Volume of Monolayer Gas by BET Equation Calculator

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BET Adsorption Isotherm

Capillarity and Surface Forces in Liquids (Curved Surfaces)

Colloidal Structures in Surfactant Solutions

Freundlich adsorption isotherm

Important Formulas of Adsorption Isotherm

Important Formulas of Colloids

Important Formulas on Surface Tension

Langmuir Adsorption Isotherm

✖The Vapour pressure is a measure of the tendency of a material to change into the gaseous or vapour state, and it increases with temperature.ⓘ Vapour Pressure [P_v]			+10% -10%
✖The Saturated Vapor Pressure of Gas is standard vapour pressure at a, particularly given temperature.ⓘ Saturated Vapor Pressure of Gas [P₀]			+10% -10%
✖The Adsorbent Constant is a constant for a given adsorbent and is different for every adsorbent.ⓘ Adsorbent Constant [C]			+10% -10%
✖The Total Equilibrium Volume of Gas is the amount of gas adsorbed per unit mass of adsorbent at a pressure P and constant temperature.ⓘ Total Equilibrium Volume of Gas [V_total]			+10% -10%

✖The Monolayer Volume of Gas is the volume required to cover the unit mass of adsorbent with unimolecular layer.ⓘ Volume of Monolayer Gas by BET Equation [V_mono]

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Volume of Monolayer Gas by BET Equation

Formula

`"V"_{"mono"} = (("P"_{"v"}-("P"_{"v"}/"P"_{"0"}))*(1+("C"*("P"_{"v"}/"P"_{"0"})))-("P"_{"v"}/"P"_{"0"})*"V"_{"total"})/("C"*("P"_{"v"}/"P"_{"0"}))`

Example

`"15215.29L"=(("6Pa"-("6Pa"/"21Pa"))*(1+("2"*("6Pa"/"21Pa")))-("6Pa"/"21Pa")*"998L")/("2"*("6Pa"/"21Pa"))`

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Volume of Monolayer Gas by BET Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Monolayer Volume of Gas = ((Vapour Pressure-(Vapour Pressure/Saturated Vapor Pressure of Gas))*(1+(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)))-(Vapour Pressure/Saturated Vapor Pressure of Gas)*Total Equilibrium Volume of Gas)/(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas))
V_mono = ((P_v-(P_v/P₀))*(1+(C*(P_v/P₀)))-(P_v/P₀)*V_total)/(C*(P_v/P₀))
This formula uses 5 Variables

Variables Used

Monolayer Volume of Gas - (Measured in Cubic Meter) - The Monolayer Volume of Gas is the volume required to cover the unit mass of adsorbent with unimolecular layer.
Vapour Pressure - (Measured in Pascal) - The Vapour pressure is a measure of the tendency of a material to change into the gaseous or vapour state, and it increases with temperature.
Saturated Vapor Pressure of Gas - (Measured in Pascal) - The Saturated Vapor Pressure of Gas is standard vapour pressure at a, particularly given temperature.
Adsorbent Constant - The Adsorbent Constant is a constant for a given adsorbent and is different for every adsorbent.
Total Equilibrium Volume of Gas - (Measured in Cubic Meter) - The Total Equilibrium Volume of Gas is the amount of gas adsorbed per unit mass of adsorbent at a pressure P and constant temperature.

STEP 1: Convert Input(s) to Base Unit

Vapour Pressure: 6 Pascal --> 6 Pascal No Conversion Required
Saturated Vapor Pressure of Gas: 21 Pascal --> 21 Pascal No Conversion Required
Adsorbent Constant: 2 --> No Conversion Required
Total Equilibrium Volume of Gas: 998 Liter --> 0.998 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mono = ((P_v-(P_v/P₀))*(1+(C*(P_v/P₀)))-(P_v/P₀)*V_total)/(C*(P_v/P₀)) --> ((6-(6/21))*(1+(2*(6/21)))-(6/21)*0.998)/(2*(6/21))

Evaluating ... ...

V_mono = 15.2152857142857

STEP 3: Convert Result to Output's Unit

15.2152857142857 Cubic Meter -->15215.2857142857 Liter (Check conversion here)

FINAL ANSWER

15215.2857142857 ≈ 15215.29 Liter <-- Monolayer Volume of Gas

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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National Institute of Information Technology (NIIT), Neemrana

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< 3 BET Adsorption Isotherm Calculators

Total Volume of Gas Adsorbed at Equilibrium by BET Equation

Go Total Equilibrium Volume of Gas = (Monolayer Volume of Gas*Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas))/((Vapour Pressure-(Vapour Pressure/Saturated Vapor Pressure of Gas))*(1+(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)))-(Vapour Pressure/Saturated Vapor Pressure of Gas))

Volume of Monolayer Gas by BET Equation

Go Monolayer Volume of Gas = ((Vapour Pressure-(Vapour Pressure/Saturated Vapor Pressure of Gas))*(1+(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)))-(Vapour Pressure/Saturated Vapor Pressure of Gas)*Total Equilibrium Volume of Gas)/(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas))

Van Der Waals Interaction Energy

Go Van der Waals Interaction Energy = -(Hamaker Coefficient)/(12*pi*(Surface Separation)^2)

< 11 Important Formulas of Adsorption Isotherm Calculators

Total Volume of Gas Adsorbed at Equilibrium by BET Equation

Volume of Monolayer Gas by BET Equation

Mass of Gas Adsorbed in grams for Langmuir Adsorption

Go Mass of Gas Adsorbed = (Mass of Adsorbent for Langmuir Adsorption*Adsorption Constant*Pressure of Gas)/(1+(Adsorption Constant*Pressure of Gas))

