Logarithmic Mean Partial Pressure Difference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1))
Pbm = (Pb2-Pb1)/(ln(Pb2/Pb1))
This formula uses 1 Functions, 3 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Logarithmic Mean Partial Pressure Difference - (Measured in Pascal) - Logarithmic Mean Partial Pressure Difference is defined as the log of mean of partial pressures of a component in different mixtures.
Partial Pressure of Component B in Mixture 2 - (Measured in Pascal) - Partial Pressure of Component B in Mixture 2 is the partial pressure of the gas in mixture 2.
Partial Pressure of Component B in Mixture 1 - (Measured in Pascal) - Partial Pressure of Component B in Mixture 1 is the partial pressure of the gas in the mixture 1.
STEP 1: Convert Input(s) to Base Unit
Partial Pressure of Component B in Mixture 2: 10500 Pascal --> 10500 Pascal No Conversion Required
Partial Pressure of Component B in Mixture 1: 11000 Pascal --> 11000 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pbm = (Pb2-Pb1)/(ln(Pb2/Pb1)) --> (10500-11000)/(ln(10500/11000))
Evaluating ... ...
Pbm = 10748.0617359245
STEP 3: Convert Result to Output's Unit
10748.0617359245 Pascal --> No Conversion Required
FINAL ANSWER
10748.0617359245 10748.06 Pascal <-- Logarithmic Mean Partial Pressure Difference
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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17 Molar Diffusion Calculators

Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of A
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*ln((Total Pressure of Gas-Partial Pressure of Component A in 2)/(Total Pressure of Gas-Partial Pressure of Component A in 1))
Molar Flux of Diffusing Component A through Non-Diffusing B based on Log Mean Partial Pressure
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*((Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)/Log Mean Partial Pressure of B)
Mass Diffusing Rate through Hollow Cylinder with Solid Boundary
Go Mass Diffusing Rate = (2*pi*Diffusion Coefficient*Length of Cylinder*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2))/ln(Outer Radius of Cylinder/Inner Radius of Cylinder)
Molar Flux of Diffusing Component A through Non-Diffusing B based on Partial Pressure of B
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*ln(Partial Pressure of Component B in 2/Partial Pressure of Component B in 1)
Mass Diffusing Rate through Solid Boundary Sphere
Go Mass Diffusing Rate = (4*pi*Inner Radius*Outer Radius*Diffusion Coefficient*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2))/(Outer Radius-Inner Radius)
Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Mole Fraction of A
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/([R]*Temperature of Gas*Film Thickness))*(Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)
Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMPP
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*(Total Pressure of Gas^2))/(Film Thickness))*((Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/Log Mean Partial Pressure of B)
Molar Flux of Diffusing Component A through Non-Diffusing B based on Concentration of A
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*((Concentration of Component A in 1-Concentration of Component A in 2)/Log Mean Partial Pressure of B)
Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A and LMMF
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*((Mole Fraction of Component A in 1-Mole Fraction of Component A in 2)/Log Mean Mole Fraction of B)
Logarithmic Mean Partial Pressure Difference
Go Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1))
Logarithmic Mean of Concentration Difference
Go Logarithmic Mean of Concentration Difference = (Concentration of Component B in Mixture 2-Concentration of Component B in Mixture 1)/ln(Concentration of Component B in Mixture 2/Concentration of Component B in Mixture 1)
Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of A
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*ln((1-Mole Fraction of Component A in 2)/(1-Mole Fraction of Component A in 1))
Molar Flux of Diffusing Component A for Equimolar Diffusion with B based on Partial Pressure of A
Go Molar Flux of Diffusing Component A = (Diffusion Coefficient (DAB)/([R]*Temperature of Gas*Film Thickness))*(Partial Pressure of Component A in 1-Partial Pressure of Component A in 2)
Molar Flux of Diffusing Component A through Non-Diffusing B based on Mole Fractions of B
Go Molar Flux of Diffusing Component A = ((Diffusion Coefficient (DAB)*Total Pressure of Gas)/(Film Thickness))*ln(Mole Fraction of Component B in 2/Mole Fraction of Component B in 1)
Mass Diffusing Rate through Solid Boundary Plate
Go Mass Diffusing Rate = (Diffusion Coefficient*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)*Area of Solid Boundary Plate)/Thickness of Solid Plate
Convective Mass Transfer Coefficient
Go Convective Mass Transfer Coefficient = Mass Flux of Diffusion Component A/(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)
Total Concentration
Go Total Concentration = Concentration of A+Concentration of B

