Gas Flowrate for Absorption Column on Solute Free Basis Calculator

✖The Liquid Flowrate on Solute Free Basis is defined as the Inlet Liquid Flowrate on solute free basis to the absorption column.ⓘ Liquid Flowrate on Solute Free Basis [L_s]			+10% -10%
✖The Solute Free Mole Fraction of Gas in Inlet is the mole fraction of the Solute in the Gas stream entering the column on solute free basis.ⓘ Solute Free Mole Fraction of Gas in Inlet [Y_N+1]			+10% -10%
✖The Solute Free Mole Fraction of Gas in Outlet is the mole fraction of the solute in the exit gas stream of the column on solute free basis.ⓘ Solute Free Mole Fraction of Gas in Outlet [Y₁]			+10% -10%
✖The Solute Free Mole Fraction of Liquid in Outlet is the Mole fraction of the solute in the liquid at the column exit on solute free basis.ⓘ Solute Free Mole Fraction of Liquid in Outlet [X_N]			+10% -10%
✖The Solute Free Mole Fraction of Liquid in Inlet is the mole fraction of the solute in the solvent (liquid) in inlet of the column on solute free basis.ⓘ Solute Free Mole Fraction of Liquid in Inlet [X₀]			+10% -10%

✖The Gas Flowrate on Solute Free Basis is defined as the Inlet Gas Flowrate on solute free basis to the absorption column.ⓘ Gas Flowrate for Absorption Column on Solute Free Basis [G_s]

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Gas Flowrate for Absorption Column on Solute Free Basis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/(Solute Free Mole Fraction of Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet))
G_s = L_s/((Y_N+1-Y₁)/(X_N-X₀))
This formula uses 6 Variables

Variables Used

Gas Flowrate on Solute Free Basis - (Measured in Mole per Second) - The Gas Flowrate on Solute Free Basis is defined as the Inlet Gas Flowrate on solute free basis to the absorption column.
Liquid Flowrate on Solute Free Basis - (Measured in Mole per Second) - The Liquid Flowrate on Solute Free Basis is defined as the Inlet Liquid Flowrate on solute free basis to the absorption column.
Solute Free Mole Fraction of Gas in Inlet - The Solute Free Mole Fraction of Gas in Inlet is the mole fraction of the Solute in the Gas stream entering the column on solute free basis.
Solute Free Mole Fraction of Gas in Outlet - The Solute Free Mole Fraction of Gas in Outlet is the mole fraction of the solute in the exit gas stream of the column on solute free basis.
Solute Free Mole Fraction of Liquid in Outlet - The Solute Free Mole Fraction of Liquid in Outlet is the Mole fraction of the solute in the liquid at the column exit on solute free basis.
Solute Free Mole Fraction of Liquid in Inlet - The Solute Free Mole Fraction of Liquid in Inlet is the mole fraction of the solute in the solvent (liquid) in inlet of the column on solute free basis.

STEP 1: Convert Input(s) to Base Unit

Liquid Flowrate on Solute Free Basis: 23 Mole per Second --> 23 Mole per Second No Conversion Required
Solute Free Mole Fraction of Gas in Inlet: 0.8 --> No Conversion Required
Solute Free Mole Fraction of Gas in Outlet: 0.1 --> No Conversion Required
Solute Free Mole Fraction of Liquid in Outlet: 0.3 --> No Conversion Required
Solute Free Mole Fraction of Liquid in Inlet: 0.0099 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_s = L_s/((Y_N+1-Y₁)/(X_N-X₀)) --> 23/((0.8-0.1)/(0.3-0.0099))

Evaluating ... ...

G_s = 9.53185714285714

STEP 3: Convert Result to Output's Unit

9.53185714285714 Mole per Second --> No Conversion Required

FINAL ANSWER

9.53185714285714 ≈ 9.531857 Mole per Second <-- Gas Flowrate on Solute Free Basis

(Calculation completed in 00.008 seconds)

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< Gas Absorption Calculators

Number of Absorption Stages by Kremser Equation

LaTeX Go Number of Stages = log10(((Solute Free Mole Fraction of Gas in Inlet-(Equilibrium Constant for Mass Transfer*Solute Free Mole Fraction of Liquid in Inlet))/(Solute Free Mole Fraction of Gas in Outlet-(Equilibrium Constant for Mass Transfer*Solute Free Mole Fraction of Liquid in Inlet)))*(1-(1/Absorption Factor))+(1/Absorption Factor))/(log10(Absorption Factor))

Minimum Operating Line Slope for Absorption Column

LaTeX Go Minimum Operating Line Slope of Absorption Column = (Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/((Solute Free Mole Fraction of Gas in Inlet/Equilibrium Constant for Mass Transfer)-Solute Free Mole Fraction of Liquid in Inlet)

Operating Line Slope for Absorption Column

LaTeX Go Operating Line Slope of Absorption Column = (Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/(Solute Free Mole Fraction of Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet)

Absorption Factor

LaTeX Go Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)

< Important Formulas in Gas Absorption and Stripping Calculators

Number of Stripping Stages by Kremser Equation

LaTeX Go Number of Stages = (log10(((Solute Free Mole Frac of Liquid in Stripping Inlet-(Solute Free Mole Frac of Gas in Stripping Inlet/Equilibrium Constant for Mass Transfer))/(Solute Free Mole Frac of Liquid in Stripping Out-(Solute Free Mole Frac of Gas in Stripping Inlet/Equilibrium Constant for Mass Transfer)))*(1-(1/Stripping Factor))+(1/Stripping Factor)))/(log10(Stripping Factor))

Stripping Factor

LaTeX Go Stripping Factor = (Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis for Stripping)/Liquid Flowrate on Solute Free Basis for Stripping

Absorption Factor

LaTeX Go Absorption Factor = Liquid Flowrate on Solute Free Basis/(Equilibrium Constant for Mass Transfer*Gas Flowrate on Solute Free Basis)

Stripping Factor given Absorption Factor

LaTeX Go Stripping Factor = 1/Absorption Factor

Gas Flowrate for Absorption Column on Solute Free Basis Formula

LaTeX Go

What are the factors to be considered for Solvent Selection ?

