer-related acute hazards. the cost of compliance when using perchloric acid is considerable, as it extends far beyond the purchase of the reagent itself. Laboratories are required to install and maintain specialized perchloric acid fume hoods equipped with wash-down systems to prevent explosive residue buildup, along with corrosion-resistant ducting and exhaust infrastructure. Regular inspections and certifications are mandated to ensure continued safe operation, adding recurring costs. Furthermore, staff must undergo specialized training in safe handling, spill response, and emergency procedures, which consumes both time and financial resources. Waste streams containing perchlorates also demand specialized treatment or external disposal, significantly raising operational expenses due to the strict environmental regulations governing these contaminants. In contrast, dry ashing provides strategic benefits by bypassing many of these compliance burdens. Since dry ashing relies on controlled furnace combustion rather than highly reactive acids, it eliminates the need for specialized hoods, reduces training intensity, and generates more benign waste streams. This not only lowers direct compliance costs but also improves throughput and flexibility, making it an attractive alternative for laboratories seeking safer, more sustainable, and cost-effective carbon removal methods. ο· Cleaner downstream chemistry: After oxidation, ash can be digested with safer acid combinations (e.g., HNOβ/HCl, HNOβ/HF where needed). Cleaner downstream chemistry is one of the key advantages of using dry ashing instead of perchloric acid digestion. Once the organic carbon is completely oxidized in the furnace, the remaining mineral-rich ash is free of persistent perchlorate residues and can be safely dissolved using milder and more conventional acid systems. Common choices include nitric acid combined with hydrochloric acid (aqua regia) or nitric acid with hydrofluoric acid for silicate-rich matrices. These combinations are widely accepted in analytical protocols, are less hazardous than perchloric acid, and do not require specialized hoods or extreme handling precautions. As a result, the digestion step becomes cleaner, more predictable, and less prone to introducing chemical interferences that complicate instrumental analysis. By working with simpler acid mixtures, laboratories also gain greater flexibility to tailor the digestion chemistry to the sample type, improve recovery of target analytes, and reduce matrix effects during techniques such as ICP-OES, ICP-MS, or AAS. This not only enhances analytical quality but also aligns with safer, more sustainable laboratory practices. 18 ο· Scalable: Batch processing dozens of crucibles per furnace cycle. Scalability is another advantage of dry ashing, as the technique lends itself well to batch processing. Modern muffle furnaces can accommodate dozens of crucibles in a single cycle, allowing many samples to be treated simultaneously under identical conditions. This parallel processing greatly increases throughput compared to perchloric acid digestion, where each sample often requires careful, stepwise handling in specialized hoods, creating a sequential bottleneck. With dry ashing, once the furnace is loaded and the program is set, the process runs largely unattended, freeing up personnel to focus on other tasks. The ability to process large sample batches not only improves efficiency but also enhances consistency, since all samples experience the same controlled temperature and oxidation environment. For commercial or high-volume metallurgical laboratories, this scalability translates into significant time savings, lower labor costs, and improved reproducibility across large analytical runs. 2.6 Ideal carbon condition for dry ashing In analytical and metallurgical laboratories, dry ashing is widely employed as a method for the removal of carbonaceous matter prior to chemical analysis. The procedure relies on heating the carbon sample in a controlled furnace until the organic matter is oxidized to gaseous products, leaving behind a mineral ash residue. For this technique to be effective, the carbon material being treated must possess certain ideal properties that make it suitable for clean, efficient, and reproducible ashing. Firstly, the carbon should exhibit a high degree of purity. Impurities such as residual hydrocarbons, oils, or metallic contaminants can interfere with the oxidation process, leading to incomplete combustion or altered ash composition. A pure carbon sample ensures that the only residue after ashing is the mineral matrix originally bound to the carbon, which improves the accuracy of subsequent chemical determinations. Secondly, the carbon should have a fine and uniform particle size. Finer particles provide a greater surface area for oxidation, allowing oxygen to penetrate and react more efficiently with the material. Uniformity of particle size also ensures that combustion occurs evenly throughout the sample, preventing localized zones of incomplete oxidation or overheating. This contributes to both the reliability and the reproducibility of the ashing process. Another desirable property is low moisture content. Excess water in the sample not only prolongs the time required for ashing but can also cause spattering or losses of sample mass during the heating stage. A dry carbon sample therefore promotes more controlled combustion and prevents contamination or loss of the ash fraction. Thermal stability is also an important consideration. While the ultimate aim of dry ashing is to oxidize the carbon into carbon dioxide, the material should remain stable enough during the initial heating phase to avoid sudden ignition or violent combustion. A controlled burn is critical for laboratory safety as well as for maintaining the integrity of the mineral residues. Additionally, the carbon should have minimal volatile impurities. Substances that volatilize at furnace temperatures may escape with the flue gases, leading to the loss of valuable analytes or contamination of the laboratory environment. Ideal carbon therefore burns completely to carbon dioxide without introducing secondary vapors that might complicate the analysis. 19 Lastly, the ash content of the carbon should be low but consistent. Excessive ash introduces unnecessary background material, which can obscure trace elements of interest. However, a predictable and stable ash fraction ensures that the final residue is representative and can be reliably used for further analysis. In conclusion, the ideal carbon for dry ashing is characterized by high purity, fine and uniform particle size, low moisture content, controlled thermal behavior, low volatile impurities, and consistent ash levels. Together, these properties promote efficient combustion, minimize analytical errors, and ensure that the mineral residue obtained is suitable for accurate downstream analysis. 2.7.1 Muffle furnace A muffle furnace is a type of high-temperature laboratory furnace that provides controlled heating in an enclosed chamber where samples are kept isolated from direct contact with flames, gases, or heating elements. Its design ensures uniform distribution of heat, making it suitable for precise thermal processes. In general, a muffle furnace is widely used in laboratories and industries for applications such as ashing, heat treatment, material testing, and thermal analysis. It is often employed to burn off organic matter, determine ash content, carry out calcination, or anneal materials under specific conditions. Because it can reach temperatures ranging from 500 °C to over 1000 °C, it provides a reliable and contamination-free environment for accurate analytical work and preparation of samples for further testing. 