4 Mass Transfer Driving Force Calculators

Logarithmic Mean Partial Pressure Difference
Go Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1))
Logarithmic Mean of Concentration Difference
Go Logarithmic Mean of Concentration Difference = (Concentration of Component B in Mixture 2-Concentration of Component B in Mixture 1)/ln(Concentration of Component B in Mixture 2/Concentration of Component B in Mixture 1)
Partial Pressure using Raoult's Law
Go Equilibrium Partial Pressure A = Mole Fraction of Component A in Liquid Phase*Vapor Pressure of Pure Component A
Total Concentration
Go Total Concentration = Concentration of A+Concentration of B

25 Important Formulas in Mass Transfer Coefficient, Driving Force and Theories Calculators

Convective Mass Transfer Coefficient through Liquid Gas Interface
Go Convective Mass Transfer Coefficient = (Mass Transfer Coefficient of Medium 1*Mass Transfer Coefficient of Medium 2*Henry's Constant)/((Mass Transfer Coefficient of Medium 1*Henry's Constant)+(Mass Transfer Coefficient of Medium 2))
Logarithmic Mean Partial Pressure Difference
Go Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1))
Logarithmic Mean of Concentration Difference
Go Logarithmic Mean of Concentration Difference = (Concentration of Component B in Mixture 2-Concentration of Component B in Mixture 1)/ln(Concentration of Component B in Mixture 2/Concentration of Component B in Mixture 1)
Convective Mass Transfer Coefficient
Go Convective Mass Transfer Coefficient = Mass Flux of Diffusion Component A/(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)
Liquid Phase Mass Transfer Coefficient by Two Film Theory
Go Overall Liquid Phase Mass Transfer Coefficient = 1/((1/(Gas Phase Mass Transfer Coefficient*Henry's Constant))+(1/Liquid Phase Mass Transfer Coefficient))
Convective Mass Transfer Coefficient for Simultaneous Heat and Mass Transfer
Go Convective Mass Transfer Coefficient = Heat Transfer Coefficient/(Specific Heat*Density of Liquid*(Lewis Number^0.67))
Gas Phase Mass Transfer Coefficient by Two Film Theory
Go Overall Gas Phase Mass Transfer Coefficient = 1/((1/Gas Phase Mass Transfer Coefficient)+(Henry's Constant/Liquid Phase Mass Transfer Coefficient))
Heat Transfer Coefficient for Simultaneous Heat and Mass Transfer
Go Heat Transfer Coefficient = Convective Mass Transfer Coefficient*Density of Liquid*Specific Heat*(Lewis Number^0.67)
Average Mass Transfer Coefficient by Penetration Theory
Go Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time))
Convective Mass Transfer Coefficient of Flat Plate in Combined Laminar Turbulent Flow
Go Convective Mass Transfer Coefficient = (0.0286*Free Stream Velocity)/((Reynolds Number^0.2)*(Schmidt Number^0.67))
Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Reynolds Number
Go Convective Mass Transfer Coefficient = (Free Stream Velocity*0.322)/((Reynolds Number^0.5)*(Schmidt Number^0.67))
Fractional Resistance Offered by Liquid Phase
Go Fractional Resistance Offered by Liquid Phase = (1/Liquid Phase Mass Transfer Coefficient)/(1/Overall Liquid Phase Mass Transfer Coefficient)
Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Drag Coefficient
Go Convective Mass Transfer Coefficient = (Drag Coefficient*Free Stream Velocity)/(2*(Schmidt Number^0.67))
Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Friction Factor
Go Convective Mass Transfer Coefficient = (Friction Factor*Free Stream Velocity)/(8*(Schmidt Number^0.67))
Liquid Phase Mass Transfer Coefficient using Fractional Resistance by Liquid Phase
Go Liquid Phase Mass Transfer Coefficient = Overall Liquid Phase Mass Transfer Coefficient/Fractional Resistance Offered by Liquid Phase
Fractional Resistance Offered by Gas Phase
Go Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient)
Gas Phase Mass Transfer Coefficient using Fractional Resistance by Gas Phase
Go Gas Phase Mass Transfer Coefficient = Overall Gas Phase Mass Transfer Coefficient/Fractional Resistance Offered by Gas Phase
Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow
Go Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333))
Mass Transfer Stanton Number
Go Mass Transfer Stanton Number = Convective Mass Transfer Coefficient/Free Stream Velocity
Average Sherwood Number of Combined Laminar and Turbulent Flow
Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)
Local Sherwood Number for Flat Plate in Turbulent Flow
Go Local Sherwood Number = 0.0296*(Local Reynolds Number^0.8)*(Schmidt Number^0.333)
Local Sherwood Number for Flat Plate in Laminar Flow
Go Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333)
Average Sherwood Number of Internal Turbulent Flow
Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)
Sherwood Number for Flat Plate in Laminar Flow
Go Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)
Average Sherwood Number of Flat Plate Turbulent Flow
Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

