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Logarithmic Mean Partial Pressure Difference Calculator

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✖The Partial Pressure of Component B in 2 is the variable which measures the partial pressure of component B in the mixture on the other side of the diffusing component.ⓘ Partial Pressure of Component B in 2 [P_b2]			+10% -10%
✖The Partial Pressure of Component B in 1 is the variable which measures the partial pressure of component B in the mixture on the feed side of the diffusing component.ⓘ Partial Pressure of Component B in 1 [P_b1]			+10% -10%

✖Logarithmic Mean Partial Pressure Difference is defined as the log of mean of partial pressures of a component in different mixtures.ⓘ Logarithmic Mean Partial Pressure Difference [P_bm]

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Formula

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Logarithmic Mean Partial Pressure Difference

Formula

P bm = \frac{P b2 - P b1}{\ln (\frac{P b2}{P b1})}

Example

9571.809 Pa = \frac{10500 Pa - 8700 Pa}{\ln (\frac{10500 Pa}{8700 Pa})}

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Logarithmic Mean Partial Pressure Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in 2-Partial Pressure of Component B in 1)/(ln(Partial Pressure of Component B in 2/Partial Pressure of Component B in 1))
P_bm = (P_b2-P_b1)/(ln(P_b2/P_b1))
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 2 - (Measured in Pascal) - The Partial Pressure of Component B in 2 is the variable which measures the partial pressure of component B in the mixture on the other side of the diffusing component.
Partial Pressure of Component B in 1 - (Measured in Pascal) - The Partial Pressure of Component B in 1 is the variable which measures the partial pressure of component B in the mixture on the feed side of the diffusing component.

STEP 1: Convert Input(s) to Base Unit

Partial Pressure of Component B in 2: 10500 Pascal --> 10500 Pascal No Conversion Required
Partial Pressure of Component B in 1: 8700 Pascal --> 8700 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_bm = (P_b2-P_b1)/(ln(P_b2/P_b1)) --> (10500-8700)/(ln(10500/8700))

Evaluating ... ...

P_bm = 9571.80877681774

STEP 3: Convert Result to Output's Unit

9571.80877681774 Pascal --> No Conversion Required

FINAL ANSWER

9571.80877681774 ≈ 9571.809 Pascal <-- Logarithmic Mean Partial Pressure Difference

(Calculation completed in 00.004 seconds)

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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 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

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))

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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)

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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)

Logarithmic Mean Partial Pressure Difference

Go Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in 2-Partial Pressure of Component B in 1)/(ln(Partial Pressure of Component B in 2/Partial Pressure of Component B in 1))

Partial Pressure using Raoult's Law

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Go Total Concentration = Concentration of A+Concentration of B

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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)

Average Sherwood Number of Combined Laminar and Turbulent Flow

Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)

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Logarithmic Mean Partial Pressure Difference Formula

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 2-Partial Pressure of Component B in 1)/(ln(Partial Pressure of Component B in 2/Partial Pressure of Component B in 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 P_bm 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 2 (P_b2) & Partial Pressure of Component B in 1 (P_b1) and hit the calculate button. Here is how the Logarithmic Mean Partial Pressure Difference calculation can be explained with given input values -> 10748.06 = (10500-8700)/(ln(10500/8700)).

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 P_bm = (P_b2-P_b1)/(ln(P_b2/P_b1)) or Logarithmic Mean Partial Pressure Difference = (Partial Pressure of Component B in 2-Partial Pressure of Component B in 1)/(ln(Partial Pressure of Component B in 2/Partial Pressure of Component B in 1)). The Partial Pressure of Component B in 2 is the variable which measures the partial pressure of component B in the mixture on the other side of the diffusing component & The Partial Pressure of Component B in 1 is the variable which measures the partial pressure of component B in the mixture on the feed side of the diffusing component.

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 2-Partial Pressure of Component B in 1)/(ln(Partial Pressure of Component B in 2/Partial Pressure of Component B in 1)). To calculate Logarithmic Mean Partial Pressure Difference, you need Partial Pressure of Component B in 2 (P_b2) & Partial Pressure of Component B in 1 (P_b1). With our tool, you need to enter the respective value for Partial Pressure of Component B in 2 & Partial Pressure of Component B in 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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