During a week, an operator adjusts the alum dosage from 12 mg/L to 15 mg/L. If the flow rate remains constant at 4,200 gpm, what is the new daily alum feed rate in pounds?

To determine the new daily alum feed rate in pounds after adjusting the alum dosage, we need to follow a series of calculations.

First, we need to convert the flow rate from gallons per minute (gpm) to gallons per day (gpd). Since there are 1,440 minutes in a day, we multiply the flow rate by this number:

4,200 gpm * 1,440 minutes/day = 6,048,000 gallons/day.

Next, we convert the alum dosage from milligrams per liter (mg/L) to pounds per day. We know that 1 mg/L is equivalent to 1 pound per million gallons. Since our flow rate is in gallons, we can use this relationship for the calculations.

The new alum dosage is 15 mg/L. To find the pounds of alum needed for the daily flow, we use the following formula:

Pounds of alum = (Dosage in mg/L) * (Flow in gpd) / 1,000,000.

Substituting the numbers:

Pounds of alum = (15 mg/L) * (6,048,000 gpd) / 1,000,000

= 15 * 6.048

=