300 pounds of lime are applied to treat 4 million gallons of water. What is the dosage in mg/L?

To find the dosage of lime in mg/L, we first need to convert the pounds of lime to milligrams and the volume of water from gallons to liters.

1. Convert pounds to milligrams:

There are 453,592 milligrams in a pound. Therefore, to convert 300 pounds of lime to milligrams, we perform the following calculation:

[

300 \text{ pounds} \times 453,592 \text{ mg/pound} = 136,077,600 \text{ mg}

]

2. Convert gallons to liters:

One gallon is equal to 3.78541 liters. Thus, 4 million gallons converted to liters is:

[

4,000,000 \text{ gallons} \times 3.78541 \text{ L/gallon} = 15,141,640 \text{ L}

]

3. Calculate the dosage in mg/L:

Now we can calculate the dosage by dividing the total amount of lime in milligrams by the total volume of water in liters:

[

\text{Dosage} = \frac{136,077,600