2.7.2 The use of a muffle furnace in carbon ashing A muffle furnace is a key piece of equipment in carbon ashing because it provides the high and controlled temperatures necessary to burn off organic carbon from samples without introducing contamination. In the process, solid samples such as ores, carbon-in-pulp residues, catalysts, or carbonaceous geological materials are placed in porcelain, silica, or platinum crucibles, which are then inserted into the furnace chamber. The furnace is usually operated between 500 °C and 650 °C, a range high enough to completely oxidize carbon but low enough to avoid volatilization of important inorganic elements. During ashing, air or oxygen present in the chamber supports the oxidation of carbon, leaving behind only the inorganic or metallic residue. The process is often preceded by careful drying of samples to remove moisture and may be followed by acid digestion for chemical analysis. The muffle furnace’s closed design prevents direct contact between the crucibles and the heating coils, ensuring that results are not affected by combustion gases or impurities. This method is particularly valuable in laboratories where accurate measurement of ash content, sulfur content, or metal values is required, and it allows multiple samples to be processed simultaneously with consistency. 20 Figure 4: Muffle furnace 2.7.3 The uses of the muffle furnace components: ο· Ceramic fiber – Provides thermal insulation, keeps heat inside the chamber, reduces energy loss, and keeps the furnace exterior cooler. ο· Air holes – Allow controlled entry of air/oxygen into the chamber to support combustion and proper oxidation of carbon. ο· Ventilation – Removes smoke, fumes, and volatile gases released during heating for safety and cleanliness. ο· Molded heater – Generates and distributes heat evenly throughout the chamber to maintain stable temperatures. ο· Control panel – Used to set, adjust, and monitor temperature, time, and heating rate for accuracy. ο· Sample – The material placed in crucibles that undergoes ashing or heating to remove carbon or volatile matter. ο· Sensor (thermocouple) – Detects and monitors the chamber temperature, sending signals to regulate furnace conditions precisely. 2.8.1 Hot plate A hotplate is a flat, electrically powered heating device commonly used in chemistry laboratories to provide a clean and controlled source of heat for experiments. Unlike open flames such as Bunsen burners, a hotplate offers uniform heating across its surface, reducing the risk of contamination or ignition of flammable substances. Its intended use in the laboratory includes 21 heating solutions, evaporating solvents, preparing reagents, and maintaining reactions at desired temperatures. Many hotplates are equipped with magnetic stirrers, which allow simultaneous stirring and heating, ensuring that solutions remain homogeneous during chemical processes. Because they provide precise temperature control and a safer alternative to open flames, hotplates are especially useful when working with volatile, combustible, or hazardous chemicals. Their versatility makes them an essential tool for general laboratory heating, sample preparation, and analytical procedures. 2.8.2 The use of a hot plate in carbon digestion In carbon digestion, a hot plate is an essential tool because it provides steady and controlled heating that allows acids to effectively break down carbonaceous material in a safe and efficient manner. During the process, samples containing carbon are treated with strong oxidizing acids such as perchloric, nitric, or sulfuric acid, and the hot plate supplies the heat needed to accelerate the digestion reaction. Unlike open flames, which pose a high risk of igniting volatile acid vapors, the hot plate ensures uniform heating at a controllable temperature, thereby minimizing hazards and preventing sudden violent reactions. The flat surface also allows multiple beakers or digestion vessels to be heated simultaneously, making the process more efficient for batch sample preparation. In addition, when fitted with a magnetic stirrer, the hot plate maintains even mixing of the acid and sample, ensuring complete contact between the reactants and better removal of carbon. By providing controlled conditions, the hot plate helps achieve complete digestion of carbon, leaving a clean solution suitable for further chemical analysis, such as determining metal concentrations in ores or other carbon-bearing materials. This reliability and safety make the hot plate a vital component in laboratory carbon digestion procedures. Figure 5:A hot plate 22 2.8.3 The uses of the hot plate components: ο· LED heat display – Shows the current temperature setting or the actual surface temperature, allowing the user to monitor and control heating accurately. ο· Stirrer on light – Indicates when the magnetic stirrer function is active, ensuring the user knows when solutions are being mixed while heating. ο· Power on green light – Confirms that the hot plate is switched on and receiving power, preventing accidental misuse. ο· Hot warning light – Alerts the user that the hot plate surface is still hot even after switching off, reducing the risk of burns or accidents. ο· Contact thermometer indicator – Displays the temperature feedback from an attached external thermometer or probe, ensuring precise monitoring of the sample’s actual heating conditions. 2.9 Atomic absorption spectrometer An atomic absorption spectrometer (AAS) is a sophisticated analytical instrument used to determine the concentration of specific metal elements in a sample by measuring the absorption of light. The technique is based on the principle that free atoms in the gaseous state can absorb radiation of a particular wavelength, which corresponds to the energy required to excite electrons from one energy level to another. Each element absorbs light at a characteristic wavelength, and by directing light of that wavelength through a vaporized sample, the amount of light absorbed is directly proportional to the concentration of the element present. This makes atomic absorption spectrometry highly valuable in fields such as metallurgy, environmental monitoring, food analysis, medicine, and geology, where accurate trace metal analysis is essential. The make-up of an atomic absorption spectrometer includes several key components, each with a specific role in ensuring accurate and reliable measurements. The light source is typically a hollow cathode lamp or an electrodeless discharge lamp specific to the element being analyzed. This lamp emits light at the exact wavelength characteristic of the element of interest. The atomizer, often a flame or a graphite furnace, converts the sample into free atoms by heating it to high temperatures. In flame atomization, a solution of the sample is aspirated into a flame, while in graphite furnace atomization, a small sample volume is placed in a graphite tube that is electrically heated to vaporize the sample. The monochromator then isolates the precise wavelength of light absorbed by the element of interest, ensuring that only relevant radiation reaches the detector. The detector, usually a photomultiplier tube, measures the intensity of the transmitted light and converts it into an electrical signal, which is proportional to the concentration of the analyte. Finally, the data processing and readout system interprets the electrical signal, displays the results, and allows calibration using standard solutions. In practice, the use of an atomic absorption spectrometer involves preparing the sample, often by digestion with acids to bring metals into solution, and then introducing it into the atomizer. Calibration curves are generated by analyzing standard solutions of known concentration, and the absorbance values of the samples are compared against these curves to determine the metal concentration. AAS is particularly well-suited for trace analysis, capable of detecting elements such as copper, iron, lead, zinc, and nickel at parts-per-million or even parts-per-billion levels. Its 23 accuracy, sensitivity, and specificity make it an indispensable tool in laboratories where precise elemental analysis is required. Overall, the atomic absorption spectrometer is both a powerful and versatile instrument, combining