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Rate Equation of Reactant A in G/L Reactions Formula

GoRate Equation of Reactant A at Extreme B Formula

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Reaction Rate of Reactant A is the Reaction rate Calculated based on Volume of Catalyst pellets, where Catalyst is present in the Reactor, in Reaction involving A. Check FAQs

r A''' = (\frac{1}{(\frac{1}{k Ag \cdot a i}) + (\frac{H A}{k Al \cdot a i}) + (\frac{H A}{k Ac \cdot a c}) + (\frac{H A}{(k A''' \cdot C B,d) \cdot ξ A \cdot f s})} \cdot p Ag)

r_A''' - Reaction Rate of Reactant A?k_Ag - Gas Phase Mass Transfer Coefficient?a_i - Inner Area of Particle?H_A - Henry Law Constant?k_Al - Liquid Phase Mass Transfer Coefficient?k_Ac - Film Coefficient of Catalyst on A?a_c - External Area of Particle?k_A''' - Rate Constant of A?C_B,d - Diffused Concentration of Reactant B?ξ_A - Effectiveness Factor of Reactant A?f_s - Solid Loading into Reactors?p_Ag - Pressure of Gaseous A?

Rate Equation of Reactant A in G/L Reactions Example

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Here is how the Rate Equation of Reactant A in G/L Reactions equation looks like with Values.

Here is how the Rate Equation of Reactant A in G/L Reactions equation looks like with Units.

Here is how the Rate Equation of Reactant A in G/L Reactions equation looks like.

1.2094 = (\frac{1}{(\frac{1}{1.2358 \cdot 0.75}) + (\frac{0.034}{0.039 \cdot 0.75}) + (\frac{0.034}{0.77 \cdot 0.045}) + (\frac{0.034}{(1.823 \cdot 9.56) \cdot 0.91 \cdot 0.97})} \cdot 3.9)

1.2094mol/m³*s = (\frac{1}{(\frac{1}{1.2358m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.039m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.77m/s \cdot 0.045m²}) + (\frac{0.034mol/(m³*Pa)}{(1.823s⁻¹ \cdot 9.56mol/m³) \cdot 0.91 \cdot 0.97})} \cdot 3.9Pa)

1.2094 = (\frac{1}{(\frac{1}{1.2358 \cdot 0.75}) + (\frac{0.034}{0.039 \cdot 0.75}) + (\frac{0.034}{0.77 \cdot 0.045}) + (\frac{0.034}{(1.823 \cdot 9.56) \cdot 0.91 \cdot 0.97})} \cdot 3.9)

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Rate Equation of Reactant A in G/L Reactions Solution

Follow our step by step solution on how to calculate Rate Equation of Reactant A in G/L Reactions?

FIRST Step Consider the formula

r A''' = (\frac{1}{(\frac{1}{k Ag \cdot a i}) + (\frac{H A}{k Al \cdot a i}) + (\frac{H A}{k Ac \cdot a c}) + (\frac{H A}{(k A''' \cdot C B,d) \cdot ξ A \cdot f s})} \cdot p Ag)

Next Step Substitute values of Variables

∴

r A''' = (\frac{1}{(\frac{1}{1.2358m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.039m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.77m/s \cdot 0.045m²}) + (\frac{0.034mol/(m³*Pa)}{(1.823s⁻¹ \cdot 9.56mol/m³) \cdot 0.91 \cdot 0.97})} \cdot 3.9Pa)

Next Step Prepare to Evaluate

∴

r A''' = (\frac{1}{(\frac{1}{1.2358 \cdot 0.75}) + (\frac{0.034}{0.039 \cdot 0.75}) + (\frac{0.034}{0.77 \cdot 0.045}) + (\frac{0.034}{(1.823 \cdot 9.56) \cdot 0.91 \cdot 0.97})} \cdot 3.9)

Next Step Evaluate

∴

r A''' = 1.20938950452738mol/m³*s

LAST Step Rounding Answer

∴

r A''' = 1.2094mol/m³*s

Rate Equation of Reactant A in G/L Reactions Formula Elements

Variables

Reaction Rate of Reactant A

Reaction Rate of Reactant A is the Reaction rate Calculated based on Volume of Catalyst pellets, where Catalyst is present in the Reactor, in Reaction involving A.

Symbol: r_A'''

Measurement: Reaction RateUnit: mol/m³*s

Note: Value can be positive or negative.

Formulas to find Reaction Rate of Reactant A

Gas Phase Mass Transfer Coefficient

Gas Phase Mass Transfer Coefficient describes the diffusion rate constant 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

Inner Area of Particle

Inner Area of Particle typically refers to the surface area within the internal pores or voids of the particle, in G/L Reactions.

Symbol: a_i

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Inner Area of Particle

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 effectiveness of the mass transfer process.

Symbol: k_Al

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Liquid Phase Mass Transfer Coefficient

Film Coefficient of Catalyst on A

Film Coefficient of Catalyst on A represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface.

Symbol: k_Ac

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Film Coefficient of Catalyst on A

External Area of Particle

External Area of Particle refers to the surface area on the outer surface of the particle.

Symbol: a_c

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find External Area of Particle

Rate Constant of A

Rate Constant of A is Constant of rate of Reaction involving Reactant A where Volume of Catalyst is considered.

