If a pond contains 42.1 acre-feet of water and the herbicide requires 0.8 ppm of active ingredient, how much active ingredient is necessary?

To determine the amount of active ingredient required for the herbicide, you need to calculate the total volume of water in the pond in gallons, convert that to liters, and then apply the desired concentration of the herbicide.

First, convert the volume of water from acre-feet to gallons. One acre-foot is approximately 325,851 gallons. Therefore, 42.1 acre-feet is:

42.1 acre-feet × 325,851 gallons/acre-foot = approximately 13,715,170 gallons.

Next, you should know that 1 ppm (part per million) is equivalent to 1 mg of active ingredient per liter of water. To work with gallons, you'll need to convert gallons to liters. There are approximately 3.78541 liters in a gallon. So, the total volume in liters is:

13,715,170 gallons × 3.78541 liters/gallon ≈ 51,895,291 liters.

Now, since the herbicide requires 0.8 ppm, you can calculate the amount of active ingredient needed:

0.8 mg/L × 51,895,291 L = approximately 41,516,232 mg.

Now, convert this to pounds (since there are