The factors to be considered are: 1. The gas solubility should be high, thus increasing the rate of absorption and decreasing the quantity of solvent required. 2. The solvent should have a low vapour pressure to reduce loss of solvent in the gas leaving an absorption column. 3. The materials of construction required for the equipment should not be unusual or expensive. 4. The solvent should be inexpensive, so that losses are not costly, and should be readily available. 5. Low viscosity is preferred for reasons of rapid absorption rates, improved flooding characteristics in packed column, low pressure drops on pumping, and good heat transfer characteristics. 6. The solvent should be non-toxic, non-flammable and chemically stable.

What is Gas Rate for Absorption Column ?

The Gas rate for absorption column is the amount of inlet gas that could be absorbed to a defined separation target for a fixed liquid flow rate. This gas flow rate is based on solute free basis. The gas rate can be maximized to the point where equilibrium curve touches the operating line, this is known as the maximum gas rate. As the gas flowrate increases the operating cost (cost of solvent required per unit gas treated) decreases for the fixed solvent rate, but the capital cost (cost of tower) increases as the number of stages required increases.

How to Calculate Gas Flowrate for Absorption Column on Solute Free Basis?

Gas Flowrate for Absorption Column on Solute Free Basis calculator uses Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/(Solute Free Mole Fraction of Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet)) to calculate the Gas Flowrate on Solute Free Basis, The Gas Flowrate for Absorption Column on Solute Free Basis formula is defined as the gas rate required for a defined target of separation to be achieved on the solute free basis. Gas Flowrate on Solute Free Basis is denoted by G_s symbol.

How to calculate Gas Flowrate for Absorption Column on Solute Free Basis using this online calculator? To use this online calculator for Gas Flowrate for Absorption Column on Solute Free Basis, enter Liquid Flowrate on Solute Free Basis (L_s), Solute Free Mole Fraction of Gas in Inlet (Y_N+1), Solute Free Mole Fraction of Gas in Outlet (Y₁), Solute Free Mole Fraction of Liquid in Outlet (X_N) & Solute Free Mole Fraction of Liquid in Inlet (X₀) and hit the calculate button. Here is how the Gas Flowrate for Absorption Column on Solute Free Basis calculation can be explained with given input values -> 9.528571 = 23/((0.8-0.1)/(0.3-0.0099)).

FAQ

What is Gas Flowrate for Absorption Column on Solute Free Basis?

The Gas Flowrate for Absorption Column on Solute Free Basis formula is defined as the gas rate required for a defined target of separation to be achieved on the solute free basis and is represented as G_s = L_s/((Y_N+1-Y₁)/(X_N-X₀)) or Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/(Solute Free Mole Fraction of Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet)). The Liquid Flowrate on Solute Free Basis is defined as the Inlet Liquid Flowrate on solute free basis to the absorption column, The Solute Free Mole Fraction of Gas in Inlet is the mole fraction of the Solute in the Gas stream entering the column on solute free basis, The Solute Free Mole Fraction of Gas in Outlet is the mole fraction of the solute in the exit gas stream of the column on solute free basis, The Solute Free Mole Fraction of Liquid in Outlet is the Mole fraction of the solute in the liquid at the column exit on solute free basis & The Solute Free Mole Fraction of Liquid in Inlet is the mole fraction of the solute in the solvent (liquid) in inlet of the column on solute free basis.

How to calculate Gas Flowrate for Absorption Column on Solute Free Basis?

The Gas Flowrate for Absorption Column on Solute Free Basis formula is defined as the gas rate required for a defined target of separation to be achieved on the solute free basis is calculated using Gas Flowrate on Solute Free Basis = Liquid Flowrate on Solute Free Basis/((Solute Free Mole Fraction of Gas in Inlet-Solute Free Mole Fraction of Gas in Outlet)/(Solute Free Mole Fraction of Liquid in Outlet-Solute Free Mole Fraction of Liquid in Inlet)). To calculate Gas Flowrate for Absorption Column on Solute Free Basis, you need Liquid Flowrate on Solute Free Basis (L_s), Solute Free Mole Fraction of Gas in Inlet (Y_N+1), Solute Free Mole Fraction of Gas in Outlet (Y₁), Solute Free Mole Fraction of Liquid in Outlet (X_N) & Solute Free Mole Fraction of Liquid in Inlet (X₀). With our tool, you need to enter the respective value for Liquid Flowrate on Solute Free Basis, Solute Free Mole Fraction of Gas in Inlet, Solute Free Mole Fraction of Gas in Outlet, Solute Free Mole Fraction of Liquid in Outlet & Solute Free Mole Fraction of Liquid in Inlet 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 Gas Flowrate on Solute Free Basis?

In this formula, Gas Flowrate on Solute Free Basis uses Liquid Flowrate on Solute Free Basis, Solute Free Mole Fraction of Gas in Inlet, Solute Free Mole Fraction of Gas in Outlet, Solute Free Mole Fraction of Liquid in Outlet & Solute Free Mole Fraction of Liquid in Inlet. We can use 2 other way(s) to calculate the same, which is/are as follows -

Gas Flowrate on Solute Free Basis = Inlet Gas Flowrate*(1-Gas Inlet Mole Fraction)
Gas Flowrate on Solute Free Basis = Inlet Gas Flowrate/(1+Solute Free Mole Fraction of Gas in Inlet)

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