Fractional Resistance Offered by Gas Phase Calculator

✖Gas phase mass transfer coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force.ⓘ Gas Phase Mass Transfer Coefficient [k_y]			+10% -10%
✖The Overall Gas Phase Mass Transfer Coefficient accounts for overall driving force for both the phases in contact in terms of Gas Phase Mass transfer.ⓘ Overall Gas Phase Mass Transfer Coefficient [K_y]			+10% -10%

✖The Fractional Resistance Offered by Gas Phase is the ratio of resistance offered by the gas film in contact with the liquid phase to the overall gas phase mass transfer coefficient.ⓘ Fractional Resistance Offered by Gas Phase [FR_g]

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Formula

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Fractional Resistance Offered by Gas Phase

Formula

`"FR"_{"g"} = (1/"k"_{"y"})/(1/"K"_{"y"})`

Example

`"0.84966"=(1/"90mol/s*m²")/(1/"76.46939mol/s*m²")`

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Fractional Resistance Offered by Gas Phase Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient)
FR_g = (1/k_y)/(1/K_y)
This formula uses 3 Variables

Variables Used

Fractional Resistance Offered by Gas Phase - The Fractional Resistance Offered by Gas Phase is the ratio of resistance offered by the gas film in contact with the liquid phase to the overall gas phase mass transfer coefficient.
Gas Phase Mass Transfer Coefficient - (Measured in Mole per Second Square Meter) - Gas phase mass transfer coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force.
Overall Gas Phase Mass Transfer Coefficient - (Measured in Mole per Second Square Meter) - The Overall Gas Phase Mass Transfer Coefficient accounts for overall driving force for both the phases in contact in terms of Gas Phase Mass transfer.

STEP 1: Convert Input(s) to Base Unit

Gas Phase Mass Transfer Coefficient: 90 Mole per Second Square Meter --> 90 Mole per Second Square Meter No Conversion Required
Overall Gas Phase Mass Transfer Coefficient: 76.46939 Mole per Second Square Meter --> 76.46939 Mole per Second Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

FR_g = (1/k_y)/(1/K_y) --> (1/90)/(1/76.46939)

Evaluating ... ...

FR_g = 0.849659888888889

STEP 3: Convert Result to Output's Unit

0.849659888888889 --> No Conversion Required

FINAL ANSWER

0.849659888888889 ≈ 0.84966 <-- Fractional Resistance Offered by Gas Phase

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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< 20 Mass Transfer Theories Calculators

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))

Instantaneous Mass Transfer Coefficient by Penetration Theory

Go Instantaneous Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)/(pi*Instantaneous Contact Time))

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))

Average Mass Transfer Coefficient by Penetration Theory

Go Average Convective Mass Transfer Coefficient = 2*sqrt(Diffusion Coefficient (DAB)/(pi*Average Contact Time))

Instantaneous Contact Time by Penetration Theory

Go Instantaneous Contact Time = (Diffusion Coefficient (DAB))/((Instantaneous Convective Mass Transfer Coefficient^2)*pi)

Diffusivity by Instanataneous Contact Time in Penetration Theory

Go Diffusion Coefficient (DAB) = (Instantaneous Contact Time*(Instantaneous Convective Mass Transfer Coefficient^2)*pi)

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)

Average Contact Time by Penetration Theory

Go Average Contact Time = (4*Diffusion Coefficient (DAB))/((Average Convective Mass Transfer Coefficient^2)*pi)

Diffusivity by Average Contact Time in Penetration Theory

Go Diffusion Coefficient (DAB) = (Average Contact Time*(Average Convective Mass Transfer Coefficient^2)*pi)/4

Overall Liquid Phase Mass Transfer Coefficient using Fractional Resistance by Liquid Phase

Go Overall Liquid Phase Mass Transfer Coefficient = Liquid Phase Mass Transfer Coefficient*Fractional Resistance Offered by Liquid Phase

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)

Overall Gas Phase Mass Transfer Coefficient using Fractional Resistance by Gas Phase