a well-designed make-up of optical, thermal, and electronic systems to deliver accurate results. Its use in carbon digestion, environmental testing, metallurgy, and quality control demonstrates its broad relevance. By providing a reliable means of quantifying metals in complex matrices, the AAS plays a critical role in advancing scientific research, supporting industry, and protecting human health and the environment. Figure 6Ayrshire Mine's Atomic Absorption Spectrometer 24 Figure 7: Schematic diagram of the AAS machine 2.9.2 The uses of the components of an Atomic Absorption Spectrometer (AAS): ο· Hollow cathode lamp – Serves as the light source, emitting radiation at the specific wavelength characteristic of the element being analyzed. ο· Flame – Acts as the atomizer, converting the sample solution into free atoms in the gaseous state so they can absorb light. ο· Slit – Controls and narrows the beam of light to improve resolution and ensure that only the desired wavelength passes through. ο· Slit burner – Provides a long, thin flame that increases the optical path length, improving sensitivity and efficiency of atomization. ο· Mixing chamber – Combines fuel (acetylene), oxidizing gas (usually air or nitrous oxide), and the aspirated sample to form a homogeneous mixture before combustion. ο· Acetylene – Used as the fuel gas to generate the flame hot enough to atomize the sample. ο· Oxidizing gas – Provides oxygen or nitrous oxide to support combustion of acetylene and control the flame’s temperature and characteristics. ο· Aspirator – Draws the liquid sample into the system by suction, allowing it to mix with fuel and oxidizing gas. ο· Nebulizer – Converts the liquid sample into a fine aerosol spray for efficient transport into the flame. 25 ο· Monochromator – Selects and isolates the specific wavelength of light absorbed by the analyte, filtering out unwanted radiation. ο· Photodetector – Measures the intensity of transmitted light after passing through the sample and converts it into an electrical signal. ο· Indicator device – Displays the processed signal, usually as absorbance or concentration, providing the final analytical result. 2.9.2 The use of an Atomic Absorption Spectrometer in the analysis of carbon solutions for gold An Atomic Absorption Spectrometer (AAS) is used in the analysis of carbon solution samples for gold to accurately determine the concentration of dissolved gold in the solution. In gold extraction processes, carbon is often used to adsorb gold from cyanide leach solutions, and after elution, the gold is present in a liquid form. The AAS allows precise measurement of this gold content by atomizing a small portion of the solution—usually in a flame or graphite furnace—and measuring the absorption of light at the wavelength specific to gold atoms. The amount of light absorbed is directly proportional to the gold concentration, enabling accurate quantification even at very low levels. This information is critical in metallurgical laboratories for monitoring gold recovery efficiency, optimizing processing parameters, and ensuring accurate reporting of gold grades from ores or concentrates. Using AAS ensures sensitivity, specificity, and reliability, making it an essential tool in gold analysis from carbon-based recovery systems. 2.9.3 Conclusion The literature highlights the current danger in which the Ayrshire Mine Laboratory is operating under when it comes to the issue of analysis of carbon samples. The current method involves the digestion of carbon using perchloric acid. Perchloric acid is dangerous as when it is not controlled properly it explodes or violently decomposes when it comes into contact with heat, organic material or other combustible substances. This may cause harm to the employees and may lead to equipment failure. Carbon ashing however involves the use of a muffle furnace to burn away the carbon as carbon dioxide leaving the mineral rich ash that can be dissolved using milder acids like aqua regia thereby eliminating the danger that comes from using perchloric acid. The following chapters will contain details on the procedural approach for testing and examining whether or not dry carbon ashing will be an effective replacement for the acid digestion method that uses perchloric acid 26 References Enders, A., Hanley, K., & Lehmann, J. (2012). Comparison of wet-digestion and dry-ashing methods for total elemental analysis of biochar. Communications in Soil Science and Plant Analysis, 43(7), 1042-1052. Shaibur, R. M., & Rahman, M. M. (2019). Comparison of digestion methods for the determination of trace elements and heavy metals in human hair and nails. Journal of Analytical Science and Technology, 10(1), 40. Kalagbor, I. A., & Opusunju, M. A. (2015). A comparison study of dry and wet ashing methods used for the determination of heavy metals in vegetables. Journal of Environmental Chemistry and Ecotoxicology, 7(1), 1-6. Takiyama, K., & Ishii, Y. (1992). Comparison of digestion methods for atomic absorption spectrometric determination of metallic components in foods. Analytical Sciences, 8(3), 419-423. Ahtiainen, R., & Lundström, M. (2019). Preg-robbing of gold in chloride solutions—Effect of antimony. Minerals Engineering, 138, 199-204. Lenahan, W.C., &Murray-Smith, R. de L. (1986). Assay and Analytical Practice in the South African Mining Industry. The South African Institute of Mining and Metallurgy. Gorsuch, J. M. (1982). Evaluation of the Effectiveness of Different Acid Digestion on Sed Liu, Y.h., Wan, B., & Xue, D.-s. (2019). Sample Digestion and Combined Preconcentration Methods for the Determination of Ultra-Low Gold Levels in Rocks. Molecules, 24(9), 1778.iments. Journal of Sedimentary Petrology, 52(2), 563-570. 27 Chapter 3 This chapter gives a detailed description of the safety wear, material and step by step instructions that that the researcher used in the procedures determine whether or not carbon dry ashing is a suitable alternative for acid digestion of carbon using perchloric acid. 3.1 Research Design The study was carried out in an orderly sequence made up of separate phases, that allowed for the removal of carbon from carbon samples using both the dry ashing method and perchloric acid digestion method, subsequently allowing for the accurate analysis of the carbon samples using an AAS machine in order to acquire figures that were essential to the decision-making process. 3.2.1 Carbon samples The researcher obtained the batch of carbon samples that were used in the study from the Ayrshire Mine plant Sample preparation 1. The researcher dried the carbon samples for at least an hour at 100 degrees celsius in the drying oven 2. The researcher then removed foulants from the carbon sample including plant matter and small rock particles 3. The researcher then homogenized the carbon samples to get a better representation of the bulk from the samples 4. Then the researcher organized the carbon samples in a predetermined order of ascending names for better recording and tracking of samples for subsequent processes 3.3 phase 1: Carbon ashing and carbon digestion using perchloric acid 3.3.1 Aim for carbon ashing To remove the carbonaceous material from activated carbon or carbon-in-pulp (CIP/CIL) samples by controlled heating in a muffle furnace, leaving behind a mineral-rich ash suitable for subsequent gold analysis. 