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Total Volume of Gas Adsorbed at Equilibrium by BET Equation Formula

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The Total Equilibrium Volume of Gas is the amount of gas adsorbed per unit mass of adsorbent at a pressure P and constant temperature. Check FAQs

V total = \frac{V mono \cdot C \cdot (\frac{P v}{P 0})}{(P v - (\frac{P v}{P 0})) \cdot (1 + (C \cdot (\frac{P v}{P 0}))) - (\frac{P v}{P 0})}

V_total - Total Equilibrium Volume of Gas?V_mono - Monolayer Volume of Gas?C - Adsorbent Constant?P_v - Vapour Pressure?P₀ - Saturated Vapor Pressure of Gas?

Total Volume of Gas Adsorbed at Equilibrium by BET Equation Example

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Here is how the Total Volume of Gas Adsorbed at Equilibrium by BET Equation equation looks like with Values.

Here is how the Total Volume of Gas Adsorbed at Equilibrium by BET Equation equation looks like with Units.

Here is how the Total Volume of Gas Adsorbed at Equilibrium by BET Equation equation looks like.

998.5352 = \frac{15192 \cdot 2 \cdot (\frac{6}{21})}{(6 - (\frac{6}{21})) \cdot (1 + (2 \cdot (\frac{6}{21}))) - (\frac{6}{21})}

998.5352L = \frac{15192L \cdot 2 \cdot (\frac{6Pa}{21Pa})}{(6Pa - (\frac{6Pa}{21Pa})) \cdot (1 + (2 \cdot (\frac{6Pa}{21Pa}))) - (\frac{6Pa}{21Pa})}

998.5352 = \frac{15192 \cdot 2 \cdot (\frac{6}{21})}{(6 - (\frac{6}{21})) \cdot (1 + (2 \cdot (\frac{6}{21}))) - (\frac{6}{21})}

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Total Volume of Gas Adsorbed at Equilibrium by BET Equation Solution

Follow our step by step solution on how to calculate Total Volume of Gas Adsorbed at Equilibrium by BET Equation?

FIRST Step Consider the formula

V total = \frac{V mono \cdot C \cdot (\frac{P v}{P 0})}{(P v - (\frac{P v}{P 0})) \cdot (1 + (C \cdot (\frac{P v}{P 0}))) - (\frac{P v}{P 0})}

Next Step Substitute values of Variables

∴

V total = \frac{15192L \cdot 2 \cdot (\frac{6Pa}{21Pa})}{(6Pa - (\frac{6Pa}{21Pa})) \cdot (1 + (2 \cdot (\frac{6Pa}{21Pa}))) - (\frac{6Pa}{21Pa})}

Next Step Convert Units

∴

V total = \frac{15.192m³ \cdot 2 \cdot (\frac{6Pa}{21Pa})}{(6Pa - (\frac{6Pa}{21Pa})) \cdot (1 + (2 \cdot (\frac{6Pa}{21Pa}))) - (\frac{6Pa}{21Pa})}

Next Step Prepare to Evaluate

∴

V total = \frac{15.192 \cdot 2 \cdot (\frac{6}{21})}{(6 - (\frac{6}{21})) \cdot (1 + (2 \cdot (\frac{6}{21}))) - (\frac{6}{21})}

Next Step Evaluate

∴

V total = 0.998535211267606m³

Next Step Convert to Output's Unit

∴

V total = 998.535211267606L

LAST Step Rounding Answer

∴

V total = 998.5352L

Total Volume of Gas Adsorbed at Equilibrium by BET Equation Formula Elements

Variables

Total Equilibrium Volume of Gas

The Total Equilibrium Volume of Gas is the amount of gas adsorbed per unit mass of adsorbent at a pressure P and constant temperature.

Symbol: V_total

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Total Equilibrium Volume of Gas

Monolayer Volume of Gas

The Monolayer Volume of Gas is the volume required to cover the unit mass of adsorbent with unimolecular layer.

