Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Organic Matter at Start = Oxygen Deficit/(Deoxygenation Constant/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days))
L = D/(KD/(KR-KD))*(10^(-KD*t)-10^(-KR*t)+Do*10^(-KR*t))
This formula uses 6 Variables
Variables Used
Organic Matter at Start - (Measured in Kilogram per Cubic Meter) - Organic Matter at Start is the total organic matter present in the sewage at the start of the BOD reaction.
Oxygen Deficit - (Measured in Kilogram per Cubic Meter) - Oxygen Deficit is defined as the sum of the minute differences between the measured oxygen uptake and the oxygen uptake occurring during steady-state work at that same rate.
Deoxygenation Constant - (Measured in 1 Per Second) - Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage.
Reoxygenation coefficient - (Measured in 1 Per Second) - Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient.
Time in days - (Measured in Second) - Time in days is the time calculated in days.
Initial oxygen deficit - (Measured in Kilogram per Cubic Meter) - Initial oxygen deficit is the amount of oxygen required at initial levels.
STEP 1: Convert Input(s) to Base Unit
Oxygen Deficit: 4.2 Milligram per Liter --> 0.0042 Kilogram per Cubic Meter (Check conversion here)
Deoxygenation Constant: 0.23 1 Per Day --> 2.66203703703704E-06 1 Per Second (Check conversion here)
Reoxygenation coefficient: 0.1 1 Per Day --> 1.15740740740741E-06 1 Per Second (Check conversion here)
Time in days: 10 Day --> 864000 Second (Check conversion here)
Initial oxygen deficit: 7.2 Milligram per Liter --> 0.0072 Kilogram per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = D/(KD/(KR-KD))*(10^(-KD*t)-10^(-KR*t)+Do*10^(-KR*t)) --> 0.0042/(2.66203703703704E-06/(1.15740740740741E-06-2.66203703703704E-06))*(10^(-2.66203703703704E-06*864000)-10^(-1.15740740740741E-06*864000)+0.0072*10^(-1.15740740740741E-06*864000))
Evaluating ... ...
L = 0.000223784337845196
STEP 3: Convert Result to Output's Unit
0.000223784337845196 Kilogram per Cubic Meter -->0.223784337845196 Milligram per Liter (Check conversion here)
FINAL ANSWER
0.223784337845196 0.223784 Milligram per Liter <-- Organic Matter at Start
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has created this Calculator and 500+ more calculators!
Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has verified this Calculator and 600+ more calculators!

6 Oxygen Equivalent Calculators

Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation
Go Organic Matter at Start = Oxygen Deficit/(Deoxygenation Constant/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days))
Oxygen Equivalent in First Stage Equation
Go Oxygen Equivalent = ((Critical oxygen deficit*Self purification constant)^(Self purification constant-1)*Self purification constant*(1-(Self purification constant-1)*Initial oxygen deficit)^(1/Self purification constant))
Oxygen Equivalent given Critical Time in Self Purification Factor
Go Oxygen Equivalent = Critical oxygen deficit*(Self purification constant-1)/(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant))
Oxygen Equivalent given Critical Oxygen Deficit
Go Oxygen Equivalent = Critical oxygen deficit*Reoxygenation coefficient/(Deoxygenation Constant*10^(-Deoxygenation Constant*Critical time))
Oxygen Equivalent given Log value of Critical Oxygen Deficit
Go Oxygen Equivalent = Self purification constant*10^(log10(Critical oxygen deficit)+(Deoxygenation Constant*Critical time))
Oxygen Equivalent given Self Purification Constant with Critical Oxygen Deficit
Go Oxygen Equivalent = Critical oxygen deficit*Self purification constant/(10^(-Deoxygenation Constant*Critical time))

Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation Formula

Organic Matter at Start = Oxygen Deficit/(Deoxygenation Constant/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days))
L = D/(KD/(KR-KD))*(10^(-KD*t)-10^(-KR*t)+Do*10^(-KR*t))

What is Streeter Phelps equation?

The Streeter–Phelps equation is used in the study of water pollution as a water quality modelling tool. The model describes how dissolved oxygen decreases in a river or stream along a certain distance by degradation of biochemical oxygen demand.

How to Calculate Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation?

Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation calculator uses Organic Matter at Start = Oxygen Deficit/(Deoxygenation Constant/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days)) to calculate the Organic Matter at Start, Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation is defined as amount of oxygen equivalents consumed in chemical oxidation of organic matter by strong oxidant. Organic Matter at Start is denoted by L symbol.

How to calculate Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation using this online calculator? To use this online calculator for Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation, enter Oxygen Deficit (D), Deoxygenation Constant (KD), Reoxygenation coefficient (KR), Time in days (t) & Initial oxygen deficit (Do) and hit the calculate button. Here is how the Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation calculation can be explained with given input values -> 223.7843 = 0.0042/(2.66203703703704E-06/(1.15740740740741E-06-2.66203703703704E-06))*(10^(-2.66203703703704E-06*864000)-10^(-1.15740740740741E-06*864000)+0.0072*10^(-1.15740740740741E-06*864000)).

FAQ

What is Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation?
Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation is defined as amount of oxygen equivalents consumed in chemical oxidation of organic matter by strong oxidant and is represented as L = D/(KD/(KR-KD))*(10^(-KD*t)-10^(-KR*t)+Do*10^(-KR*t)) or Organic Matter at Start = Oxygen Deficit/(Deoxygenation Constant/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days)). Oxygen Deficit is defined as the sum of the minute differences between the measured oxygen uptake and the oxygen uptake occurring during steady-state work at that same rate, Deoxygenation Constant is the value obtained after decomposing of oxygen in sewage, Reoxygenation coefficient implies the higher the flow velocity, the higher the re-oxygenation coefficient, Time in days is the time calculated in days & Initial oxygen deficit is the amount of oxygen required at initial levels.
How to calculate Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation?
Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation is defined as amount of oxygen equivalents consumed in chemical oxidation of organic matter by strong oxidant is calculated using Organic Matter at Start = Oxygen Deficit/(Deoxygenation Constant/(Reoxygenation coefficient-Deoxygenation Constant))*(10^(-Deoxygenation Constant*Time in days)-10^(-Reoxygenation coefficient*Time in days)+Initial oxygen deficit*10^(-Reoxygenation coefficient*Time in days)). To calculate Oxygen Equivalent given DO Deficit using Streeter-Phelps Equation, you need Oxygen Deficit (D), Deoxygenation Constant (KD), Reoxygenation coefficient (KR), Time in days (t) & Initial oxygen deficit (Do). With our tool, you need to enter the respective value for Oxygen Deficit, Deoxygenation Constant, Reoxygenation coefficient, Time in days & Initial oxygen deficit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!