How does the flow rate of a plant in gpm need to change to achieve a feeding rate of 500 lbs/day at 12 mg/L dosage?

To determine the necessary flow rate to achieve a specific feeding rate, the dosage and the desired amount to be fed must be taken into account. In this case, the goal is to feed 500 pounds per day at a concentration of 12 mg/L.

First, convert the dosage from milligrams per liter to pounds per gallon for easier calculation. Since there are approximately 8.34 pounds per gallon, 12 mg/L is equivalent to 0.012 g/L, which can be converted to pounds per gallon by multiplying by the conversion factor (8.34). Therefore, at 12 mg/L, the dosage is approximately 0.0001 pounds per gallon.

Next, using the formula:

Feeding Rate (lbs/day) = Flow Rate (gpm) * Dosage (lbs/gallon) * 1440 minutes/day

With a target feeding rate of 500 lbs/day, you can rearrange the formula to calculate the necessary flow rate:

Flow Rate (gpm) = Feeding Rate / (Dosage * 1440)

Plugging in the numbers gives:

Flow Rate (gpm) = 500 lbs/day / (0.0001 lbs/gallon * 1440 minutes/day)

Flow Rate