3.3.2 Safety / PPE Required ο· Laboratory coat (flame-resistant if available) ο· Heat-resistant gloves (for handling hot crucibles) ο· Safety goggles or face shield ο· Dust mask or respirator (for fine ash and carbon dust) ο· Closed shoes and long trousers 28 3.3.3 Materials and Equipment ο· Carbon sample (loaded carbon) ο· Porcelain, silica, or platinum crucibles (pre-weighed if mass balance is needed) ο· Muffle furnace (programmable preferred) ο· Desiccator (for cooling samples without moisture uptake) ο· Mortar and pestle (for grinding ash after combustion, if required) ο· Tongs and heatproof mat ο· Balance (analytical, for weighing before and after) 3.3.4 Procedure i. The researcher picked out 17 small porcelain crucibles and made sure they were clean ii. Loading iii. ο· The researcher arranged the already dried and homogenized batch carbon samples according to their names from A1-A6 in ascending order. ο· The researcher placed a small crucible in the analytical balance and tared it to 0. ο· The researcher weighed out 1 gram of a carbon standard into the first crucible ο· The researcher then weighed out 1 gram of carbon from A1 into another the crucible ο· The researcher then duplicated the carbon sample for A1 into another crucible ο· The researcher then repeated the weighing and duplicating process for the remaining samples A2-A6 ο· The researcher then inserted a blank sample and its duplicate after sample A3 and sample A6 ο· The researcher then placed the crucibles with the weighed carbon samples into the muffle furnace in ascending order of A1-A6 along with the blank samples ο· The researcher spread the crucibles evenly within the muffle furnace evenly to maximize exposure to air during ashing. Initial Charring ο· The researcher then set the temperature to 200–250 °C and held it for 1–2 hours. ο§ This step charred the carbon slowly, reducing the risk of sparking or loss by rapid combustion. 29 Complete Ashing iv. ο· The researcher then increased the furnace temperature to 550–600 °C. ο· The researcher then maintained this temperature for 4 hours (or until the sample became a stable, light gray to off-white ash). ο· The researcher avoided exceeding 650 °C as it would have introduced problems like crucible damage and the sintering fusing of ash, which would have caused problems in the later digestion of the mineral rich ash. Cooling v. ο· The researcher then switched off the furnace and allowed the crucible to cool slightly inside the furnace to prevent thermal shock. ο· The researcher transferred the crucibles carefully in their ascending order with tongs to a desiccator and allowed them to cool to room temperature. Post-Ash Handling vi. ο· The researcher then dissolved the ash in 20ml of aqua regia in a beaker on top of a hot plate ο· The researcher then removed the samples from the hot plate and left them to cool ο· The researcher then transferred the samples to 100ml volumetric flask and filled the rest of their unused space with distilled water, shook the samples well and took them to the atomic absorption spectrometer for analysis Notes ο· The researcher handled the ash carefully to avoid losses as it was fragile and light. 3.4 Acid digestion of carbon 3.4.1 Aim To oxidatively destroy the carbonaceous matrix (activated carbon / loaded carbon) and bring refractory or adsorbed gold-bearing residues into a form suitable for subsequent gold recovery/assay 3.4.2 Safety measures and equipment ο· Perchloric-acid-rated fume hood with wash-down system (not a general-purpose hood). ο§ Perchloric acid vapors can form explosive perchlorate salts in ductwork; only use a dedicated perchloric hood that is regularly inspected and washed down. ο· Eye/face protection: safety goggles and a face shield when handling concentrated acids or during heating. ο· Acid-resistant lab coat (preferably flame-resistant) and chemical apron. 30 ο· Gloves: use acid-resistant gloves (e.g., nitrile for splash protection plus chemicalresistant outer gloves when handling concentrated acid); change gloves if contaminated. ο· Closed-toe, chemical-resistant footwear and long trousers. ο· Respiratory protection: generally, not a substitute for a proper hood — only use respirator if required by risk assessment. ο· Perchlorate-specific spill kit and neutralizers available nearby; emergency eyewash and safety shower within reach. ο· Explosion-resistant shielding (blast shield) between worker and reaction when heating mixtures with perchloric acid. ο· No organic materials (e.g., paper towels, solvents, unclean glassware with organics) in the hood during operations. ο· Dedicated glassware and tools to avoid formation of perchlorate residues in generaluse equipment. ο· Clear labeling and segregation of perchlorate wastes — do not mix perchlorate wastes with incompatible wastes (e.g., organics, reducing agents, easily oxidizable metals). ο· Training & authorization: only trained personnel following an institutional SOP and local regulations should perform perchloric digestions. 3.4.3 Reagents and equipment ο· Hotplate ο· 250ml conical flask ο· Nitric acid ο· Hydrochloric acid ο· Perchloric acid ο· Volumetric flask ο· Distilled water ο· AAS machine 3.4.4 Procedure for perchloric acid digestion of carbon ο· In the weighing room, the researcher arranged the previously prepared carbon samples in ascending order ο· The researcher started by weighing 0.5 grams of the carbon standard first and placed it in a volumetric flask labelled carbon standard (CBN STD) 31 ο· The researcher then renamed the samples from A1-A6 to B1-B6 following the chronological order, the researcher weighed 0.5 gram of carbon in each 250mls conical flask according to numbers i.e. B1-B6 and make a duplicate of B1. Therefore, the order of flask should be Carbon standard, B1, B1, B2, B3, B4, B5 and B6 ο· The researcher also added blank samples after B3 and B6 ο· The researcher then transported the samples to the digestion room. ο· The researcher switched on the extracting fan and pre-heated the hot plate to temperatures ranging between 105 degrees to 108 degrees. They then poured 20mls of nitric acid (NHO3) in each conical flask and placed the samples on the hot plate. ο· The researcher heated the contents for approximately 5 minutes or until oxidation was complete, that is when no more brown fumes were noticed from the samples and a clear steam like vapour came out. ο· The researcher added 30mls of perchloric acid in each beaker and digested the samples until all the black carbon have been cleared. ο· The samples were completely digested when they showed a clear solution like water and no more fumes were produced. ο· The researcher added 20mls of aqua-regia in each sample and heated the samples for 3045 minutes until all the aqua-regia had cleared once again. (Aqua regia -3parts HCL +1part Nitric acid.) ο· The researcher removed the samples from the hot plate and left them to cool and they filled up the samples in 100mls volumetric flasks using distilled water ο· The researcher shook the samples and collected them to the AAS room for reading. 3.5 Phase 2 Procedure for Developing, Using, and Displaying a Risk Register 3.5.1 Scope ο· Sample preparation of carbon for gold analysis by dry ashing (proposed method) vs. perchloric acid digestion (existing method). ο· objective: the researcher wanted to identify hazards, assess risks, and evaluate whether the replacement improves safety and practicality. 3.5.2 Identify Hazards ο· The researcher listed all potential hazards for both processes (chemical, thermal, mechanical, environment. 32 3.5.3 Describe Consequences ο· For each hazard, the researcher noted what could go wrong for example an explosion from perchloric and organics leading to major injury and lab damage ο· The researcher then categorized the consequences into severity levels for example Minor, Moderate, Major, Severe and Catastrophic 3.5.4 Estimate Likelihood ο· The researcher then judged how often each hazard could realistically occur, for example Rarely, Unlikely, Possibly, Likely and Almost Certainly ο· The researcher used historical data, expert judgment, and published safety guidelines. 3.5.5 Assign Inherent Risk Rating ο· The researcher used a 5×5 risk matrix: o ο· The five-by-five matrix was set to the following parameter ‘Likelihood (1–5) × Consequence (1–5) = Risk Score (1–25).’ The researcher plotted the hazard on the matrix before controls (this was the inherent risk). 3.5.6 Define Controls / Mitigation Measures ο· The researcher defined either engineering, administrative or PPE controls for each hazard. 3.5.7 Assign Residual Risk Rating ο· The researcher reassessed each hazard using the 5×5 matrix after controls. 