Calculate mg/L from lb/day and daily flow, or solve for mass loading or flow using MGD, gallons, liters, cubic meters, kilograms, and exact or 8.34 factors.

Mass loading and concentration require a matching flow over the same period. Gallons and MGD here use US liquid gallons.

Optional settings

8.34 is rounded and changes the calculated values slightly.

lb/day To mg/L Formula

The following formula calculates concentration from mass loading in lb/day and matching daily volume in US gallons/day. A mass load alone cannot determine mg/L.

C = (FR ร— 453592.37) / (FV ร— 3.785411784)

Variables:

  • C is the concentration in mg/L
  • FR is the mass loading in lb/day
  • FV is the daily volume in US gallons/day

Multiply the lb/day loading by 453592.37 mg/lb, then divide by the daily volume multiplied by 3.785411784 L per US gallon. Equivalently, mg/L = lb/day / (MGD ร— 8.345404452019โ€ฆ). The optional 8.34 operator convention is rounded and produces a slightly different result. Use matching load and flow periods.

lb/day โ†” mg/L Conversion Table (at Flow = 1.0 MGD)
Flow (MGD) Concentration (mg/L) Mass (lb/day)
1.00.10.835
1.00.252.086
1.00.54.173
1.018.345
1.01.512.518
1.0216.691
1.0325.036
1.0541.727
1.07.562.591
1.01083.454
1.012.5104.318
1.015125.181
1.020166.908
1.025208.635
1.030250.362
1.040333.816
1.050417.270
1.075625.905
1.0100834.540
1.01501,251.811
* Rounded to 3 decimals. Uses lb/day = mg/L ร— MGD ร— 8.345404. 1 MGD = 1,000,000 gal/day.

What is lb/day To mg/L?

The lb/day to mg/L conversion is a method used to determine the concentration of a substance in a liquid. This is particularly useful in fields such as environmental engineering, wastewater treatment, and chemical processing, where it is essential to know the concentration of pollutants or chemicals in a given volume of water. The conversion allows for the calculation of the concentration in milligrams per liter (mg/L) from the flow rate in pounds per day (lb/day) and the flow volume in gallons per day (gallons/day).

How to Calculate lb/day To mg/L?

The following steps outline how to calculate the concentration in mg/L from lb/day and gallons/day.


  1. First, determine the flow rate in lb/day (FR).
  2. Next, determine the flow volume in gallons/day (FV).
  3. Finally, calculate C = (FR * 453592.37) / (FV * 3.785411784), using US gallons.
  4. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Flow rate (FR) = 100 lb/day

Flow volume (FV) = 5000 gallons/day