A pond contains 42.1 acre-feet of water. How much Never-Kill herbicide product is needed for 0.8 ppm active ingredient if the formulation contains 5.0% active ingredient?

To determine the amount of Never-Kill herbicide needed to achieve a concentration of 0.8 parts per million (ppm) in a pond that contains 42.1 acre-feet of water, it is necessary to first understand the relationship between ppm, the volume of water, and the concentration of the active ingredient in the herbicide formulation.

1. Convert acre-feet to gallons: One acre-foot of water is equivalent to 325,851 gallons. Therefore, 42.1 acre-feet would be:

[

42.1 \text{ acre-feet} \times 325,851 \text{ gallons/acre-foot} = 13,726,829.1 \text{ gallons}

]

2. Calculate the total volume in liters: Since 1 gallon is approximately 3.78541 liters, the volume in liters can be calculated:

[

13,726,829.1 \text{ gallons} \times 3.78541 \text{ liters/gallon} = 51,961,176.36 \text{ liters}

]

3. Calculate the total active ingredient needed for 0.8 ppm: