A water treatment plant used 28 pounds of cat ionic polymer to treat 1,600,000 gallons of water during a 24 hour. Period. What is the polymer dosage in milligrams/liters

To find the polymer dosage in milligrams per liter (mg/L), we need to convert the units properly. Here’s how to calculate it:

### Step 1: Convert pounds of polymer to milligrams
1 pound = 453,592.37 milligrams
So, \( 28 \, \text{pounds} = 28 \times 453,592.37 \, \text{mg} = 12,700,586.36 \, \text{mg} \)

### Step 2: Convert gallons of water to liters
1 gallon = 3.78541 liters
So, \( 1,600,000 \, \text{gallons} = 1,600,000 \times 3.78541 \, \text{L} = 6,056,656 \, \text{L} \)

### Step 3: Calculate the dosage
Now, divide the total amount of polymer in milligrams by the total volume of water in liters:

\[
\text{Dosage} = \frac{12,700,586.36 \, \text{mg}}{6,056,656 \, \text{L}} \approx 2.10 \, \text{mg/L}
\]

Thus, the polymer dosage is approximately **2.10 mg/L**.

Would you like further details on the process or any additional questions?

### Related Questions:
1. How do unit conversions impact water treatment calculations?
2. What is the significance of using milligrams per liter in chemical dosages?
3. How can polymer usage be optimized in water treatment plants?
4. What other chemicals are commonly used in water treatment?
5. How does water volume variation affect polymer dosage?

### Tip:
Always double-check unit conversions in calculations to ensure accuracy in the final result.

A water treatment plant used 28 pounds of cationic polymer to treat 1,600,000 gallons of water during a 24-hour period. What is the polymer dosage in milligrams per liter?

Learn how to calculate the polymer dosage in milligrams per liter for a water treatment plant using 28 pounds of polymer to treat 1,600,000 gallons of water. This step-by-step solution covers key unit conversions and dosage calculation methods, suitable for students in Grades 9-12.

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