3.5.8 Populate the Risk Register The researcher made the risk register using these typical columns: | Hazard | Consequence | Likelihood | Inherent Risk (Score) | Controls | Residual Likelihood | Residual Consequence | Residual Risk (Score) | Comments/Notes | 3.5.9 Display the Data ο· The researcher constructed Risk Register Table (as above). ο· 5×5 Risk Matrix Heatmap: ο· The researcher plotted hazards in differing colour codes by score: Green = Low, Yellow = Medium, Red = High, Purple = Extreme ο· The researcher showed both before and after controls for visual comparison. 33 Phase 3 Recommending the carbon ashing method based on overall suitability meaning accuracy, precision repeatability, paired differences, limits of agreement, correlation and linear regression. 3.6.1 Validation calculations Calculation Accuracy for carbon standard, precision, Paired differences, Limits of agreement, Correlation, Linear regression. 3.6.2 Accuracy The researcher used the following formula to calculate Accuracy for carbon standard ππππ π’πππ π£πππ’π π΄πππ’ππππ¦ = ( ) π 100 ππ₯ππππ‘ππ π£πππ’π 3.6.3 Precision Then the researcher used this formula to calculate precision ∑π=π π π ππ ππ = √ π ππ = repeatability standard deviation ppm π π = difference between duplicate measurements π= number of duplicate pairs 3.6.4 Paired Differences. The researcher calculated the paired differences using the following formula π‘= πΜ π π ⁄√π πΜ =mean paired difference π π = sample standard deviation of differences πΜ = ∑(π₯π − π¦π ) π ο·π₯π = result from Method 1 (Ashing) ο· π¦π = result from Method 2 (Perchloric) ο· π = number of paired samples 34 3.6.4 Limits of agreement The researcher calculated the lower and upper limits that the results of assayed samples are supposed to fall in between Lower limit = πΜ – 1.96π π Upper limit =πΜ + 1.96π π 3.6.5 Correlation and linear regression The researcher used the following formulas to determine the correlation of the two methods Pearson π = ∑(π₯π −π₯Μ )(π¦π −π¦Μ ) ∑(π₯π −π₯Μ )2 Intercept π = π¦Μ − ππ₯Μ Slope π = ∑(π₯π −π₯Μ )(π¦π −π¦Μ ) √(π₯π −π₯Μ )2 (π¦π −π¦Μ )2 π₯ =ash men for each sample π¦= perchloric mean for each sample Phase 4 Comparing time and energy 3.7 Measuring Time The researcher recorded the time taken per method using a watch and calculated the energy used during the course of carrying out the method. 3.7.1 Measuring energy To calculate furnace energy usage, the researcher used the following formula Total energy (kWh) = (E warm) + (E soak at 30% duty) E warm = (Furnace power rating) x (Time taken to warm the oven) E soak = (Furnace power rating) x (duty) x (Time taken to ash) In order to calculate the energy usage for the hot plate the researcher used the following formula Energy (kWh) = Power rating x Time taken Phase 5 Procedure for Tracking and Calculating Costs for Perchloric Digestion vs Dry Ashing 35 3.8 Define the Cost Categories The researcher broke the costs down into measurable components: ο· Energy consumption (kWh) ο· Time taken per batch/sample ο· Materials and consumables ο· Maintenance and repairs 3.8.1 Tracking Energy Consumption ο· ο· Hot plate digestion: ο· The researcher took note of the hot plate’s power rating (kW). ο· The researcher then recorded the average run time per digestion (hours), energy used (kWh) = Power rating (kW) × Run time (h) and they multiply by electricity tariff ($/kWh). Muffle furnace ashing: ο· The researcher noted the furnace’s rated power (kW), cycle time per batch (h).Energy used (kWh) = Power rating (kW) × Run time (h). ο· Multiply by electricity tariff ($/kWh). 3.8.2 Tracking Time Costs ο· ο· The researcher measured total time per sample or batch, including: ο· Sample prep (weighing, loading crucibles/vessels). ο· Processing time (digestion/heating/ashing). ο· Cooling and handling. The researcher converted operator time to cost: ο· ο· Time (h) × Operator wage rate ($/h). This highlights labor intensity differences (hot plate digestion usually more hands-on; ashing is less labor-intensive once furnace is loaded). 3.8.3 Tracking Materials / Consumables ο· Perchloric acid digestion: ο· The researcher measured the average acid volumes used per sample (mL) and convert it to cost using unit price per litre. ο· The researcher included nitric acid (if used), deionized water, glassware wear/tear, fume hood filters (if applicable). 36 ο· Dry ashing: ο· The researcher considered the cost of crucibles (lifetime/number of uses before replacement), electricity only (no acid) and Minor consumables: desiccator drying agent, tongs/gloves wear, etc. 3.8.4 Tracking Maintenance and Repairs ο· ο· ο· The researcher considered hot plate digestion cost: ο· Cost of hot plate servicing/replacement parts. ο· Cost of perchloric-acid hood maintenance (special duct wash-downs). ο· Cost of handling perchlorate waste (special disposal). Muffle furnace ashing: ο· Furnace element replacement, calibration, insulation repairs. ο· Crucible breakage replacement. The researcher recorded maintenance costs from lab logs or supplier quotes and allocate per year and divided the annual maintenance cost by the estimated number of samples processed annually to get a per-sample maintenance cost. 3.8.5 Calculation Procedure For each method, the researcher calculated the Total Cost per Sample: Total Cost per Sample=Energy Cost + Labour Cost + Material Cost+ Maintenance Cost Where: ο· Energy Cost = (kW rating × h used × $/kWh) ÷ Samples per batch ο· Labour Cost = (Time required (h) × $/h wage) ÷ Samples per batch ο· Material Cost = Cost of acids, crucibles, disposables ÷ Samples per batch ο· Maintenance Cost = (Annual maintenance cost ÷ Annual samples) 37 Chapter 4 This chapter presents the results obtained from the procedural phases discussed in chapter 3. Each phase had tables of results, graphs and interpretations of experimental conditions Analysis of precious metal from carbon ash sample name ppm*100 carbon standard 1024 a1 938 a1 duplicate 954 a2 760 a2 duplicate 754 a3 924 a3 duplicate 916 blank 6 blank duplicate 8 a4 602 a4 duplicate 616 a5 874 a5 duplicate 882 a6 722 a6 duplicate 718 blank 6 blank duplicate 4 Table 1 Assay results for carbon ashing ppm 10.24 9.38 9.54 7.6 7.54 9.24 9.16 0.06 0.08 6.02 6.16 8.74 8.82 7.22 7.18 0.06 0.04 Bar graph for gold in carbon ash 1200 1000 g/t 800 1024 938 954 924 916 874 882 760 754 602 616 722 718 600 400 200 6 8 6 4 0 sample indefication Figure 8:Bar Graph for gold in Carbon Ash The above figure 8 bar graph is showing the results for the remaining ash after carbon ashing that was analyzed for gold content. The vertical bars represent the grade of gold that 38 was calculated from dividing the volume of the final analyte solution’s volume (100ml) by the grams of carbon used (1g) and multiplying the quotient by value recorded by the AAS machine 4.1.2 Analysis for gold after acid digestion of carbons using perchloric acid sample name carbon standard b1 b1 duplicate b2 b2 duplicate b3 b3 duplicate blank blank duplicate b4 b4 duplicate b5 b5 duplicate b6 b6 duplicate multiply by a ppm factor of 200 1000 5 950 960 752 738 910 922 10 4.75 4.8 3.76 3.69 4.55 4.61 0.05 6 0.03 596 614 860 876 710 2.98 3.07 4.3 4.38 3.55 724 3.62 blank 2 0.01 blank 8 0.04 duplicate Table 2 Results for perchloric acid digested carbon 39 Bar Graph for pechloric acid gold analysis 1200 1000 1000 950 960 g/t 800 910 922 860 876 752 738 596 614 710 724 600 400 200 10 6 2 8 0 sample identification Figure 9:Bar graph for perchloric acid gold analysis Figure 9 The above figure 9, shows the results acquired after the analysis of carbon that was digested in perchloric acid was done. The vertical bars represent the grade of gold that was currently within the carbon tanks. Calculated by dividing the volume of the final analyte solution’s volume (100ml) by the grams of carbon used (1g) and multiplying the quotient by value recorded by the AAS machine 4.1.3 side to side comparison on results of carbon ashing and perchloric acid digestion in the analysis of gold sample name carbon standard a1 a1 duplicate a2 a2 duplicate a3 a3 duplicate blank blank duplicate a4 a4 duplicate a5 a5 duplicate a6 a6 duplicate blank blank duplicate Assay results for gold in ash 1024 938 954 760 754 924 916 6 8 602 616 874 882 722 718 6 4 Assay results for gold in perchloric acid 1000 950 960 752 738 910 922 10 6 596 614 860 876 710 724 2 8 40 Table 3Side to side comparison for carbon ashing and perchloric acid digestion Table 3: Table for comparison of results for carbon ashing and perchloric acid digestion g/t side by side results for gold from ash and gold from pechloric acid 1200 1000 800 600 400 200 0 sample identification gold in ash gold in pechloric Figure 10: Results for both gold in ash and in perchloric acid Figure 10 The above figure 10 was used to show case the comparison of results between a gold analysis of a batch carbon that was ashed and one that was digested in perchloric acid. The result of the comparison clearly shows that there is little distinction for the results of both methods. The researcher can conclude that replacing perchloric acid digestion with carbon ashing will not compromise on the accuracy and quality of results acquired. 