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General Rate Equation of Mass Transfer Formula

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Rate based on Volume of Contactor refers to the Rate Calculated when Unit Volume of Contactor is Considered. Check FAQs

r'''' A = (\frac{1}{(\frac{1}{k Ag \cdot a}) + (\frac{H A}{k Al \cdot a \cdot E}) + (\frac{H A}{k \cdot f l \cdot C Bl})}) \cdot (p A)

r''''_A - Rate based on Volume of Contactor?k_Ag - Gas Phase Mass Transfer Coefficient?a - Interfacial Area using Contactor?H_A - Henry Law Constant?k_Al - Liquid Phase Mass Transfer Coefficient?E - Liquid Film Enhancement Factor?k - Rate Constant for Fluid Fluid Reactions?f_l - Fraction of Liquid?C_Bl - Concentration of Liquid B?p_A - Partial Pressure of Reactant A?

General Rate Equation of Mass Transfer Example

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Here is how the General Rate Equation of Mass Transfer equation looks like with Values.

Here is how the General Rate Equation of Mass Transfer equation looks like with Units.

Here is how the General Rate Equation of Mass Transfer equation looks like.

1.933 = (\frac{1}{(\frac{1}{1.234 \cdot 0.11}) + (\frac{0.7888}{3.298 \cdot 0.11 \cdot 1.001}) + (\frac{0.7888}{0.67 \cdot 0.58 \cdot 7})}) \cdot (19)

1.933mol/m³*s = (\frac{1}{(\frac{1}{1.234m/s \cdot 0.11m⁻¹}) + (\frac{0.7888mol/(m³*Pa)}{3.298m/s \cdot 0.11m⁻¹ \cdot 1.001}) + (\frac{0.7888mol/(m³*Pa)}{0.67mol/m³*s \cdot 0.58 \cdot 7mol/m³})}) \cdot (19Pa)

1.933 = (\frac{1}{(\frac{1}{1.234 \cdot 0.11}) + (\frac{0.7888}{3.298 \cdot 0.11 \cdot 1.001}) + (\frac{0.7888}{0.67 \cdot 0.58 \cdot 7})}) \cdot (19)

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General Rate Equation of Mass Transfer Solution

Follow our step by step solution on how to calculate General Rate Equation of Mass Transfer?

FIRST Step Consider the formula

r'''' A = (\frac{1}{(\frac{1}{k Ag \cdot a}) + (\frac{H A}{k Al \cdot a \cdot E}) + (\frac{H A}{k \cdot f l \cdot C Bl})}) \cdot (p A)

Next Step Substitute values of Variables

∴

r'''' A = (\frac{1}{(\frac{1}{1.234m/s \cdot 0.11m⁻¹}) + (\frac{0.7888mol/(m³*Pa)}{3.298m/s \cdot 0.11m⁻¹ \cdot 1.001}) + (\frac{0.7888mol/(m³*Pa)}{0.67mol/m³*s \cdot 0.58 \cdot 7mol/m³})}) \cdot (19Pa)

Next Step Prepare to Evaluate

∴

r'''' A = (\frac{1}{(\frac{1}{1.234 \cdot 0.11}) + (\frac{0.7888}{3.298 \cdot 0.11 \cdot 1.001}) + (\frac{0.7888}{0.67 \cdot 0.58 \cdot 7})}) \cdot (19)

Next Step Evaluate

∴

r'''' A = 1.93302530241439mol/m³*s

LAST Step Rounding Answer

∴

r'''' A = 1.933mol/m³*s

General Rate Equation of Mass Transfer Formula Elements

Variables

Rate based on Volume of Contactor

Rate based on Volume of Contactor refers to the Rate Calculated when Unit Volume of Contactor is Considered.

Symbol: r''''_A

Measurement: Reaction RateUnit: mol/m³*s

Note: Value should be greater than -999.