Symbol: V_mono

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Monolayer Volume of Gas

Adsorbent Constant

The Adsorbent Constant is a constant for a given adsorbent and is different for every adsorbent.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Adsorbent Constant

Vapour Pressure

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.

Symbol: P_v

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Vapour Pressure

Saturated Vapor Pressure of Gas

The Saturated Vapor Pressure of Gas is standard vapour pressure at a, particularly given temperature.

Symbol: P₀

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Saturated Vapor Pressure of Gas

Other formulas in BET Adsorption Isotherm category

Go Mass of Adsorbent for Langmuir Adsorption

m L = \frac{x gas \cdot (1 + k \cdot P gas)}{k \cdot P gas}

Go Mass of Gas Adsorbed in grams for Langmuir Adsorption

x gas = \frac{m L \cdot k \cdot P gas}{1 + (k \cdot P gas)}

Go Surface Area of Adsorbent Covered

θ = \frac{k \cdot P gas}{1 + (k \cdot P gas)}

Go Adsorption constant k using Freundlich Adsorption Constant

k = \frac{x gas}{m \cdot {P gas}^{\frac{1}{n}}}

How to Evaluate Total Volume of Gas Adsorbed at Equilibrium by BET Equation?

Total Volume of Gas Adsorbed at Equilibrium by BET Equation evaluator uses 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)) to evaluate the Total Equilibrium Volume of Gas, The Total Volume of Gas Adsorbed at Equilibrium by BET Equation formula is defined as the equilibrium volume of gas adsorbed per unit mass of adsorbent at pressure P and constant temperature T. Total Equilibrium Volume of Gas is denoted by V_total symbol.

How to evaluate Total Volume of Gas Adsorbed at Equilibrium by BET Equation using this online evaluator? To use this online evaluator for Total Volume of Gas Adsorbed at Equilibrium by BET Equation, enter Monolayer Volume of Gas (V_mono), Adsorbent Constant (C), Vapour Pressure (P_v) & Saturated Vapor Pressure of Gas (P₀) and hit the calculate button.

FAQs on Total Volume of Gas Adsorbed at Equilibrium by BET Equation

What is the formula to find Total Volume of Gas Adsorbed at Equilibrium by BET Equation?

The formula of Total Volume of Gas Adsorbed at Equilibrium by BET Equation is expressed as 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)). Here is an example- 998535.2 = (15.192*2*(6/21))/((6-(6/21))*(1+(2*(6/21)))-(6/21)).

How to calculate Total Volume of Gas Adsorbed at Equilibrium by BET Equation?

With Monolayer Volume of Gas (V_mono), Adsorbent Constant (C), Vapour Pressure (P_v) & Saturated Vapor Pressure of Gas (P₀) we can find Total Volume of Gas Adsorbed at Equilibrium by BET Equation using the formula - 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)).

Can the Total Volume of Gas Adsorbed at Equilibrium by BET Equation be negative?

Yes, the Total Volume of Gas Adsorbed at Equilibrium by BET Equation, measured in Volume can be negative.

Which unit is used to measure Total Volume of Gas Adsorbed at Equilibrium by BET Equation?

Total Volume of Gas Adsorbed at Equilibrium by BET Equation is usually measured using the Liter[L] for Volume. Cubic Meter[L], Cubic Centimeter[L], Cubic Millimeter[L] are the few other units in which Total Volume of Gas Adsorbed at Equilibrium by BET Equation can be measured.

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Total Volume of Gas Adsorbed at Equilibrium by BET Equation Formula

Total Volume of Gas Adsorbed at Equilibrium by BET Equation Example

Total Volume of Gas Adsorbed at Equilibrium by BET Equation Solution

Total Volume of Gas Adsorbed at Equilibrium by BET Equation Formula Elements

Other formulas in BET Adsorption Isotherm category

How to Evaluate Total Volume of Gas Adsorbed at Equilibrium by BET Equation?

FAQs on Total Volume of Gas Adsorbed at Equilibrium by BET Equation

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