Efficiency of First Filter Stage given Overall Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage)
E1 = (E-E2)/(1-E2)
This formula uses 3 Variables
Variables Used
Efficiency of First Filter Stage - Efficiency of first filter stage calculates the efficiency of the filter at the first stage.
Overall efficiency TF - Overall efficiency TF is the total efficiency of the trickling filter. It is calculated in percentage.
Efficiency of Second Filter Stage - Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.
STEP 1: Convert Input(s) to Base Unit
Overall efficiency TF: 0.9 --> No Conversion Required
Efficiency of Second Filter Stage: 99 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E1 = (E-E2)/(1-E2) --> (0.9-99)/(1-99)
Evaluating ... ...
E1 = 1.00102040816327
STEP 3: Convert Result to Output's Unit
1.00102040816327 --> No Conversion Required
FINAL ANSWER
1.00102040816327 1.00102 <-- Efficiency of First Filter Stage
(Calculation completed in 00.020 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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NSS College of Engineering (NSSCE), Palakkad
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7 Efficiency of Filter Calculators

Efficiency of Second Filter Stage
Go Efficiency of Second Filter Stage = 100/(1+((0.0561/(1-Efficiency of First Filter Stage))*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
Efficiency of First Filter Stage using Efficiency of Second Filter Stage
Go Efficiency of First Filter Stage = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))
Efficiency of First Filter Stage
Go Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
Efficiency of First Filter Stage given Overall Efficiency
Go Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage)
Efficiency of Second Filter Stage given Overall Efficiency
Go Efficiency of Second Filter Stage = (Overall efficiency TF-Efficiency of First Filter Stage)/(1-Efficiency of First Filter Stage)
Efficiency of First Filter given BOD Loading for Second Filter
Go Efficiency of First Filter Stage = 1-(BOD5 loading to the second stage filter/BOD Loading to Filter 2)
Overall Efficiency of Two Stage Trickling Filter
Go Overall efficiency TF = (Influent BOD-Effluent BOD/Influent BOD)*100

Efficiency of First Filter Stage given Overall Efficiency Formula

Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage)
E1 = (E-E2)/(1-E2)

What is filter stage?

The single-stage unit consists of a primary settling tank, filter, secondary settling tank, and facilities for recirculation of the effluent. Two-stage filters consist of two filters in series with a primary settling tank, an intermediate settling tank which may be omitted in certain cases, and a final settling tank.

How to Calculate Efficiency of First Filter Stage given Overall Efficiency?

Efficiency of First Filter Stage given Overall Efficiency calculator uses Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage) to calculate the Efficiency of First Filter Stage, The Efficiency of first filter stage given overall efficiency calculates the efficiency of the trickling filter at the first stage. It is calculated in terms of percentage. Efficiency of First Filter Stage is denoted by E1 symbol.

How to calculate Efficiency of First Filter Stage given Overall Efficiency using this online calculator? To use this online calculator for Efficiency of First Filter Stage given Overall Efficiency, enter Overall efficiency TF (E) & Efficiency of Second Filter Stage (E2) and hit the calculate button. Here is how the Efficiency of First Filter Stage given Overall Efficiency calculation can be explained with given input values -> 1.00102 = (0.9-99)/(1-99).

FAQ

What is Efficiency of First Filter Stage given Overall Efficiency?
The Efficiency of first filter stage given overall efficiency calculates the efficiency of the trickling filter at the first stage. It is calculated in terms of percentage and is represented as E1 = (E-E2)/(1-E2) or Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage). Overall efficiency TF is the total efficiency of the trickling filter. It is calculated in percentage & Efficiency of second filter stage is the total efficiency obtained from the second trickling filter.
How to calculate Efficiency of First Filter Stage given Overall Efficiency?
The Efficiency of first filter stage given overall efficiency calculates the efficiency of the trickling filter at the first stage. It is calculated in terms of percentage is calculated using Efficiency of First Filter Stage = (Overall efficiency TF-Efficiency of Second Filter Stage)/(1-Efficiency of Second Filter Stage). To calculate Efficiency of First Filter Stage given Overall Efficiency, you need Overall efficiency TF (E) & Efficiency of Second Filter Stage (E2). With our tool, you need to enter the respective value for Overall efficiency TF & Efficiency of Second Filter Stage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Efficiency of First Filter Stage?
In this formula, Efficiency of First Filter Stage uses Overall efficiency TF & Efficiency of Second Filter Stage. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Efficiency of First Filter Stage = 100/(1+(0.0561*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor))))
  • Efficiency of First Filter Stage = 1-(BOD5 loading to the second stage filter/BOD Loading to Filter 2)
  • Efficiency of First Filter Stage = 1+((0.0561/(100/Efficiency of Second Filter Stage)-1)*sqrt(BOD Loading to Filter 2/(Volume*Recirculation factor)))
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