Initial Oxygen Deficit in First Stage Equation Calculator

✖Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.ⓘ Critical oxygen deficit [D_c]			+10% -10%
✖Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.ⓘ Self purification constant [f]			+10% -10%
✖Oxygen Equivalent is the oxidisable organic matter present in sewage.ⓘ Oxygen Equivalent [L_t]			+10% -10%

✖Initial oxygen deficit is the amount of oxygen required at initial levels.ⓘ Initial Oxygen Deficit in First Stage Equation [D_o]

⎘ Copy

👎

Formula

✖

Initial Oxygen Deficit in First Stage Equation

Formula

`"D"_{"o"} = 1-(((1/"D"_{"c"})^("f"-1))*(("L"_{"t"}/"f")^"f")/("f"-1))`

Example

`"1043.216mg/L"=1-(((1/"6")^("0.6"-1))*(("0.21mg/L"/"0.6")^"0.6")/("0.6"-1))`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

Initial Oxygen Deficit in First Stage Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial oxygen deficit = 1-(((1/Critical oxygen deficit)^(Self purification constant-1))*((Oxygen Equivalent/Self purification constant)^Self purification constant)/(Self purification constant-1))
D_o = 1-(((1/D_c)^(f-1))*((L_t/f)^f)/(f-1))
This formula uses 4 Variables

Variables Used

Initial oxygen deficit - (Measured in Kilogram per Cubic Meter) - Initial oxygen deficit is the amount of oxygen required at initial levels.
Critical oxygen deficit - Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate.
Self purification constant - Self purification constant is the ratio of reoxygenation constant to deoxygenation constant.
Oxygen Equivalent - (Measured in Kilogram per Cubic Meter) - Oxygen Equivalent is the oxidisable organic matter present in sewage.

STEP 1: Convert Input(s) to Base Unit

Critical oxygen deficit: 6 --> No Conversion Required
Self purification constant: 0.6 --> No Conversion Required
Oxygen Equivalent: 0.21 Milligram per Liter --> 0.00021 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_o = 1-(((1/D_c)^(f-1))*((L_t/f)^f)/(f-1)) --> 1-(((1/6)^(0.6-1))*((0.00021/0.6)^0.6)/(0.6-1))

Evaluating ... ...

D_o = 1.04321567844861

STEP 3: Convert Result to Output's Unit

1.04321567844861 Kilogram per Cubic Meter -->1043.21567844861 Milligram per Liter (Check conversion here)

FINAL ANSWER

1043.21567844861 ≈ 1043.216 Milligram per Liter <-- Initial oxygen deficit

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Disposing of the sewage effluents » Oxygen Deficit » Initial Oxygen Deficit in First Stage Equation

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!

< 5 Oxygen Deficit Calculators

DO Deficit using Streeter-Phelps Equation

Go Oxygen Deficit = (Deoxygenation Constant*Organic Matter at Start/(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))

Initial Oxygen Deficit in First Stage Equation

Go Initial oxygen deficit = 1-(((1/Critical oxygen deficit)^(Self purification constant-1))*((Oxygen Equivalent/Self purification constant)^Self purification constant)/(Self purification constant-1))

Oxygen Deficit given Critical Time in Self Purification Factor

Go Critical oxygen deficit = (Oxygen Equivalent/(Self purification constant-1))*(1-((10^(Critical time*Deoxygenation Constant*(Self purification constant-1)))/Self purification constant))

Log value of Critical Oxygen Deficit

Go Critical oxygen deficit = 10^(log10(Oxygen Equivalent/Self purification constant)-(Deoxygenation Constant*Critical time))

Oxygen Deficit

Go Oxygen Deficit = Saturated Dissolved Oxygen-Actual Dissolved Oxygen

Initial Oxygen Deficit in First Stage Equation Formula

What is the use of first stage equation?

First stage equation is used in predicting the oxygen content at any point along the stream and helps in estimating the degree of wastewater treatment required.

How to Calculate Initial Oxygen Deficit in First Stage Equation?

Initial Oxygen Deficit in First Stage Equation calculator uses Initial oxygen deficit = 1-(((1/Critical oxygen deficit)^(Self purification constant-1))*((Oxygen Equivalent/Self purification constant)^Self purification constant)/(Self purification constant-1)) to calculate the Initial oxygen deficit, The Initial Oxygen Deficit in First Stage Equation 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. Initial oxygen deficit is denoted by D_o symbol.

How to calculate Initial Oxygen Deficit in First Stage Equation using this online calculator? To use this online calculator for Initial Oxygen Deficit in First Stage Equation, enter Critical oxygen deficit (D_c), Self purification constant (f) & Oxygen Equivalent (L_t) and hit the calculate button. Here is how the Initial Oxygen Deficit in First Stage Equation calculation can be explained with given input values -> 1E+6 = 1-(((1/6)^(0.6-1))*((0.00021/0.6)^0.6)/(0.6-1)).

FAQ

What is Initial Oxygen Deficit in First Stage Equation?

The Initial Oxygen Deficit in First Stage Equation 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 and is represented as D_o = 1-(((1/D_c)^(f-1))*((L_t/f)^f)/(f-1)) or Initial oxygen deficit = 1-(((1/Critical oxygen deficit)^(Self purification constant-1))*((Oxygen Equivalent/Self purification constant)^Self purification constant)/(Self purification constant-1)). Critical oxygen deficit is the condition where the deoxygenation rate exceeds the reoxygenation rate, Self purification constant is the ratio of reoxygenation constant to deoxygenation constant & Oxygen Equivalent is the oxidisable organic matter present in sewage.

How to calculate Initial Oxygen Deficit in First Stage Equation?

The Initial Oxygen Deficit in First Stage Equation 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 is calculated using Initial oxygen deficit = 1-(((1/Critical oxygen deficit)^(Self purification constant-1))*((Oxygen Equivalent/Self purification constant)^Self purification constant)/(Self purification constant-1)). To calculate Initial Oxygen Deficit in First Stage Equation, you need Critical oxygen deficit (D_c), Self purification constant (f) & Oxygen Equivalent (L_t). With our tool, you need to enter the respective value for Critical oxygen deficit, Self purification constant & Oxygen Equivalent and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search