Rate Equation of Reactant A in G/L Reactions Calculator

✖Gas Phase Mass Transfer Coefficient describes the diffusion rate constant of mass transfer between a gas phase and a liquid phase in a system.ⓘ Gas Phase Mass Transfer Coefficient [k_Ag]			+10% -10%
✖Inner Area of Particle typically refers to the surface area within the internal pores or voids of the particle, in G/L Reactions.ⓘ Inner Area of Particle [a_i]			+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 effectiveness of the mass transfer process.ⓘ Liquid Phase Mass Transfer Coefficient [k_Al]			+10% -10%
✖Film Coefficient of Catalyst on A represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface.ⓘ Film Coefficient of Catalyst on A [k_Ac]			+10% -10%
✖External Area of Particle refers to the surface area on the outer surface of the particle.ⓘ External Area of Particle [a_c]			+10% -10%
✖Rate Constant of A is Constant of rate of Reaction involving Reactant A where Volume of Catalyst is considered.ⓘ Rate Constant of A [k_A''']			+10% -10%
✖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.ⓘ Diffused Concentration of Reactant B [C_B,d]			+10% -10%
✖Effectiveness Factor of Reactant A is term used to measure the resistance to pore diffusion, in G/L Reactions.ⓘ Effectiveness Factor of Reactant A [ξ_A]			+10% -10%
✖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.ⓘ Solid Loading into Reactors [f_s]			+10% -10%
✖Pressure of Gaseous A refers to the the Pressure exerted by the Reactant A at the G/L interphase.ⓘ Pressure of Gaseous A [p_Ag]			+10% -10%

✖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.ⓘ Rate Equation of Reactant A in G/L Reactions [r_A''']

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Rate Equation of Reactant A in G/L Reactions

Formula

`("r"_{"A"}"'''") = (1/((1/("k"_{"Ag"}*"a"_{"i"}))+("H"_{"A"}/("k"_{"Al"}*"a"_{"i"}))+("H"_{"A"}/("k"_{"Ac"}*"a"_{"c"}))+("H"_{"A"}/((("k"_{"A"}"'''")*"C"_{"B,d"})*"ξ"_{"A"}*"f"_{"s"})))*"p"_{"Ag"})`

Example

`"1.20939mol/m³*s"=(1/((1/("1.23580m/s"*"0.75m⁻¹"))+("0.034mol/(m³*Pa)"/("0.039m/s"*"0.75m⁻¹"))+("0.034mol/(m³*Pa)"/("0.77m/s"*"0.045m²"))+("0.034mol/(m³*Pa)"/(("1.823s⁻¹"*"9.56mol/m³")*"0.91"*"0.97")))*"3.9Pa")`

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Rate Equation of Reactant A in G/L Reactions Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
r_A''' = (1/((1/(k_Ag*a_i))+(H_A/(k_Al*a_i))+(H_A/(k_Ac*a_c))+(H_A/((k_A'''*C_B,d)*ξ_A*f_s)))*p_Ag)
This formula uses 12 Variables

Variables Used

Reaction Rate of Reactant A - (Measured in Mole per Cubic Meter Second) - 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.
Gas Phase Mass Transfer Coefficient - (Measured in Meter per Second) - Gas Phase Mass Transfer Coefficient describes the diffusion rate constant of mass transfer between a gas phase and a liquid phase in a system.
Inner Area of Particle - (Measured in 1 per Meter) - Inner Area of Particle typically refers to the surface area within the internal pores or voids of the particle, in G/L Reactions.
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 effectiveness of the mass transfer process.
Film Coefficient of Catalyst on A - (Measured in Meter per Second) - Film Coefficient of Catalyst on A represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface.
External Area of Particle - (Measured in Square Meter) - External Area of Particle refers to the surface area on the outer surface of the particle.
Rate Constant of A - (Measured in 1 Per Second) - Rate Constant of A is Constant of rate of Reaction involving Reactant A where Volume of Catalyst is considered.
Diffused Concentration of Reactant B - (Measured in Mole per Cubic Meter) - 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.
Effectiveness Factor of Reactant A - Effectiveness Factor of Reactant A is term used to measure the resistance to pore diffusion, in G/L Reactions.
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.
Pressure of Gaseous A - (Measured in Pascal) - Pressure of Gaseous A refers to the the Pressure exerted by the Reactant A at the G/L interphase.

STEP 1: Convert Input(s) to Base Unit

Gas Phase Mass Transfer Coefficient: 1.2358 Meter per Second --> 1.2358 Meter per Second No Conversion Required
Inner Area of Particle: 0.75 1 per Meter --> 0.75 1 per Meter No Conversion Required
Henry Law Constant: 0.034 Mole per Cubic Meter per Pascal --> 0.034 Mole per Cubic Meter per Pascal No Conversion Required
Liquid Phase Mass Transfer Coefficient: 0.039 Meter per Second --> 0.039 Meter per Second No Conversion Required
Film Coefficient of Catalyst on A: 0.77 Meter per Second --> 0.77 Meter per Second No Conversion Required
External Area of Particle: 0.045 Square Meter --> 0.045 Square Meter No Conversion Required
Rate Constant of A: 1.823 1 Per Second --> 1.823 1 Per Second No Conversion Required
Diffused Concentration of Reactant B: 9.56 Mole per Cubic Meter --> 9.56 Mole per Cubic Meter No Conversion Required
Effectiveness Factor of Reactant A: 0.91 --> No Conversion Required
Solid Loading into Reactors: 0.97 --> No Conversion Required
Pressure of Gaseous A: 3.9 Pascal --> 3.9 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_A''' = (1/((1/(k_Ag*a_i))+(H_A/(k_Al*a_i))+(H_A/(k_Ac*a_c))+(H_A/((k_A'''*C_B,d)*ξ_A*f_s)))*p_Ag) --> (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)

