General Rate Equation of Mass Transfer Calculator

✖Gas Phase Mass Transfer Coefficient describes the efficiency of mass transfer between a gas phase and a liquid phase in a system.ⓘ Gas Phase Mass Transfer Coefficient [k_Ag]			+10% -10%
✖Interfacial Area using Contactor refers to the Reacted Area of the Contactor.ⓘ Interfacial Area using Contactor [a]			+10% -10%
✖Henry Law Constant is the ratio of a compound's partial pressure in Vapor Phase to the concentration of the compound in Liquid Phase at a given temperature.ⓘ Henry Law Constant [H_A]			+10% -10%
✖Liquid Phase Mass Transfer Coefficient quantifies the diffusion rate constant of the Liquid Phase mass transfer process.ⓘ Liquid Phase Mass Transfer Coefficient [k_Al]			+10% -10%
✖Liquid Film Enhancement Factor is Calculated for calculating the General Rate of Reaction.ⓘ Liquid Film Enhancement Factor [E]			+10% -10%
✖Rate Constant for Fluid Fluid Reactions is the Rate Calculated when the Reaction Occurs in the Fluid Fluid System.ⓘ Rate Constant for Fluid Fluid Reactions [k]			+10% -10%
✖Fraction of Liquid is Dimensionless Quantity that represents the Volume Occupied by Liquid Phase.ⓘ Fraction of Liquid [f_l]			+10% -10%
✖Concentration of Liquid B refers to the Liquid Phase of the Reactant B.ⓘ Concentration of Liquid B [C_Bl]			+10% -10%
✖Partial Pressure of Reactant A is the pressure that an individual reactant exerts in a mixture of gases at given temperature.ⓘ Partial Pressure of Reactant A [p_A]			+10% -10%

✖Rate based on Volume of Contactor refers to the Rate Calculated when Unit Volume of Contactor is Considered.ⓘ General Rate Equation of Mass Transfer [r''''_A]

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Formula

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General Rate Equation of Mass Transfer

Formula

`"r''''"_{"A"} = (1/((1/("k"_{"Ag"}*"a"))+("H"_{"A"}/("k"_{"Al"}*"a"*"E"))+("H"_{"A"}/("k"*"f"_{"l"}*"C"_{"Bl"}))))*("p"_{"A"})`

Example

`"1.933025mol/m³*s"=(1/((1/("1.234m/s"*"0.11m⁻¹"))+("0.7888mol/(m³*Pa)"/("3.298m/s"*"0.11m⁻¹"*"1.001"))+("0.7888mol/(m³*Pa)"/("0.67mol/m³*s"*"0.58"*"7mol/m³"))))*("19Pa")`

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General Rate Equation of Mass Transfer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate based on Volume of Contactor = (1/((1/(Gas Phase Mass Transfer Coefficient*Interfacial Area using Contactor))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Interfacial Area using Contactor*Liquid Film Enhancement Factor))+(Henry Law Constant/(Rate Constant for Fluid Fluid Reactions*Fraction of Liquid*Concentration of Liquid B))))*(Partial Pressure of Reactant A)
r''''_A = (1/((1/(k_Ag*a))+(H_A/(k_Al*a*E))+(H_A/(k*f_l*C_Bl))))*(p_A)
This formula uses 10 Variables

Variables Used

Rate based on Volume of Contactor - (Measured in Mole per Cubic Meter Second) - Rate based on Volume of Contactor refers to the Rate Calculated when Unit Volume of Contactor is Considered.
Gas Phase Mass Transfer Coefficient - (Measured in Meter per Second) - Gas Phase Mass Transfer Coefficient describes the efficiency of mass transfer between a gas phase and a liquid phase in a system.
Interfacial Area using Contactor - (Measured in 1 per Meter) - Interfacial Area using Contactor refers to the Reacted Area of the Contactor.
Henry Law Constant - (Measured in Mole per Cubic Meter per Pascal) - Henry Law Constant is the ratio of a compound's partial pressure in Vapor Phase to the concentration of the compound in Liquid Phase at a given temperature.
Liquid Phase Mass Transfer Coefficient - (Measured in Meter per Second) - Liquid Phase Mass Transfer Coefficient quantifies the diffusion rate constant of the Liquid Phase mass transfer process.
Liquid Film Enhancement Factor - Liquid Film Enhancement Factor is Calculated for calculating the General Rate of Reaction.
Rate Constant for Fluid Fluid Reactions - (Measured in Mole per Cubic Meter Second) - Rate Constant for Fluid Fluid Reactions is the Rate Calculated when the Reaction Occurs in the Fluid Fluid System.
Fraction of Liquid - Fraction of Liquid is Dimensionless Quantity that represents the Volume Occupied by Liquid Phase.
Concentration of Liquid B - (Measured in Mole per Cubic Meter) - Concentration of Liquid B refers to the Liquid Phase of the Reactant B.
Partial Pressure of Reactant A - (Measured in Pascal) - Partial Pressure of Reactant A is the pressure that an individual reactant exerts in a mixture of gases at given temperature.

