North Carolina Surface Water Math Practice Test 2025 - Free Practice Questions and Study Guide

Question: 1 / 400

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

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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

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