Evaluating ... ...

r_A''' = 1.20938950452738

STEP 3: Convert Result to Output's Unit

1.20938950452738 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

1.20938950452738 ≈ 1.20939 Mole per Cubic Meter Second <-- Reaction Rate of Reactant A

(Calculation completed in 00.004 seconds)

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< 13 G/L Reactions on Solid Catalysts Calculators

Rate Equation of Reactant A at Extreme B

Go 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))

Partial Pressure of Gaseous A at Extreme B

Go Pressure of Gaseous A = Reaction Rate of Reactant A*((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)))

Rate Equation of Reactant A in G/L Reactions

Go 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)

Partial Pressure of Gaseous A in G/L Reactions

Go Pressure of Gaseous A = Reaction Rate of Reactant A*((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)))

Rate Equation of Reactant B at Extreme A

Go Reaction Rate of Reactant B = (1/((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/(((Rate Constant of B*Pressure of Gaseous A)/Henry Law Constant)*Effectiveness Factor of Reactant B*Solid Loading into Reactors))))*Concentration of Liquid B

Concentration of Reactant B at Extreme A

Go Concentration of Liquid B = Reaction Rate of Reactant B*((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/(((Rate Constant of B*Pressure of Gaseous A)/Henry Law Constant)*Effectiveness Factor of Reactant B*Solid Loading into Reactors)))

Rate Equation of Reactant B in G/L Reactions

Go Reaction Rate of Reactant B = (1/((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/((Rate Constant of B*Diffused Concentration of Reactant A)*Effectiveness Factor of Reactant B*Solid Loading into Reactors))))*Concentration of Liquid B

Concentration of Reactant B in G/L Reactions

Go Concentration of Liquid B = Reaction Rate of Reactant B*((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/((Rate Constant of B*Diffused Concentration of Reactant A)*Effectiveness Factor of Reactant B*Solid Loading into Reactors)))

External Area of Particle

Go External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle

Henry's Law Constant

Go Henry Law Constant = Partial Pressure of Reactant A/Reactant Concentration

Inner Area of Particle

Go Inner Area of Particle = Gas Liquid Interfacial Area/Volume of Reactor

Solid Loading

Go Solid Loading into Reactors = Volume of Particles/Volume of Reactor

Liquid Holdup

Go Liquid Holdup = Volume of Liquid Phase/Volume of Reactor

Rate Equation of Reactant A in G/L Reactions Formula

What is Effectiveness Factor?

The effectiveness factor in the context of solid catalyzed reactions is a dimensionless parameter that describes how effectively a catalyst is utilized in a chemical reaction. It is used to assess the impact of mass transfer limitations on the overall reaction rate.

What are G/L Reactions on Solid Catalysts?

In some chemical processes, reactions involve both gas and liquid phases, and solid catalysts can play a crucial role in facilitating these reactions. One common example is the use of solid catalysts in gas-liquid phase reactions in heterogeneous catalysis.

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

Rate Equation of Reactant A in G/L Reactions calculator 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 calculate 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 calculate Rate Equation of Reactant A in G/L Reactions using this online calculator? To use this online calculator 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. Here is how the Rate Equation of Reactant A in G/L Reactions calculation can be explained with given input values -> 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).

FAQ

What is Rate Equation of Reactant A in G/L Reactions?

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 and is represented as r_A''' = (1/((1/(k_Ag*a_i))+(H_A/(k_Al*a_i))+(H_A/(k_Ac*a_c))+(H_A/((k_A'''*C_B,d)*ξ_A*f_s)))*p_Ag) or 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). Gas Phase Mass Transfer Coefficient describes the diffusion rate constant of mass transfer between a gas phase and a liquid phase in a system, Inner Area of Particle typically refers to the surface area within the internal pores or voids of the particle, in G/L Reactions, 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 effectiveness of the mass transfer process, Film Coefficient of Catalyst on A represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface, External Area of Particle refers to the surface area on the outer surface of the particle, Rate Constant of A is Constant of rate of Reaction involving Reactant A where Volume of Catalyst is considered, 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, Effectiveness Factor of Reactant A is term used to measure the resistance to pore diffusion, in G/L Reactions, 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 & Pressure of Gaseous A refers to the the Pressure exerted by the Reactant A at the G/L interphase.

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

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 is calculated using 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 calculate Rate Equation of Reactant A in G/L Reactions, you need 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). With our tool, you need to enter the respective value for Gas Phase Mass Transfer Coefficient, Inner Area of Particle, Henry Law Constant, Liquid Phase Mass Transfer Coefficient, Film Coefficient of Catalyst on A, External Area of Particle, Rate Constant of A, Diffused Concentration of Reactant B, Effectiveness Factor of Reactant A, Solid Loading into Reactors & Pressure of Gaseous A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Reaction Rate of Reactant A?

In this formula, Reaction Rate of Reactant A uses Gas Phase Mass Transfer Coefficient, Inner Area of Particle, Henry Law Constant, Liquid Phase Mass Transfer Coefficient, Film Coefficient of Catalyst on A, External Area of Particle, Rate Constant of A, Diffused Concentration of Reactant B, Effectiveness Factor of Reactant A, Solid Loading into Reactors & Pressure of Gaseous A. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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