STEP 1: Convert Input(s) to Base Unit

Gas Phase Mass Transfer Coefficient: 1.234 Meter per Second --> 1.234 Meter per Second No Conversion Required
Interfacial Area using Contactor: 0.11 1 per Meter --> 0.11 1 per Meter No Conversion Required
Henry Law Constant: 0.7888 Mole per Cubic Meter per Pascal --> 0.7888 Mole per Cubic Meter per Pascal No Conversion Required
Liquid Phase Mass Transfer Coefficient: 3.298 Meter per Second --> 3.298 Meter per Second No Conversion Required
Liquid Film Enhancement Factor: 1.001 --> No Conversion Required
Rate Constant for Fluid Fluid Reactions: 0.67 Mole per Cubic Meter Second --> 0.67 Mole per Cubic Meter Second No Conversion Required
Fraction of Liquid: 0.58 --> No Conversion Required
Concentration of Liquid B: 7 Mole per Cubic Meter --> 7 Mole per Cubic Meter No Conversion Required
Partial Pressure of Reactant A: 19 Pascal --> 19 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r''''_A = (1/((1/(k_Ag*a))+(H_A/(k_Al*a*E))+(H_A/(k*f_l*C_Bl))))*(p_A) --> (1/((1/(1.234*0.11))+(0.7888/(3.298*0.11*1.001))+(0.7888/(0.67*0.58*7))))*(19)

Evaluating ... ...

r''''_A = 1.93302530241439

STEP 3: Convert Result to Output's Unit

1.93302530241439 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

1.93302530241439 ≈ 1.933025 Mole per Cubic Meter Second <-- Rate based on Volume of Contactor

(Calculation completed in 00.004 seconds)

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General Rate Equation of Mass Transfer

Go Rate based on Volume of Contactor = (1/((1/(Gas Phase Mass Transfer Coefficient*Interfacial Area using Contactor))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Interfacial Area using Contactor*Liquid Film Enhancement Factor))+(Henry Law Constant/(Rate Constant for Fluid Fluid Reactions*Fraction of Liquid*Concentration of Liquid B))))*(Partial Pressure of Reactant A)

Final Rate Expression for Straight Mass Transfer

Go Reaction Rate based on Volume of Contactor = (1/((1/Gas Phase Mass Transfer Coefficient*Interfacial Area using Contactor)+(Henry Law Constant/Liquid Phase Mass Transfer Coefficient*Interfacial Area using Contactor)))*(Partial Pressure of Reactant A-Henry Law Constant*Reactant Concentration)

Rate of Reactant A for Straight Mass Transfer for Liquid Film using Volume of Contactor

Go Overall Reaction Rate based on Volume of Contactor = -(Liquid Phase Mass Transfer Coefficient*Interfacial Area using Contactor*(Concentration of Reactant A at Interphase-Reactant Concentration))

Rate Equation of Reactant A for Straight Mass Transfer for Gas Film using Volume of Contactor

Go Overall Reaction Rate based on Volume of Contactor = -(Gas Phase MTC*Interfacial Area using Contactor*(Partial Pressure of Reactant A-Partial Pressure of Reactant A at Interface))

Rate Equation of Reactant A for Straight Mass Transfer for Gas Film using Surface Area of Contactor

Go Reaction Rate based on Surface Area = Gas Phase Mass Transfer Coefficient*(Partial Pressure of Reactant A-Partial Pressure of Reactant A at Interface)

Rate of Reactant A for Straight Mass Transfer for Liquid Film using Surface Area of Contactor

Go Reaction Rate based on Surface Area = Liquid Phase MTC*(Concentration of Reactant A at Interphase-Reactant Concentration)

Interfacial Area of Contactor

Go Interfacial Area using Contactor = Interfacial Surface Area of Contactor/Volume of Contactor

Interfacial Area of Liquid in Contactor

Go Interfacial Area of Liquid = Interfacial Surface Area of Contactor/Volume of Liquid

Fraction of Liquid in Fluid Kinetics

Go Fraction of Liquid = Volume of Liquid/Volume of Contactor

Fraction of Gas in Fluid Fluid Kinetics

Go Fraction of Gas = Volume of Gas/Volume of Contactor

General Rate Equation of Mass Transfer Formula

What is Henry's Law Constant?

Henry's law constant is a proportionality constant that describes the solubility of a gas in a liquid. It quantifies the relationship between the concentration of a gas in a solution and the partial pressure of that gas in the atmosphere above the solution, at a specific temperature.

What are Fluid-Fluid Reactions?

Fluid-Fluid Reactions often refer to reactions that occur between different phases of fluids. This typically involves reactions between gases and liquids or reactions between two immiscible liquids. The study of these reactions involves considering the kinetics, which is the study of reaction rates and mechanisms.