Logarithmic Mean Partial Pressure Difference Formula

Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1))
Pbm = (Pb2-Pb1)/(ln(Pb2/Pb1))

What is partial pressure?

Partial Pressure is defined as if a container filled with more than one gas, each gas exerts pressure. The pressure of any one gas within the container is called its partial pressure. Partial pressure is the measure of the thermodynamic activity of gas molecules. The gases diffuse and react based on their partial pressures and not concentrations in a gaseous mixture.

How to Calculate Logarithmic Mean Partial Pressure Difference?

Logarithmic Mean Partial Pressure Difference calculator uses Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1)) to calculate the Logarithmic Mean Partial Pressure Difference, The Logarithmic Mean Partial Pressure Difference formula is defined as the logarithmic average of partial pressure of a component between mixtures and is used to determine the concentration driving force for mass transfer in gas mixtures. Logarithmic Mean Partial Pressure Difference is denoted by Pbm symbol.

How to calculate Logarithmic Mean Partial Pressure Difference using this online calculator? To use this online calculator for Logarithmic Mean Partial Pressure Difference, enter Partial Pressure of Component B in Mixture 2 (Pb2) & Partial Pressure of Component B in Mixture 1 (Pb1) and hit the calculate button. Here is how the Logarithmic Mean Partial Pressure Difference calculation can be explained with given input values -> 10748.06 = (10500-11000)/(ln(10500/11000)).

FAQ

What is Logarithmic Mean Partial Pressure Difference?
The Logarithmic Mean Partial Pressure Difference formula is defined as the logarithmic average of partial pressure of a component between mixtures and is used to determine the concentration driving force for mass transfer in gas mixtures and is represented as Pbm = (Pb2-Pb1)/(ln(Pb2/Pb1)) or Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1)). Partial Pressure of Component B in Mixture 2 is the partial pressure of the gas in mixture 2 & Partial Pressure of Component B in Mixture 1 is the partial pressure of the gas in the mixture 1.
How to calculate Logarithmic Mean Partial Pressure Difference?
The Logarithmic Mean Partial Pressure Difference formula is defined as the logarithmic average of partial pressure of a component between mixtures and is used to determine the concentration driving force for mass transfer in gas mixtures is calculated using Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in Mixture 2-Partial Pressure of Component B in Mixture 1)/(ln(Partial Pressure of Component B in Mixture 2/Partial Pressure of Component B in Mixture 1)). To calculate Logarithmic Mean Partial Pressure Difference, you need Partial Pressure of Component B in Mixture 2 (Pb2) & Partial Pressure of Component B in Mixture 1 (Pb1). With our tool, you need to enter the respective value for Partial Pressure of Component B in Mixture 2 & Partial Pressure of Component B in Mixture 1 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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