41 The development of a risk register to assess the safety of both methods 4.2.1 5 x 5 matrix Rare Unlikely Likely High possibility Almost guaranteed Table 4 5 X 5 matrix 1 2 3 4 Slight 1 1 2 3 4 Minor 2 2 4 6 8 Significant 3 3 6 9 12 Major 4 4 8 12 16 Catastrophic 5 5 10 15 20 5 5 10 15 20 25 The figure above shows the 5 x 5 matrix; this is a risk rating tool that was used by the researcher to calculate the magnitude or effect of a risk using figures as the indicator. The higher the figure the greater the danger. The magnitude of the risk was calculated by multiplying the chance of the risk occurring (rare (1) - almost guaranteed (5)) by its consequence (slight (1) – catastrophic (5)) 4.2.2 Risk rating into different ranges Table 5 Risk rating table Rating Low medium moderate high Very high Range 1-5 6-10 11-15 16-20 21-25 The researcher after calculating the magnitude of risk used this risk rating table to separate the risk into different ranges in order to further highlight their difference in intensity 42 4.2.3 Risk register for perchloric acid digestion and carbon ashing Table 6 Risk register Activity Hazard Digestion of Explosion carbon using perchloric acid Chemical burns (Perchloric Acid) Waste disposal hazard (Digestion) Toxicity of Fumes Consequence Death, injury, destruction Severe 25 (very high) lab Skin/eye damage Environmental harm, regulatory breach Severe irritation of the eyes, nose, throat, and lungs; chemical pneumonitis; and chronic respiratory problems. Extreme Severe burns, fire Reactivity and damage, and release Fire of toxic fumes. Carbon ashing High Severe burns on using muffle Temperature contact with skin. furnace and Thermal Burns Breakage of ceramic crucibles and tongs. Fire/Explosion Dust Generation Inherent risk 15 (moderate) 12 (moderate) 20 (high) 20 (high) 12 (moderate) Spillage of hot 16 (high) sample causing burns, cuts from ceramic shards Lab fire, damage to 15(moderate) the furnace, and injury from flying debris or flames. Inhalation of toxic 20 (high) dust containing concentrated heavy metals, silicates, or other analytes can cause lung damage Control Residual risk Strict monitoring of the 10 (medium) carbon samples being digested by a dedicated individual with express purpose of ensuring that all parameters are in working order PPE (gloves, goggles, lab 5 (low) coat), spill kits, emergency showers Neutralization protocols, 4 (low) hazardous waste disposal SOPs Use of dedicated perchloric 5 (low) acid fume hood, strict SOPs, trained personnel Use the smallest practical 4 (low) volume and concentration of acid. Use insulated thermal 3 (low) gloves and face protection when loading/unloading the furnace. Inspect crucibles for cracks 4 (low) before use Never ash samples that may 5 (low) contain explosives, peroxides, or volatile solvents. Follow the SOP and gently 5 (low) transport crucibles with lids covering them Table 6 above is showing the result of using the 5 x 5 matrix to quantify the different risk and using the risk rating table to group the risk into different ranges according the product of their likely hood of occurrence and their consequence. The inherent risk shows how not having controls to 43 mitigate the danger could actually lead a higher chance of occurrence of an incident. The residual risk shows that after implementing control measures the chances of occurrence of the risk are reduced even though the consequence itself does not change in value. 4.2.4 Risk rating visuals and explanation risk rating line graph for inherent risk and residual risk 30 25 20 15 10 5 0 25 20 15 10 5 20 20 12 16 15 4 5 12 5 4 4 3 5 Hazards inherent risk residual risk Figure 11:Inherent and Residual risk Figure 11: Line graph showing the inherent risk before implementing controls and residual risk after implementing controls The above figure 11 shows the difference in the occurrence of risk before and after adding controls. The researcher was able to ascertain that the risk of perchloric acid explosion had the highest chances of occurrence before and after adding controls 4.2.5 Residual risk assessment Residual Risk Assessment Label hazards r1 perchloric acid explosion r2 chemical burns r3 Waste disposal perchloric r4 Toxic fumes (perchloric) r5 fire (perchloric) r6 burns (ashing) r7 ceramic Breakage r8 explosion(ashing) r9 Dust inhalation Impact 5 Probability 2 5 4 1 1 5 1 4 3 4 5 5 1 1 1 1 1 44 Table 7Residual risk assessment Table 7: table for the risk after implementing the controls The above table 7 was used by the researcher to show the impact and occurrence of the risk that come from the different hazard even after control measures are put into place. Even after applying controls perchloric acid explosions still had the highest rating. this showcases how the use of perchloric acid in digestion of carbon is more dangerous that just ashing the carbon 4.2.6 Risk impact low medium high 1-2 3-4 5 Table 8 Impact rating table The above table 8 was used by the researcher to group the impacts into different categories of low medium and high 4.2.7 Visualizing impact and occurrence of residual risk residual risk assesment 3 r1 probability 2 r6 1 r7 r3 r5 r2 r8 r9 r4 0 Low Medium High impact Figure 12: Risk Assessment Graph The risk assessment chart above was used by the researcher to visually showcase the difference in dangers among the use of perchloric acid and dry ashing. The results show that the threat of explosion from perchloric acid had the highest impact and occurrence upon the slightest oversight during use. 45 4.3 Validation for carbon ashing over perchloric acid digestion Expected value for carbon standard: 1050 ppm 4.3.1. Accuracy / Trueness Method Measured (ppm) Recovery (%) Bias (ppm) Ash / Perchloric 1024 / 1000 97.52 / 95.24 -26 / -50 Table 9 Accuracy table 4.3.2 Precision / Repeatability Method sα΅£ (ppm) RSDα΅£ (%) Ash 7.26 0.87 Perchloric 10.07 1.21 Table 10 Precision Table 4.3.3 Method Comparison (Paired Test and Correlation) Mean difference (ash − perch) = +6.86 ppm Standard deviation of differences = 10.11 ppm Paired t = 1.795 (df = 6), p = 0.1228 (not significant) Bland–Altman 95% limits of agreement: −12.95 ppm to +26.67 ppm Correlation (r) = 0.9977 Regression: perch = 0.9838 × ash + 6.6576 4.3.4 Summary of Validation Metrics Parameter Ash Perchloric Accuracy (Recovery %) 97.52 95.24 Bias (ppm) -26 -50 Repeatability sα΅£ (ppm) 7.26 10.07 RSDα΅£ (%) 0.87 1.21 Correlation (r) 0.9977 0.9977 Regression Slope 0.9838 0.9838 Table 11Validation metrics table 46 validation chart for carbon ashing through perchloric acid digestion 150 Figures 100 50 0 -50 -100 Accuracy (Recovery %) Bias (ppm) Repeatability sα΅£ (ppm) RSDα΅£ (%) Correlation (r) Regression Slope Ash 97,52 -26 7,26 0,87 0,9977 0,9838 Perchloric 95,24 -50 10,07 1,21 0,9977 0,9838 Workings Ash Perchloric Figure 13 Validation for carbon ashing 4.3.5 Conclusion Carbon ashing shows similar or superior analytical performance to perchloric acid digestion. Accuracy (97.5%), precision (0.87% RSD), and method agreement (r = 0.9977) all fall within acceptable validation limits. Therefore, the ashing method can be considered valid and suitable for routine gold assay analysis. 