Go Overall Gas Phase Mass Transfer Coefficient = Gas Phase Mass Transfer Coefficient*Fractional Resistance Offered by Gas Phase

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 Coefficient by Surface Renewal Theory

Go Convective Mass Transfer Coefficient = sqrt(Diffusion Coefficient (DAB)*Surface Renewal Rate)

Surface Renewal Rate by Surface Renewal Theory

Go Surface Renewal Rate = (Convective Mass Transfer Coefficient^2)/Diffusion Coefficient (DAB)

Diffusivity by Surface Renewal Theory

Go Diffusion Coefficient (DAB) = (Convective Mass Transfer Coefficient^2)/Surface Renewal Rate

Mass Transfer Coefficient by Film Theory

Go Convective Mass Transfer Coefficient = Diffusion Coefficient (DAB)/Film Thickness

Film Thickness by Film Theory

Go Film Thickness = Diffusion Coefficient (DAB)/Convective Mass Transfer Coefficient

Diffusivity by Film Theory

Go Diffusion Coefficient (DAB) = Convective Mass Transfer Coefficient*Film Thickness

< 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)

Fractional Resistance Offered by Gas Phase Formula

Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient)
FR_g = (1/k_y)/(1/K_y)

What is Two-Film Theory ?

The two-film theory of Whitman (1923) was the first serious attempt to represent conditions occurring when material is transferred in a steady state process from one fluid stream to another. In this approach, it is assumed that a laminar layer exists in each of the two fluids. Outside the laminar layer, turbulent eddies supplement the action caused by the random movement of the molecules, and the resistance to transfer becomes progressively smaller.

What is the significance of fractional resistances ?

The relative magnitude of resistances become immediately understandable from the value of fractional resistances. If the slope m' is large, the fractional liquid phase resistance becomes high and we say that the rate of mass transfer is controlled by the liquid-phase resistance. On the other hand, if m' is very small, the rate of mass transfer is controlled by gas-phase resistance.

How to Calculate Fractional Resistance Offered by Gas Phase?

Fractional Resistance Offered by Gas Phase calculator uses Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient) to calculate the Fractional Resistance Offered by Gas Phase, The Fractional Resistance Offered by Gas Phase formula is defined as the ratio of gas phase resistance to the overall resistance of both phases in term of gas phase. Fractional Resistance Offered by Gas Phase is denoted by FR_g symbol.

How to calculate Fractional Resistance Offered by Gas Phase using this online calculator? To use this online calculator for Fractional Resistance Offered by Gas Phase, enter Gas Phase Mass Transfer Coefficient (k_y) & Overall Gas Phase Mass Transfer Coefficient (K_y) and hit the calculate button. Here is how the Fractional Resistance Offered by Gas Phase calculation can be explained with given input values -> 0.84966 = (1/90)/(1/76.46939).

FAQ

What is Fractional Resistance Offered by Gas Phase?

The Fractional Resistance Offered by Gas Phase formula is defined as the ratio of gas phase resistance to the overall resistance of both phases in term of gas phase and is represented as FR_g = (1/k_y)/(1/K_y) or Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient). Gas phase mass transfer coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force & The Overall Gas Phase Mass Transfer Coefficient accounts for overall driving force for both the phases in contact in terms of Gas Phase Mass transfer.

How to calculate Fractional Resistance Offered by Gas Phase?

The Fractional Resistance Offered by Gas Phase formula is defined as the ratio of gas phase resistance to the overall resistance of both phases in term of gas phase is calculated using Fractional Resistance Offered by Gas Phase = (1/Gas Phase Mass Transfer Coefficient)/(1/Overall Gas Phase Mass Transfer Coefficient). To calculate Fractional Resistance Offered by Gas Phase, you need Gas Phase Mass Transfer Coefficient (k_y) & Overall Gas Phase Mass Transfer Coefficient (K_y). With our tool, you need to enter the respective value for Gas Phase Mass Transfer Coefficient & Overall Gas Phase Mass Transfer Coefficient 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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