How to Calculate General Rate Equation of Mass Transfer?

General Rate Equation of Mass Transfer calculator uses Rate based on Volume of Contactor = (1/((1/(Gas Phase Mass Transfer Coefficient*Interfacial Area using Contactor))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Interfacial Area using Contactor*Liquid Film Enhancement Factor))+(Henry Law Constant/(Rate Constant for Fluid Fluid Reactions*Fraction of Liquid*Concentration of Liquid B))))*(Partial Pressure of Reactant A) to calculate the Rate based on Volume of Contactor, The General Rate Equation of Mass Transfer formula is defined as Rate Calculated, when Enhancement Factor and Fraction of Liquid is Considered for the Calculation. Rate based on Volume of Contactor is denoted by r''''_A symbol.

How to calculate General Rate Equation of Mass Transfer using this online calculator? To use this online calculator for General Rate Equation of Mass Transfer, enter Gas Phase Mass Transfer Coefficient (k_Ag), Interfacial Area using Contactor (a), Henry Law Constant (H_A), Liquid Phase Mass Transfer Coefficient (k_Al), Liquid Film Enhancement Factor (E), Rate Constant for Fluid Fluid Reactions (k), Fraction of Liquid (f_l), Concentration of Liquid B (C_Bl) & Partial Pressure of Reactant A (p_A) and hit the calculate button. Here is how the General Rate Equation of Mass Transfer calculation can be explained with given input values -> 1.933025 = (1/((1/(1.234*0.11))+(0.7888/(3.298*0.11*1.001))+(0.7888/(0.67*0.58*7))))*(19).

FAQ

What is General Rate Equation of Mass Transfer?

The General Rate Equation of Mass Transfer formula is defined as Rate Calculated, when Enhancement Factor and Fraction of Liquid is Considered for the Calculation and is represented as r''''_A = (1/((1/(k_Ag*a))+(H_A/(k_Al*a*E))+(H_A/(k*f_l*C_Bl))))*(p_A) or Rate based on Volume of Contactor = (1/((1/(Gas Phase Mass Transfer Coefficient*Interfacial Area using Contactor))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Interfacial Area using Contactor*Liquid Film Enhancement Factor))+(Henry Law Constant/(Rate Constant for Fluid Fluid Reactions*Fraction of Liquid*Concentration of Liquid B))))*(Partial Pressure of Reactant A). Gas Phase Mass Transfer Coefficient describes the efficiency of mass transfer between a gas phase and a liquid phase in a system, Interfacial Area using Contactor refers to the Reacted Area of the Contactor, Henry Law Constant is the ratio of a compound's partial pressure in Vapor Phase to the concentration of the compound in Liquid Phase at a given temperature, Liquid Phase Mass Transfer Coefficient quantifies the diffusion rate constant of the Liquid Phase mass transfer process, Liquid Film Enhancement Factor is Calculated for calculating the General Rate of Reaction, Rate Constant for Fluid Fluid Reactions is the Rate Calculated when the Reaction Occurs in the Fluid Fluid System, Fraction of Liquid is Dimensionless Quantity that represents the Volume Occupied by Liquid Phase, Concentration of Liquid B refers to the Liquid Phase of the Reactant B & Partial Pressure of Reactant A is the pressure that an individual reactant exerts in a mixture of gases at given temperature.

How to calculate General Rate Equation of Mass Transfer?

The General Rate Equation of Mass Transfer formula is defined as Rate Calculated, when Enhancement Factor and Fraction of Liquid is Considered for the Calculation is calculated using Rate based on Volume of Contactor = (1/((1/(Gas Phase Mass Transfer Coefficient*Interfacial Area using Contactor))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Interfacial Area using Contactor*Liquid Film Enhancement Factor))+(Henry Law Constant/(Rate Constant for Fluid Fluid Reactions*Fraction of Liquid*Concentration of Liquid B))))*(Partial Pressure of Reactant A). To calculate General Rate Equation of Mass Transfer, you need Gas Phase Mass Transfer Coefficient (k_Ag), Interfacial Area using Contactor (a), Henry Law Constant (H_A), Liquid Phase Mass Transfer Coefficient (k_Al), Liquid Film Enhancement Factor (E), Rate Constant for Fluid Fluid Reactions (k), Fraction of Liquid (f_l), Concentration of Liquid B (C_Bl) & Partial Pressure of Reactant A (p_A). With our tool, you need to enter the respective value for Gas Phase Mass Transfer Coefficient, Interfacial Area using Contactor, Henry Law Constant, Liquid Phase Mass Transfer Coefficient, Liquid Film Enhancement Factor, Rate Constant for Fluid Fluid Reactions, Fraction of Liquid, Concentration of Liquid B & Partial Pressure of Reactant A 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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