Total volume of gas adsorbed at equilibrium by BET equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
VTotal = (Vmono*C*(Pv/P0))/((Pv-(Pv/P0))*(1+(C*(Pv/P0)))-(Pv/P0))
This formula uses 5 Variables
Variables Used
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.
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.
Adsorbent constant - The Adsorbent constant is a constant for a given adsorbent and is different for every adsorbent.
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 vapor pressure at a, particularly given temperature.
STEP 1: Convert Input(s) to Base Unit
Monolayer volume of gas: 50 Liter --> 0.05 Cubic Meter (Check conversion here)
Adsorbent constant: 2 --> No Conversion Required
Vapour pressure: 5 Pascal --> 5 Pascal No Conversion Required
Saturated vapor pressure of gas: 20 Pascal --> 20 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VTotal = (Vmono*C*(Pv/P0))/((Pv-(Pv/P0))*(1+(C*(Pv/P0)))-(Pv/P0)) --> (0.05*2*(5/20))/((5-(5/20))*(1+(2*(5/20)))-(5/20))
Evaluating ... ...
VTotal = 0.00363636363636364
STEP 3: Convert Result to Output's Unit
0.00363636363636364 Cubic Meter -->3.63636363636364 Liter (Check conversion here)
FINAL ANSWER
3.63636363636364 Liter <-- Total equilibrium volume of gas
(Calculation completed in 00.031 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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2 BET adsorption isotherm Calculators

Total volume of gas adsorbed at equilibrium by BET equation
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)) Go
Volume of monolayer gas by BET equation
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)) Go

Total volume of gas adsorbed at equilibrium by BET equation 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))
VTotal = (Vmono*C*(Pv/P0))/((Pv-(Pv/P0))*(1+(C*(Pv/P0)))-(Pv/P0))

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 Total volume of gas adsorbed at equilibrium by BET equation?

Total volume of gas adsorbed at equilibrium by BET equation calculator 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 calculate 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 VTotal symbol.

How to calculate Total volume of gas adsorbed at equilibrium by BET equation using this online calculator? To use this online calculator for Total volume of gas adsorbed at equilibrium by BET equation, enter Monolayer volume of gas (Vmono), Adsorbent constant (C), Vapour pressure (Pv) & Saturated vapor pressure of gas (P0) and hit the calculate button. Here is how the Total volume of gas adsorbed at equilibrium by BET equation calculation can be explained with given input values -> 3.636364 = (0.05*2*(5/20))/((5-(5/20))*(1+(2*(5/20)))-(5/20)).

FAQ

What is Total volume of gas adsorbed at equilibrium by BET equation?
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 and is represented as VTotal = (Vmono*C*(Pv/P0))/((Pv-(Pv/P0))*(1+(C*(Pv/P0)))-(Pv/P0)) or 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)). The Monolayer volume of gas is the volume required to cover the unit mass of adsorbent with unimolecular layer, The Adsorbent constant is a constant for a given adsorbent and is different for every adsorbent, 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 vapor pressure at a, particularly given temperature.
How to calculate Total volume of gas adsorbed at equilibrium by BET equation?
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 is calculated using 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 calculate Total volume of gas adsorbed at equilibrium by BET equation, you need Monolayer volume of gas (Vmono), Adsorbent constant (C), Vapour pressure (Pv) & Saturated vapor pressure of gas (P0). With our tool, you need to enter the respective value for Monolayer volume of gas, Adsorbent constant, Vapour pressure & Saturated vapor pressure 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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