Math Problem Statement
Solution
The problem asks us to determine the rate of pollutant released in pounds per day, given a concentration of 10 mg/L and a discharge of 0.3 million gallons per day (MGD).
Step-by-step solution:
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Convert the discharge from MGD to liters per day: So, (million gallons per day) is:
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Determine the mass of the pollutant in milligrams per day: Since the concentration is , the mass of pollutant released per day is:
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Convert milligrams to pounds: To convert milligrams to pounds, use the conversion factor: So:
Final Answer:
The rate of pollutant released is approximately 25.04 pounds per day.
Would you like any more details or explanations on this? Here are some related questions:
- How do you convert different units of volume, such as gallons to liters?
- Why is it important to use correct conversion factors in environmental calculations?
- How can this method be adapted for different pollutants or discharge rates?
- What factors might affect the concentration of pollutants in sewage treatment plants?
- How do regulatory agencies use calculations like this to monitor pollution levels?
Tip: Always double-check unit conversions to ensure consistency throughout environmental calculations.
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Rate Calculation
Pollutant Discharge
Formulas
1 gallon = 3.78541 liters
Total pollutant released = Concentration (mg/L) × Discharge (liters/day)
1 pound = 453,592.37 milligrams
Theorems
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Suitable Grade Level
Grades 11-12
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