A treatment plant adds 200 pounds of lime to 4.5 million gallons of water. Calculate the lime dosage in milligrams per liter.

To calculate the lime dosage in milligrams per liter (mg/L), we first need to convert the amount of lime added into a suitable measurement and then find out how it relates to the volume of water being treated.

1. Start with the amount of lime added: 200 pounds.

• There are 453,592.37 milligrams in one pound, so converting 200 pounds to milligrams involves multiplying:

[

200 \text{ pounds} \times 453,592.37 \frac{\text{mg}}{\text{pound}} = 90,718,475 \text{ mg}.

]

2. Next, convert the volume of water from gallons to liters. Knowing that one gallon is approximately 3.78541 liters, we calculate:

[

4.5 \text{ million gallons} = 4.5 \times 1,000,000 \text{ gallons} \times 3.78541 \frac{\text{liters}}{\text{gallon}} = 17,034,113.5 \text{ liters}.

]

3. Now the dosage in mg/L can be calculated by dividing the total amount of lime