A sewage treatment plant discharges a pollutant with a concentration of \( 10 \mathrm{mg} / \mathrm{L} \). The plant's total discharge is 0.2 MGD (millions of gallons per day). Determine the rate of pollutant released in pounds pe day. Give your answer accurate to at least two decimal places.
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Bonus Knowledge
To find the rate of pollutant released in pounds per day, we start by converting the discharge from millions of gallons per day (MGD) to liters per day, and then calculate the mass of the pollutant from its concentration. 1. Convert 0.2 MGD to liters per day: - 1 million gallons = 3,785.41 liters. - \( 0.2 \, \text{MGD} = 0.2 \times 1,000,000 \, \text{gallons} \times 3,785.41\, \text{liters/gallon} = 757,082 \, \text{liters/day}.\) 2. Calculate the mass of the pollutant in mg: - Concentration = \( 10 \, \text{mg/L} \). - Mass = concentration × volume = \( 10 \, \text{mg/L} \times 757,082 \, \text{L/day} = 7,570,820 \, \text{mg/day}.\) 3. Convert mg to pounds: - There are 453,592 mg in a pound. - \( \frac{7,570,820 \, \text{mg/day}}{453,592 \, \text{mg/pound}} \approx 16.66 \, \text{pounds/day}. \) Thus, the rate of pollutant released is approximately **16.66 pounds per day**.
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