Copper Production Calculation from Ore
This solution outlines the steps to calculate the daily copper production based on the provided ore supply, copper content, and extraction efficiency.
Step 1: Calculate Total Copper Content in Ore
Determine the total amount of copper available in the daily ore supply.
- Ore supplied daily: $10000$ tons
- Average copper content: $1.5\%$ by weight
- Total copper calculation: $ \text{Total Copper} = \text{Ore Supplied} \times \frac{\text{Copper Content}}{100} $ $ \text{Total Copper} = 10000 \text{ tons} \times \frac{1.5}{100} $ $ \text{Total Copper} = 150 \text{ tons} $
Therefore, the daily ore supply contains $150$ tons of copper.
Step 2: Calculate Actual Copper Production
Calculate the amount of copper extracted by the smelter, considering the extraction efficiency.
- Total copper available: $150$ tons
- Extraction efficiency: $80\%$
- Copper production calculation: $ \text{Copper Production} = \text{Total Copper} \times \frac{\text{Extraction Efficiency}}{100} $ $ \text{Copper Production} = 150 \text{ tons} \times \frac{80}{100} $ $ \text{Copper Production} = 120 \text{ tons} $
The smelter produces $120$ tons of copper per day.
Conclusion
The daily production of copper is calculated by first finding the total copper in the ore and then applying the extraction efficiency.
Important Questions from Percentage (Notes)
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