FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Mass of Wasted Activated Sludge Formula

Fx Copy

LaTeX Copy

Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system. Check FAQs

M ws = (Y \cdot Q s \cdot (Q i - Q o)) - (K e \cdot V \cdot X')

M_ws - Mass of Wasted Activated Sludge?Y - Maximum Yield Coefficient?Q_s - Sewage Discharge?Q_i - Influent BOD?Q_o - Effluent BOD?K^e - Endogenous Respiration Rate Constant?V - Volume of Tank?X^' - Mixed Liquor Suspended Solids?

Mass of Wasted Activated Sludge Example

With values

With units

Only example

Here is how the Mass of Wasted Activated Sludge equation looks like with Values.

Here is how the Mass of Wasted Activated Sludge equation looks like with Units.

Here is how the Mass of Wasted Activated Sludge equation looks like.

53626.25 = (0.5 \cdot 10 \cdot (11.2 - 0.4)) - (2.99 \cdot 9 \cdot 1200)

53626.25mg = (0.5 \cdot 10m³/s \cdot (11.2mg/L - 0.4mg/L)) - (2.99d⁻¹ \cdot 9m³ \cdot 1200mg/L)

53626.25 = (0.5 \cdot 10 \cdot (11.2 - 0.4)) - (2.99 \cdot 9 \cdot 1200)

Tip: Use pencil () icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Engineering » Civil » Environmental Engineering » Mass of Wasted Activated Sludge

Mass of Wasted Activated Sludge Solution

Follow our step by step solution on how to calculate Mass of Wasted Activated Sludge?

FIRST Step Consider the formula

M ws = (Y \cdot Q s \cdot (Q i - Q o)) - (K e \cdot V \cdot X')

Next Step Substitute values of Variables

∴

M ws = (0.5 \cdot 10m³/s \cdot (11.2mg/L - 0.4mg/L)) - (2.99d⁻¹ \cdot 9m³ \cdot 1200mg/L)

Next Step Convert Units

∴

M ws = (0.5 \cdot 10m³/s \cdot (0.0112kg/m³ - 0.0004kg/m³)) - (3.5E-5s⁻¹ \cdot 9m³ \cdot 1.2kg/m³)

Next Step Prepare to Evaluate

∴

M ws = (0.5 \cdot 10 \cdot (0.0112 - 0.0004)) - (3.5E-5 \cdot 9 \cdot 1.2)

Next Step Evaluate

∴

M ws = 0.05362625kg

LAST Step Convert to Output's Unit

∴

M ws = 53626.25mg

Mass of Wasted Activated Sludge Formula Elements

Variables

Mass of Wasted Activated Sludge

Mass of Wasted Activated Sludge is the total mass of sludge that is removed from the wastewater treatment process, specifically from the activated sludge system.

Symbol: M_ws

Measurement: WeightUnit: mg

Note: Value should be greater than 0.

Maximum Yield Coefficient

Maximum Yield Coefficient is the maximum mg of cells produced per mg organic matter removed.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be between 0.4 to 0.8.

Sewage Discharge

Sewage Discharge is the flow rate of sewage when it is being discharged in the river.

Symbol: Q_s

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Influent BOD

Influent BOD is the total amount of BOD which is present in the incoming sewage.

Symbol: Q_i

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Effluent BOD

Effluent BOD is the amount of BOD present in the outing sewage.

Symbol: Q_o

Measurement: DensityUnit: mg/L

Note: Value should be greater than 0.

Endogenous Respiration Rate Constant

Endogenous Respiration Rate Constant is used for designing a complete-mix activated-sludge system.

Symbol: K^e

Measurement: First Order Reaction Rate ConstantUnit: d⁻¹

Note: Value should be greater than 0.

Volume of Tank

Volume of Tank is defined as the capacity of flocculation and mixing tank.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Mixed Liquor Suspended Solids

Mixed Liquor Suspended Solids is the concentration of suspended solids in the mixed liquor of an aeration tank during the activated sludge process.

Symbol: X^'

Measurement: DensityUnit: mg/L

Note: Value should be between 1000 to 6500.

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Formula and 2100+ more formulas!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Formula and 2600+ more formulas!

Other formulas in Sludge Age category

Go Concentration of Solids in Returned Sludge given MLSS

X Em = \frac{X' \cdot V}{Q w \cdot θ c}

Go Endogenous Respiration Rate Constant given Mass of Wasted Activated Sludge

K e = \frac{(Y \cdot Q s \cdot (Q i - Q o)) - M ws}{X' \cdot V}

How to Evaluate Mass of Wasted Activated Sludge?

Mass of Wasted Activated Sludge evaluator uses Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids) to evaluate the Mass of Wasted Activated Sludge, The Mass of Wasted Activated Sludge formula is defined as the calculation of the mass of wasted activated sludge when we have prior information of other parameters used. Mass of Wasted Activated Sludge is denoted by M_ws symbol.

How to evaluate Mass of Wasted Activated Sludge using this online evaluator? To use this online evaluator for Mass of Wasted Activated Sludge, enter Maximum Yield Coefficient (Y), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V) & Mixed Liquor Suspended Solids (X^') and hit the calculate button.

FAQs on Mass of Wasted Activated Sludge

What is the formula to find Mass of Wasted Activated Sludge?

The formula of Mass of Wasted Activated Sludge is expressed as Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids). Here is an example- 5.4E+10 = (0.5*10*(0.0112-0.0004))-(3.46064814814815E-05*9*1.2).

How to calculate Mass of Wasted Activated Sludge?

With Maximum Yield Coefficient (Y), Sewage Discharge (Q_s), Influent BOD (Q_i), Effluent BOD (Q_o), Endogenous Respiration Rate Constant (K^e), Volume of Tank (V) & Mixed Liquor Suspended Solids (X^') we can find Mass of Wasted Activated Sludge using the formula - Mass of Wasted Activated Sludge = (Maximum Yield Coefficient*Sewage Discharge*(Influent BOD-Effluent BOD))-(Endogenous Respiration Rate Constant*Volume of Tank*Mixed Liquor Suspended Solids).

Can the Mass of Wasted Activated Sludge be negative?

No, the Mass of Wasted Activated Sludge, measured in Weight cannot be negative.

Which unit is used to measure Mass of Wasted Activated Sludge?

Mass of Wasted Activated Sludge is usually measured using the Milligram[mg] for Weight. Kilogram[mg], Gram[mg], Ton (Metric)[mg] are the few other units in which Mass of Wasted Activated Sludge can be measured.

Spanish French German Russian Italian Portuguese Polish Dutch

Let Others Know

✖

Facebook

Twitter

Copied!

Mass of Wasted Activated Sludge Formula

Mass of Wasted Activated Sludge Example

Mass of Wasted Activated Sludge Solution

Mass of Wasted Activated Sludge Formula Elements

Credits

Other formulas in Sludge Age category

How to Evaluate Mass of Wasted Activated Sludge?

FAQs on Mass of Wasted Activated Sludge

Variable Name