4.4 Comparing time and energy usage for carbon ashing and perchloric acid digestion 4.4.1 For the muffle furnace which runs for 4h at a power rating of 4kW Total energy = (E warm) + (E soak at 30% duty) E warm = (Furnace power rating) x (Time taken to warm the oven) E soak = (Furnace power rating) x (duty) x (Time taken to ash) Total energy = (4.0 kW x 1.0h) + (4.0 kW x 0.30 x 3h) = 7.6 kW 47 4.4.2 For the hot plate which runs for three hours = Energy (kWh) = Power rating x Time taken =8kW * 3h =5.4kWh Method Power kWh Time Hours Muffle furnace 7.6 4 Hot plate 5.4 3 Table 12 Power and Time table Power and time bar graph graph 7,6 8 7 5,4 Figure 6 5 4 4 3 3 2 1 0 Power kWh Time Hours time and power Muffle furnace Hot plate Figure 14 Power and time graph 4.5 Calculating cost 4.5.1 Cost for carbon ashing Total cost= Energy + Labour + Materials + Maintenance Energy cost per sample. Energy cost per batch (kWh)= Power (kW) * Time (H) Power = = = 0.00520 kWh (energy used to ash carbon) Total energy = (E warm) + (E soak at 30% duty) 48 E warm = (Furnace power rating) x (Time taken to warm the oven) E soak = (Furnace power rating) x (duty) x (Time taken to ash) Total energy = (4.0 kW x 1.0h) + (4.0 kW x 0.30 x 3h) = 7.6 kWh The current price of electricity is $0.12/kWh =7.6 kWh x $0.12/kWh =$0.90 Therefore, the price of ashing per sample is =$0.90 / 17 =$0.05 Labour cost Hour worked * hourly wage = labor per batch = 4h * $3/h = $12 Labour cost per sample: =$12 / 17 = $0.71 Materials cost Crucible cost per sample = price of crucible/ umber of uses =$20 / 20 =$1 Maintenance cost Maintenance cost per sample = annual maintenance cost / annual number of samples =$600 / 18 615 annual carbon samples = $0.03 49 Total cost per sample = energy + labor + material + maintenance = $0.05 + $0.71 + $1 + $0.03 = $1.79 4.5.2 Cost per sample for acid digestion Energy cost =1.8kW * 3h =5.4kWh Cost per batch = 5.4kWh * $0.12/kwh =$0.65 Cost per sample = $0.65 / 17 =0.03 Labour cost 3h * $6/h = $18 Labour cost per sample =$18 / 17 samples =$1.06 Material cost =0.030L * $110/L =$3.30 Maintenance cost = $250 / 18 615 = $0.01 50 Total cost per sample = $0.03 + $1.06 +$3.30 + $0.01 =$4.4 Comparing cost between acid digestion using perchloric acid and dry carbon ashing bar graph comparing cost for ashing and digesting 5 4,4 cost $ 4 3,3 3 1,79 2 1 0,71 1,06 1 0,13 0,03 0,03 0,01 0 energy labour material mantenance total category ashing digesting Figure 15: Comparing cost between Dry ashing and Perchloric Acid digestion Figure 13 was used to display the cost associated with both the use of perchloric acid for carbon digestion and for carbon ashing. The result observed was that the use perchloric acid used a larger amount of money and therefore replacing the digestion method with the ashing method would decrease expenditures. 51 Chapter 5 Conclusions and Recommendations 5.1 Conclusion The study successfully identified carbon ashing as a suitable alternative to perchloric acid digestion as a means of removing the carbon from carbon samples, in order to leave behind the gold in ash eliminating the risk of analytical interference. The interference being that the carbon if present can trap gold leading to low recovery values during analysis. From the results presented in chapter four. The following results were drawn. 1. There is little variation in the results obtained after analyzing carbon samples that underwent perchloric acid digestion and the carbon samples that underwent carbon ashing. This concludes that carbon ashing can be used as an alternative measure for the removal of carbon to eliminate the risk of analytical interference caused by the adsorptive properties of the carbon itself. 2. The risks associated with using perchloric acid to digest and remove carbon from carbon samples were much higher that when using the carbon ashing method as a way of removing carbon to remain with the precious metal in ash. This concludes that the ashing method is a safer alternative to perchloric acid digestion 3. The energy and time required to complete the process of carbon ashing up to analysis of the sample is more than that of using perchloric acid to digest and evolve carbon until the stage of analysis. However, this is balanced out by the reduced cost and minimized danger concerning the analysis for gold in carbon samples 4. The cost of using perchloric acid to digest and evolve carbon to carbon dioxide in order to leave behind a sample free of interference from the carbon itself out ways the cost of ashing carbon using a muffle furnace. Therefore, it can be concluded that due the lowering of cost of analyzing carbon samples for gold is another good reason for replacing the method of perchloric acid digestion with carbon ashing. 5. After the researcher had conducted the study. The results obtained showed that carbon ashing is safer, cheaper and effective in being an alternative to perchloric acid digestion as it produces nearly identical 52 results. This coupled with the added benefit that the hot plate will become free for more digestion of other solid samples services the purpose of validating the fact that it is more beneficial to conduct carbon ashing at Ayrshire Mine rather than continuing to use the perchloric acid digestion method. 5.1.1 Recommendation From the prior conclusion that the researcher came to. The recommendation that can be made for the Ayrshire Mine laboratory is that. The representative of the laboratory working hand in hand with Tech services department Heads should apply to the top management for a shift into using the carbon ashing method when it comes to the preparation of carbon for the analysis of gold. They should immediately look into plans of procuring a muffle furnace, training employees on its use and safe conduct and the proper handling to avoid contamination and ash loss. It is highly advisable to shift heavily into the culture of ashing the carbon samples and rely on this method for the bulk of carbon preparation. However, perchloric acid digestion of carbon should not be completely stopped rather be kept as a measure to use when the service of carbon ashing cannot be conducted for extenuating circumstances. The difference however will be the the threat of harm from perchloric acid will be significantly reduced. 5.2 References Marsden, J. O., & House, C. I. (2006). The Chemistry of Gold Extraction (2nd ed.). Society for Mining, Metallurgy, and Exploration (SME). McGuire, M. (2019). The Extractive Metallurgy of Gold. Springer. Vogel, A. I., et al. (2019). Vogel's Quantitative Chemical Analysis (7th ed.). Pearson. Hiskey, J. B. (1984). "Activated Carbon and Gold–A Survey of Recovery Processes." Mineral Processing & Extractive Metallurgy Review, 1(1), 1-30. Fleming, C. A., & Nicol, M. J. (1984). "The Adsorption of Gold Cyanide on Activated Carbon. III. Factors Influencing the Rate of Loading and the Equilibrium Capacity." Journal of the South African Institute of Mining and Metallurgy, 84(4), 85-93. Zhao, J., Wu, Z., & Chen, J. (2006). "Recovery of gold from carbonaceous ores by roasting and bio-oxidation." Minerals Engineering, 19(6-8), 651-657. Lorenzen, L., & van Deventer, J. S. J. (1992). "The identification of refractoriness in gold-bearing ores by the selective destruction of minerals." Minerals Engineering, 5(10-12), 1267-1277. ASTM E2295 - 21: Standard Practice for Fire Assay Silver Corrections in Analysis of Metal Bearing Ores, Concentrates, and Related Metallurgical Materials by Silver Determination in Slags and Cupels. 53 Anglo American Research Laboratories (or similar major mining company) Internal Standards. The AusIMM Monograph Series: "Gold Ore Processing" (Various Editions). National Research Council (US) Committee on Prudent Practices in the Laboratory. (2011). Prudent Practices in the Laboratory: Handling and Management of Chemical Hazards. National Academies Press (US). OSHA (Occupational Safety and Health Administration) Technical Manual, Section II: Chapter 1. "Personal Sampling for Air Contaminants." Bretherick's Handbook of Reactive Chemical Hazards. (Latest Edition). Elsevier. 