How to Calculate Food-to-Microorganism Ratio (F-M)

how to calculate fm ratio food-to-microorganism ratio wastewater math

In today’s post, we’re going to learn about food-to-microorganism ratio , also known as F-M ratio.   It’s a common test question on the certification exam, so be sure to learn it.  

   

After you finish watching this video, try solving a similar F-M ratio math problem on your own.  The practice exams at the following link contain a few F-M ratio math problems: click here for the practice exams.  Or, you have the option of taking this online course:  click here for the online course. 

 

What is an F-M ratio?

Simply put, the F-M ratio is a measure of the amount of food, or BOD, that is given to the microorganisms in the aeration tank.  The microorganisms are the mixed liquor volatile suspended solids, or MLVSS.

 

Here’s the formula to calculate the food-to-microorganism ratio:

F-M ratio = lbs/day of food (BOD) / lbs of MLVSS

 

The answer will be in the following units:

lbs/day BOD / lbs of MLVSS

 

The top of the formula represents the amount of BOD going into the aeration.  This is also called the primary effluent.  The bottom of the formula is the amount of microorganisms inside the aeration tank that will consume the incoming BOD.  The F-M ratio determines how much lbs/day of BOD is available for each lb of microorganism in the aeration tank.

 

On exams, you may be given the BOD in mg/L and the incoming flowrate in MGD.  In this case, you’ll use the lbs/day formula to calculate the BOD in lbs/day.

 

Make sure to understand the difference between MLSS and MLVSS. MLSS is mixed liquor suspended solids, which are the suspended solids in the aeration tank. They include both organics and inorganics. On the other hand, MLVSS is the volatile portion, which are essentially the microorganisms. For the F-M ratio, you would use the MLVSS.

 

HELPFUL RESOURCES:

 

Practice Exams

Online Course

 

NEED ADDITIONAL HELP?

 

If you need additional help, please feel free to contact me by clicking on this link.

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