Mass of Adsorbent for Langmuir Adsorption

Go Mass of Adsorbent for Langmuir Adsorption = (Mass of Gas Adsorbed*(1+Adsorption Constant*Pressure of Gas))/(Adsorption Constant*Pressure of Gas)

Equilibrium Pressure of Gaseous Adsorbate using Freundlich Equation

Go Equilibrium Pressure of the Gaseous Adsorbate = ((Mass of Adsorbate/(Mass of Adsorbent*Adsorption Constant))^Freundlich Adsorption Constant)

Equilibrium Concentration of Aqueous Adsorbate using Freundlich Equation

Go Equilibrium Concentration of Aqueous Adsorbate = (Mass of Adsorbate/(Mass of Adsorbent*Adsorption Constant)^Freundlich Adsorption Constant)

Surface Area of Adsorbent Covered

Go Surface Area of Adsorbent covered = (Adsorption Constant*Pressure of Gas)/(1+(Adsorption Constant*Pressure of Gas))

Adsorption constant k using Freundlich Adsorption Constant

Go Adsorption Constant = Mass of Gas Adsorbed/(Mass of Adsorbent*Pressure of Gas^(1/Freundlich Adsorption Constant))

Mass of Adsorbent using Freundlich Adsorption Isotherm

Go Mass of Adsorbent = Mass of Gas Adsorbed/(Adsorption Constant*Pressure of Gas^(1/Freundlich Adsorption Constant))

Mass of Gas Adsorbed

Go Mass of Gas Adsorbed = Mass of Adsorbent*Adsorption Constant*Pressure of Gas^(1/Freundlich Adsorption Constant)

Van Der Waals Interaction Energy

Go Van der Waals Interaction Energy = -(Hamaker Coefficient)/(12*pi*(Surface Separation)^2)

Volume of Monolayer Gas by BET Equation Formula

What is BET theory?

The BET theory (abbreviated from Brunner-Emmett-Teller theory) is used to measure the surface area of solid or porous materials. It gives important information on their physical structure as the area of a material’s surface affects how that solid will interact with its environment. Many properties such as dissolution rates, catalytic activity, moisture retention, and shelf life are often correlated to a material’s surface area. Critical to the design and manufacture of solids, surface area analysis is one of the most widely used methods in material characterization. This article gives insight into the procedure of BET surface analysis and its application in industry.

How to Calculate Volume of Monolayer Gas by BET Equation?

Volume of Monolayer Gas by BET Equation calculator uses Monolayer Volume of Gas = ((Vapour Pressure-(Vapour Pressure/Saturated Vapor Pressure of Gas))*(1+(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)))-(Vapour Pressure/Saturated Vapor Pressure of Gas)*Total Equilibrium Volume of Gas)/(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)) to calculate the Monolayer Volume of Gas, The Volume of Monolayer Gas by BET Equation formula is defined as volume of the gas required to cover the unit mass of adsorbent with the unimolecular layer. Monolayer Volume of Gas is denoted by V_mono symbol.

How to calculate Volume of Monolayer Gas by BET Equation using this online calculator? To use this online calculator for Volume of Monolayer Gas by BET Equation, enter Vapour Pressure (P_v), Saturated Vapor Pressure of Gas (P₀), Adsorbent Constant (C) & Total Equilibrium Volume of Gas (V_total) and hit the calculate button. Here is how the Volume of Monolayer Gas by BET Equation calculation can be explained with given input values -> 1.6E+7 = ((6-(6/21))*(1+(2*(6/21)))-(6/21)*0.998)/(2*(6/21)).

FAQ

What is Volume of Monolayer Gas by BET Equation?

The Volume of Monolayer Gas by BET Equation formula is defined as volume of the gas required to cover the unit mass of adsorbent with the unimolecular layer and is represented as V_mono = ((P_v-(P_v/P₀))*(1+(C*(P_v/P₀)))-(P_v/P₀)*V_total)/(C*(P_v/P₀)) or Monolayer Volume of Gas = ((Vapour Pressure-(Vapour Pressure/Saturated Vapor Pressure of Gas))*(1+(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)))-(Vapour Pressure/Saturated Vapor Pressure of Gas)*Total Equilibrium Volume of Gas)/(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)). The Vapour pressure is a measure of the tendency of a material to change into the gaseous or vapour state, and it increases with temperature, The Saturated Vapor Pressure of Gas is standard vapour pressure at a, particularly given temperature, The Adsorbent Constant is a constant for a given adsorbent and is different for every adsorbent & The Total Equilibrium Volume of Gas is the amount of gas adsorbed per unit mass of adsorbent at a pressure P and constant temperature.

How to calculate Volume of Monolayer Gas by BET Equation?

The Volume of Monolayer Gas by BET Equation formula is defined as volume of the gas required to cover the unit mass of adsorbent with the unimolecular layer is calculated using Monolayer Volume of Gas = ((Vapour Pressure-(Vapour Pressure/Saturated Vapor Pressure of Gas))*(1+(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)))-(Vapour Pressure/Saturated Vapor Pressure of Gas)*Total Equilibrium Volume of Gas)/(Adsorbent Constant*(Vapour Pressure/Saturated Vapor Pressure of Gas)). To calculate Volume of Monolayer Gas by BET Equation, you need Vapour Pressure (P_v), Saturated Vapor Pressure of Gas (P₀), Adsorbent Constant (C) & Total Equilibrium Volume of Gas (V_total). With our tool, you need to enter the respective value for Vapour Pressure, Saturated Vapor Pressure of Gas, Adsorbent Constant & Total Equilibrium Volume of Gas 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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