Formulas to find Rate based on Volume of Contactor

Gas Phase Mass Transfer Coefficient

Gas Phase Mass Transfer Coefficient describes the efficiency of mass transfer between a gas phase and a liquid phase in a system.

Symbol: k_Ag

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Gas Phase Mass Transfer Coefficient

Interfacial Area using Contactor

Interfacial Area using Contactor refers to the Reacted Area of the Contactor.

Symbol: a

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than -999.

Formulas to find Interfacial Area using Contactor

Henry Law Constant

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.

Symbol: H_A

Measurement: Henry's Law Solubility ConstantUnit: mol/(m³*Pa)

Note: Value should be greater than 0.

Formulas to find Henry Law Constant

Liquid Phase Mass Transfer Coefficient

Liquid Phase Mass Transfer Coefficient quantifies the diffusion rate constant of the Liquid Phase mass transfer process.

Symbol: k_Al

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Liquid Phase Mass Transfer Coefficient

Liquid Film Enhancement Factor

Liquid Film Enhancement Factor is Calculated for calculating the General Rate of Reaction.

Symbol: E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Liquid Film Enhancement Factor

Rate Constant for Fluid Fluid Reactions

Rate Constant for Fluid Fluid Reactions is the Rate Calculated when the Reaction Occurs in the Fluid Fluid System.

Symbol: k

Measurement: Reaction RateUnit: mol/m³*s

Note: Value should be greater than 0.

Formulas to find Rate Constant for Fluid Fluid Reactions

Fraction of Liquid

Fraction of Liquid is Dimensionless Quantity that represents the Volume Occupied by Liquid Phase.

Symbol: f_l

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fraction of Liquid

Concentration of Liquid B

Concentration of Liquid B refers to the Liquid Phase of the Reactant B.

Symbol: C_Bl

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Concentration of Liquid B

Partial Pressure of Reactant A

Partial Pressure of Reactant A is the pressure that an individual reactant exerts in a mixture of gases at given temperature.

Symbol: p_A

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Partial Pressure of Reactant A

Other formulas in Fluid Fluid Reactions Kinetics category

Go Fraction of Liquid in Fluid Kinetics

f l = \frac{V l}{V r}

Go Fraction of Gas in Fluid Fluid Kinetics

f g = \frac{V g}{V r}

How to Evaluate General Rate Equation of Mass Transfer?

General Rate Equation of Mass Transfer evaluator 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 evaluate 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 evaluate General Rate Equation of Mass Transfer using this online evaluator? To use this online evaluator 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.

FAQs on General Rate Equation of Mass Transfer

What is the formula to find General Rate Equation of Mass Transfer?

The formula of General Rate Equation of Mass Transfer is expressed as 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). Here is an example- 1.933025 = (1/((1/(1.234*0.11))+(0.7888/(3.298*0.11*1.001))+(0.7888/(0.67*0.58*7))))*(19).

How to calculate General Rate Equation of Mass Transfer?

With 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) we can find General Rate Equation of Mass Transfer using the formula - 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).

Can the General Rate Equation of Mass Transfer be negative?

Yes, the General Rate Equation of Mass Transfer, measured in Reaction Rate can be negative.

Which unit is used to measure General Rate Equation of Mass Transfer?

General Rate Equation of Mass Transfer is usually measured using the Mole per Cubic Meter Second[mol/m³*s] for Reaction Rate. Mole per Liter Second[mol/m³*s], Millimole per Liter Second[mol/m³*s] are the few other units in which General Rate Equation of Mass Transfer can be measured.

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General Rate Equation of Mass Transfer Formula

General Rate Equation of Mass Transfer Example

General Rate Equation of Mass Transfer Solution

General Rate Equation of Mass Transfer Formula Elements

Other formulas in Fluid Fluid Reactions Kinetics category

How to Evaluate General Rate Equation of Mass Transfer?

FAQs on General Rate Equation of Mass Transfer

Variable Name