Total Chlorine Residual at Any Particular Time Calculator

✖Number of Coliform present at initial time t0.ⓘ Number of Coliform [N₀]			+10% -10%
✖Number of Coliform at Initial Time number of coliform bacteria present in the initial sample would then be estimated by counting the number of colonies that grow on the culture medium.ⓘ Number of Coliform at Initial Time [N_t]			+10% -10%
✖Residence Time refers to the duration that wastewater remains in contact with a disinfectant agent within a treatment process.ⓘ Residence Time [t]			+10% -10%

✖Chlorine Residual refers to the concentration of chlorine remaining in water after it has been treated with chlorine-based disinfectants.ⓘ Total Chlorine Residual at Any Particular Time [C_t]

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Formula

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Total Chlorine Residual at Any Particular Time

Formula

`"C"_{"t"} = (("N"_{"0"}/"N"_{"t"})^(1/3)-1)/(0.23*"t")`

Example

`"0.364646mg/L"=(("4"/"3")^(1/3)-1)/(0.23*"20min")`

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Download Design of a Chlorination System for Wastewater Disinfection Formulas PDF PDF Image

Total Chlorine Residual at Any Particular Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chlorine Residual = ((Number of Coliform/Number of Coliform at Initial Time)^(1/3)-1)/(0.23*Residence Time)
C_t = ((N₀/N_t)^(1/3)-1)/(0.23*t)
This formula uses 4 Variables

Variables Used

Chlorine Residual - (Measured in Kilogram per Cubic Meter) - Chlorine Residual refers to the concentration of chlorine remaining in water after it has been treated with chlorine-based disinfectants.
Number of Coliform - Number of Coliform present at initial time t0.
Number of Coliform at Initial Time - Number of Coliform at Initial Time number of coliform bacteria present in the initial sample would then be estimated by counting the number of colonies that grow on the culture medium.
Residence Time - (Measured in Second) - Residence Time refers to the duration that wastewater remains in contact with a disinfectant agent within a treatment process.

STEP 1: Convert Input(s) to Base Unit

Number of Coliform: 4 --> No Conversion Required
Number of Coliform at Initial Time: 3 --> No Conversion Required
Residence Time: 20 Minute --> 1200 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_t = ((N₀/N_t)^(1/3)-1)/(0.23*t) --> ((4/3)^(1/3)-1)/(0.23*1200)

Evaluating ... ...

C_t = 0.000364646435863076

STEP 3: Convert Result to Output's Unit

0.000364646435863076 Kilogram per Cubic Meter -->0.364646435863076 Milligram per Liter (Check conversion here)

FINAL ANSWER

0.364646435863076 ≈ 0.364646 Milligram per Liter <-- Chlorine Residual

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 11 Design of a Chlorination System for Wastewater Disinfection Calculators

Residence Time given Number of Coliform Organisms at Any Particular Time

Go Residence Time = ((Number of Coliform/Number of Coliform at Initial Time)^(1/3)-1)/(0.23*Chlorine Residual)

Total Chlorine Residual at Any Particular Time

Go Chlorine Residual = ((Number of Coliform/Number of Coliform at Initial Time)^(1/3)-1)/(0.23*Residence Time)

Number of Coliform Organisms at any Initial Time

Go Number of Coliform = (Number of Coliform at Initial Time/(1+0.23*Chlorine Residual*Residence Time)^(-3))

Number of Coliform Organisms at Any Particular Time

Go Number of Coliform at Initial Time = Number of Coliform*(1+0.23*Chlorine Residual*Residence Time)^(-3)

Peaking Factor given Capacity of Chlorinator at Peak Flow

Go Peaking Factor = (Chlorine Required/(Average Flow*8.34*Dosage))

Average Flow given Capacity of Chlorinator at Peak Flow

Go Average Flow = (Chlorine Required/(Dosage*Peaking Factor*8.34))

Dosage Used given Capacity of Chlorinator at Peak Flow

Go Dosage = (Chlorine Required/(Peaking Factor*Average Flow*8.34))

Capacity of Chlorinator at Peak Flow

Go Chlorine Required = Dosage*Average Flow*8.34*Peaking Factor

Average Flow given Average Daily Consumption of Chlorine

Go Average Flow = (Chlorine Required/(Dosage*8.34))

Dosage Used given Average Daily Consumption of Chlorine

Go Dosage = (Chlorine Required/(8.34*Average Flow))

Average Daily Consumption of Chlorine

Go Chlorine Required = Dosage*Average Flow*8.34

Total Chlorine Residual at Any Particular Time Formula

Chlorine Residual = ((Number of Coliform/Number of Coliform at Initial Time)^(1/3)-1)/(0.23*Residence Time)
C_t = ((N₀/N_t)^(1/3)-1)/(0.23*t)

What is residual chlorine ?

Residual chlorine is the low level amount of chlorine remaining in the water after a certain period or contact time after its initial application. It constitutes an important safeguard against the risk of subsequent microbial contamination after treatment—a unique and significant benefit for public health.

How to Calculate Total Chlorine Residual at Any Particular Time?

Total Chlorine Residual at Any Particular Time calculator uses Chlorine Residual = ((Number of Coliform/Number of Coliform at Initial Time)^(1/3)-1)/(0.23*Residence Time) to calculate the Chlorine Residual, The Total Chlorine Residual at Any Particular Time is defined as the concentration of chlorine remaining in water after it has been treated with chlorine-based disinfectants, calculated using number of coliforms at initial time, number of coliforms at time t, and residence time. Chlorine Residual is denoted by C_t symbol.

How to calculate Total Chlorine Residual at Any Particular Time using this online calculator? To use this online calculator for Total Chlorine Residual at Any Particular Time, enter Number of Coliform (N₀), Number of Coliform at Initial Time (N_t) & Residence Time (t) and hit the calculate button. Here is how the Total Chlorine Residual at Any Particular Time calculation can be explained with given input values -> 364.6464 = ((4/3)^(1/3)-1)/(0.23*1200).

FAQ

What is Total Chlorine Residual at Any Particular Time?

The Total Chlorine Residual at Any Particular Time is defined as the concentration of chlorine remaining in water after it has been treated with chlorine-based disinfectants, calculated using number of coliforms at initial time, number of coliforms at time t, and residence time and is represented as C_t = ((N₀/N_t)^(1/3)-1)/(0.23*t) or Chlorine Residual = ((Number of Coliform/Number of Coliform at Initial Time)^(1/3)-1)/(0.23*Residence Time). Number of Coliform present at initial time t0, Number of Coliform at Initial Time number of coliform bacteria present in the initial sample would then be estimated by counting the number of colonies that grow on the culture medium & Residence Time refers to the duration that wastewater remains in contact with a disinfectant agent within a treatment process.

How to calculate Total Chlorine Residual at Any Particular Time?

The Total Chlorine Residual at Any Particular Time is defined as the concentration of chlorine remaining in water after it has been treated with chlorine-based disinfectants, calculated using number of coliforms at initial time, number of coliforms at time t, and residence time is calculated using Chlorine Residual = ((Number of Coliform/Number of Coliform at Initial Time)^(1/3)-1)/(0.23*Residence Time). To calculate Total Chlorine Residual at Any Particular Time, you need Number of Coliform (N₀), Number of Coliform at Initial Time (N_t) & Residence Time (t). With our tool, you need to enter the respective value for Number of Coliform, Number of Coliform at Initial Time & Residence Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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