Symbol: k_A'''

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant of A

Diffused Concentration of Reactant B

Diffused Concentration of Reactant B refers to the concentration profile of that reactant B as it diffuses from the bulk fluid to the surface of a catalyst particle.

Symbol: C_B,d

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Diffused Concentration of Reactant B

Effectiveness Factor of Reactant A

Effectiveness Factor of Reactant A is term used to measure the resistance to pore diffusion, in G/L Reactions.

Symbol: ξ_A

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Effectiveness Factor of Reactant A

Solid Loading into Reactors

Solid Loading into Reactors refers to the amount of solid particles present in a fluid (liquid or gas) entering or present within a Reactor System.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Solid Loading into Reactors

Pressure of Gaseous A

Pressure of Gaseous A refers to the the Pressure exerted by the Reactant A at the G/L interphase.

Symbol: p_Ag

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Pressure of Gaseous A

Other Formulas to find Reaction Rate of Reactant A

Go Rate Equation of Reactant A at Extreme B

r A''' = (- (\frac{1}{(\frac{1}{k Ag \cdot a i}) + (\frac{H A}{k Al \cdot a i}) + (\frac{H A}{k Ac \cdot a c}) + (\frac{H A}{(k A''' \cdot C Bl,d) \cdot ξ A \cdot f s})} \cdot p Ag))

Other formulas in G to L Reactions on Solid Catalysts category

Go Henry's Law Constant

H A = \frac{p A}{C A}

Go Inner Area of Particle

a i = \frac{a gl}{V}

How to Evaluate Rate Equation of Reactant A in G/L Reactions?

Rate Equation of Reactant A in G/L Reactions evaluator uses Reaction Rate of Reactant A = (1/((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))*Pressure of Gaseous A) to evaluate the Reaction Rate of Reactant A, The Rate Equation of Reactant A in G/L Reactions formula is defined as the Reaction Rate Calculated when there is G/L Reaction carried out at presence of Solid Catalyst. Reaction Rate of Reactant A is denoted by r_A''' symbol.

How to evaluate Rate Equation of Reactant A in G/L Reactions using this online evaluator? To use this online evaluator for Rate Equation of Reactant A in G/L Reactions, enter Gas Phase Mass Transfer Coefficient (k_Ag), Inner Area of Particle (a_i), Henry Law Constant (H_A), Liquid Phase Mass Transfer Coefficient (k_Al), Film Coefficient of Catalyst on A (k_Ac), External Area of Particle (a_c), Rate Constant of A (k_A'''), Diffused Concentration of Reactant B (C_B,d), Effectiveness Factor of Reactant A (ξ_A), Solid Loading into Reactors (f_s) & Pressure of Gaseous A (p_Ag) and hit the calculate button.

FAQs on Rate Equation of Reactant A in G/L Reactions

What is the formula to find Rate Equation of Reactant A in G/L Reactions?

The formula of Rate Equation of Reactant A in G/L Reactions is expressed as Reaction Rate of Reactant A = (1/((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))*Pressure of Gaseous A). Here is an example- 1.20939 = (1/((1/(1.2358*0.75))+(0.034/(0.039*0.75))+(0.034/(0.77*0.045))+(0.034/((1.823*9.56)*0.91*0.97)))*3.9).

How to calculate Rate Equation of Reactant A in G/L Reactions?

With Gas Phase Mass Transfer Coefficient (k_Ag), Inner Area of Particle (a_i), Henry Law Constant (H_A), Liquid Phase Mass Transfer Coefficient (k_Al), Film Coefficient of Catalyst on A (k_Ac), External Area of Particle (a_c), Rate Constant of A (k_A'''), Diffused Concentration of Reactant B (C_B,d), Effectiveness Factor of Reactant A (ξ_A), Solid Loading into Reactors (f_s) & Pressure of Gaseous A (p_Ag) we can find Rate Equation of Reactant A in G/L Reactions using the formula - Reaction Rate of Reactant A = (1/((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))*Pressure of Gaseous A).

What are the other ways to Calculate Reaction Rate of Reactant A?

Here are the different ways to Calculate Reaction Rate of Reactant A-

Reaction Rate of Reactant A=(-(1/((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Total Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))*Pressure of Gaseous A))

Can the Rate Equation of Reactant A in G/L Reactions be negative?

Yes, the Rate Equation of Reactant A in G/L Reactions, measured in Reaction Rate can be negative.

Which unit is used to measure Rate Equation of Reactant A in G/L Reactions?

Rate Equation of Reactant A in G/L Reactions 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 Rate Equation of Reactant A in G/L Reactions can be measured.

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Rate Equation of Reactant A in G/L Reactions Formula

​GoRate Equation of Reactant A at Extreme B Formula

Rate Equation of Reactant A in G/L Reactions Example

Rate Equation of Reactant A in G/L Reactions Solution

Rate Equation of Reactant A in G/L Reactions Formula Elements

Other Formulas to find Reaction Rate of Reactant A

Other formulas in G to L Reactions on Solid Catalysts category

How to Evaluate Rate Equation of Reactant A in G/L Reactions?

FAQs on Rate Equation of Reactant A in G/L Reactions

Variable Name

GoRate Equation of Reactant A at Extreme B Formula