54 Appendix 1) Data (duplicates shown and the pair means used) (the researcher used the duplicate pairs for a1–a6 and not the carbon standard as it has a single value) Ash duplicates and means: ο· ο· ο· ο· ο· ο· ο· carbon standard: 1024 (single) a1: 938, 954 → mean = (938 + 954) / 2 = 1892 / 2 = 946.0 a2: 760, 754 → mean = (760 + 754) / 2 = 1514 / 2 = 757.0 a3: 924, 916 → mean = (924 + 916) / 2 = 1840 / 2 = 920.0 a4: 602, 616 → mean = (602 + 616) / 2 = 1218 / 2 = 609.0 a5: 874, 882 → mean = (874 + 882) / 2 = 1756 / 2 = 878.0 a6: 722, 718 → mean = (722 + 718) / 2 = 1440 / 2 = 720.0 Perchloric duplicates and means: ο· ο· ο· ο· ο· ο· ο· carbon standard: 1000 (single) a1: 950, 960 → mean = (950 + 960) / 2 = 1910 / 2 = 955.0 a2: 752, 738 → mean = (752 + 738) / 2 = 1490 / 2 = 745.0 a3: 910, 922 → mean = (910 + 922) / 2 = 1832 / 2 = 916.0 a4: 596, 614 → mean = (596 + 614) / 2 = 1210 / 2 = 605.0 a5: 860, 876 → mean = (860 + 876) / 2 = 1736 / 2 = 868.0 a6: 710, 724 → mean = (710 + 724) / 2 = 1434 / 2 = 717.0 The researcher compared the seven paired means (carbon standard, a1..a6). 2) Accuracy / Trueness for the carbon standard (explicit workings) Formula: ππππ π’πππ π£πππ’π π΄πππ’ππππ¦ = ( ) π 100 ππ₯ππππ‘ππ π£πππ’π Symbols: ο· ο· measured value = the assay result for the carbon standard (ppm) expected value = 1050 ppm (specified target) Ash (measured = 1024): xiv ο· Recovery = (1024 / 1050) × 100 = 0.9752 × 100 = 97.52% ≈ 97.52 % Bias (ppm) = measured − expected = 1024 − 1050 = −26 ppm (negative = under-recovery) Perchloric (measured = 1000): ο· Recovery = (1000 / 1050) × 100 = 0.95 × 100 = 95.23 % ≈ 95.24 % Bias (ppm) = 1000 − 1050 = −50 ppm Interpretation: both under-recover relative to 1050 ppm; ash is closer (smaller absolute bias). 3) Precision (repeatability) from duplicate pairs — full working The researcher used the standard duplicate-pair repeatability estimator: Formula: ∑π=π ππ ππ = √ π ππ Symbols: ππ = repeatability standard deviation ppm π π = difference between duplicate measurements π= number of duplicate pairs The researcher used the six duplicate pairs a1..a6 for each method (not the single carbon standard). Ash duplicate differences (x1 − x2): 1. a1: 938 − 954 = −16 2. a2: 760 − 754 = 6 3. a3: 924 − 916 = 8 xv 4. a4: 602 − 616 = −14 5. a5: 874 − 882 = −8 6. a6: 722 − 718 = 4 the researcher computed and sum: ο· ο· ο· ο· ο· ο· (−16)² = 256 6² = 36 8² = 64 (−14)² = 196 (−8)² = 64 4² Sum ∑=256+36+64+196+64+16=632 = 16 The researcher plugged into formula (n = 6): 632 π π,ππ β = √ 2π6 So sα΅£ (ash) = 7.2572 ppm (rounded). Perchloric duplicate differences : 1. 2. 3. 4. 5. 6. a1: 950 − 960 = −10 a2: 752 − 738 = 14 a3: 910 − 922 = −12 a4: 596 − 614 = −18 a5: 860 − 876 = −16 a6: 710 − 724 = −14 the researcher computed squares and sum: ο· ο· ο· ο· ο· ο· (−10)² = 100 14² = 196 (−12)² = 144 (−18)² = 324 (−16)² = 256 (−14)² = Sum ∑=100+196+144+324+256+196=1216 196 Now: xvi 1216 π π,ππππβ = √ 2π6 So sα΅£ (perch) = 10.0664 ppm (rounded). Relative repeatability (RSDα΅£, %) the researcher expressed sα΅£ relative to the overall mean of sample means (excluding blanks). Overall mean of the seven paired means: ο· ο· mean(ash_means) = (1024 + 946.0 + 757.0 + 920.0 + 609.0 + 878.0 + 720.0) / 7 = 5854 / 7 = 836.2857142857143 ppm mean(perch_means) = (1000 + 955.0 + 745.0 + 916.0 + 605.0 + 868.0 + 717.0) / 7 = 5806 / 7 = 829.4285714285714 ppm RSDα΅£_ash = (sα΅£_ash / mean_ash) × 100 = (7.25 / 836.28) × 100 = 0.0086 × 100 = 0.86 % ≈ 0.868 % RSDα΅£_perch = (10.06 / 829.42) × 100 = 0.012× 100 = 1.21 % ≈ 1.21 % Interpretation: both methods show excellent within-pair repeatability; ash is a bit better (lower RSD). 4) Paired differences (method comparison) — full working The researcher compared the seven paired means (ash mean − perch mean) and test whether the mean difference is significantly different from zero. Paired differences =ash −perch meanj for j = 1..7: 1. 2. 3. 4. 5. 6. 7. carbon standard: 1024 − 1000 = 24 a1: 946.0 − 955.0 = −9.0 a2: 757.0 − 745.0 = 12.0 a3: 920.0 − 916.0 = 4.0 a4: 609.0 − 605.0 = 4.0 a5: 878.0 − 868.0 = 10.0 a6: 720.0 − 717.0 = 3.0 the researcher computed the mean of these differences : xvii πΜ = 24 + (−9) + 12 + 4 + 4 + 10 + 3 48 = =6 7 7 So mean difference = +6.8571 ppm (ash minus perch). ( samples SD, ddof=1) The researcher computed the squared deviations from mean: ο· ο· ο· ο· ο· ο· ο· (24 − 6.85)² = (17.14)² = 293.87 (−9 − 6.85)² = (−15.85)² = 251.47 (12 − 6.85)² = (5.14)² = 26.44 (4 − 6.85)² = (−2.85)² = 8.16 (4 − 6.85)² = 8.16 (same as above) (10 − 6.85)² = (3.14)² = 9.87 (3 − 6.85)² = (−3.85)² = 14. Sum of squared deviations = 293.87 + 251.47+ 26.44 + 8.16 + 8.16 + 9.87 + 14.01 = 611.02 Sample variance (ddof=1) = sum / (n − 1) = 611.02/ (7 − 1) = 101.83 Sample standard deviation sd = =√101.837 So sd of differences = 10.1066 ppm. Paired t-test (two-sided) Test statistic: π‘= πΜ π π ⁄√π Symbols: ο· ο· ο· πΜ = mean of the paired differences = 6.85 ppm π π = sample standard deviation of differences = 10.10 ppm π = number of pairs = 7 The researcher computed the denominator: ο· π π ⁄√π=10.10 /√7 =3.81 xviii Then: t=6.85/3.81 Degrees of freedom = n – 1 = 6 Two-sided p-value (from t distribution with df = 6) ≈ 0.12278. Interpretation: p ≈ 0.123 > 0.05 → fail to reject Hβ: mean difference = 0. There is no statistically significant systematic difference between the methods at α = 0.05 on this dataset. 5) Bland–Altman limits of agreement (full working) Bland–Altman uses mean difference πΜ ± 1.96 ×π π (differences). ο· ο· mean difference πΜ =6.85ppm sd of differences π π =10.10ppm the researcher computed: ο· ο· Lower limit=πΜ −1.96π π =6.85−1.96×10.1 = −12.95ppm Upper limit = πΜ + 1.96π π = 6.85 + 19.80 = 26.67 ppm. So 95% limits of agreement: −12.95 ppm to +26.67 ppm. Interpretation: about 95% of ash − perch differences should lie between −12.95 and +26.67 ppm. You must judge whether that range is acceptable for your decisions (e.g., payable gold thresholds). 6) Correlation and linear regression (full working) We fit a simple linear regression of perch (y) on ash (x) using the 7 paired means. Symbols: Pearson π = ∑(π₯π −π₯Μ )(π¦π −π¦Μ ) ∑(π₯π −π₯Μ )2 Intercept π = π¦Μ − ππ₯Μ Slope π = ∑(π₯π −π₯Μ )(π¦π −π¦Μ ) √(π₯π −π₯Μ )2 (π¦π −π¦Μ )2 π₯ =ash men for each sample π¦= perchloric mean for each sample xix Computed numbers: ο· ο· mean(x) = mean(ash_means) = 836.28 mean(y) = mean(perch_means) = 829.42 Sum calculations (performed exactly in code) give: ο· ο· Pearson r = 0.99(very high linear correlation) slopeb=0.98 intercept a=6.65 So regression equation (approx): perch=0.98384 × ash + 6.6576 Interpretation: slope ≈ 0.984 (close to 1), intercept ≈ +6.66 — methods track closely across the measured range. 7) Summary table of the most important numeric results (rounded sensibly) ο· ο· ο· ο· ο· ο· Carbon standard recovery: Ash 97.52% (bias −26 ppm); Perchloric 95.24% (bias −50 ppm) Repeatability sα΅£: Ash 7.26 ppm; Perchloric 10.07 ppm Relative repeatability (RSDα΅£): Ash 0.87%; Perchloric 1.21% Paired mean difference (ash − perch): +6.86 ppm (sd = 10.11 ppm), paired t = 1.795, p = 0.1228 Bland–Altman 95% limits: −12.95 ppm to +26.67 ppm Pearson r = 0.99766; regression perch = 0.98384 × ash + 6.6576 8) Practical interpretation (concise) ο· ο· ο· ο· Accuracy: both methods under-measure vs expected 1050 ppm; ash is closer. Precision: ash shows slightly better repeatability. Agreement: very high correlation, non-significant mean difference (p ≈ 0.123). Bland– Altman limits are narrow compared with sample magnitudes — decide if ±13 to +27 ppm is acceptable for your use. Since those acceptance ranges meet Ayrshire Mines laboratory criteria, the math supports replacing perchloric digestion with carbon ashing using the data. xx xxi
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