Rate Equation of Reactant B in G/L Reactions Calculator

✖Film Coefficient of Catalyst on B represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface.ⓘ Film Coefficient of Catalyst on B [k_Bc]			+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 B is Constant of rate of Reaction involving Reactant B where Volume of Catalyst is considered.ⓘ Rate Constant of B [k_B''']			+10% -10%
✖Diffused Concentration of Reactant A refers to the concentration profile of that reactant A as it diffuses from the bulk fluid to the surface of a catalyst particle.ⓘ Diffused Concentration of Reactant A [C_A,d]			+10% -10%
✖Effectiveness Factor of Reactant B is term used to measure the resistance to pore diffusion, in G/L Reactions.ⓘ Effectiveness Factor of Reactant B [ξ_B]			+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%
✖Concentration of Liquid B refers to the Liquid Phase of the Reactant B.ⓘ Concentration of Liquid B [C_Bl]			+10% -10%

✖Reaction Rate of Reactant B is the Reaction rate Calculated based on Volume of Catalyst pellets, where Catalyst is present in the Reactor, in Reaction involving B.ⓘ Rate Equation of Reactant B in G/L Reactions [r_B''']

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Rate Equation of Reactant B in G/L Reactions

Formula

`("r"_{"B"}"'''") = (1/((1/("k"_{"Bc"}*"a"_{"c"}))+(1/((("k"_{"B"}"'''")*"C"_{"A,d"})*"ξ"_{"B"}*"f"_{"s"}))))*"C"_{"Bl"}`

Example

`"0.599492mol/m³*s"=(1/((1/("0.89m/s"*"0.045m²"))+(1/(("1.65s⁻¹"*"13.87mol/m³")*"0.86"*"0.97"))))*"15mol/m³"`

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Rate Equation of Reactant B in G/L Reactions Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
r_B''' = (1/((1/(k_Bc*a_c))+(1/((k_B'''*C_A,d)*ξ_B*f_s))))*C_Bl
This formula uses 8 Variables

Variables Used

Reaction Rate of Reactant B - (Measured in Mole per Cubic Meter Second) - Reaction Rate of Reactant B is the Reaction rate Calculated based on Volume of Catalyst pellets, where Catalyst is present in the Reactor, in Reaction involving B.
Film Coefficient of Catalyst on B - (Measured in Meter per Second) - Film Coefficient of Catalyst on B 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 B - (Measured in 1 Per Second) - Rate Constant of B is Constant of rate of Reaction involving Reactant B where Volume of Catalyst is considered.
Diffused Concentration of Reactant A - (Measured in Mole per Cubic Meter) - Diffused Concentration of Reactant A refers to the concentration profile of that reactant A as it diffuses from the bulk fluid to the surface of a catalyst particle.
Effectiveness Factor of Reactant B - Effectiveness Factor of Reactant B 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.
Concentration of Liquid B - (Measured in Mole per Cubic Meter) - Concentration of Liquid B refers to the Liquid Phase of the Reactant B.

STEP 1: Convert Input(s) to Base Unit

Film Coefficient of Catalyst on B: 0.89 Meter per Second --> 0.89 Meter per Second No Conversion Required
External Area of Particle: 0.045 Square Meter --> 0.045 Square Meter No Conversion Required
Rate Constant of B: 1.65 1 Per Second --> 1.65 1 Per Second No Conversion Required
Diffused Concentration of Reactant A: 13.87 Mole per Cubic Meter --> 13.87 Mole per Cubic Meter No Conversion Required
Effectiveness Factor of Reactant B: 0.86 --> No Conversion Required
Solid Loading into Reactors: 0.97 --> No Conversion Required
Concentration of Liquid B: 15 Mole per Cubic Meter --> 15 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_B''' = (1/((1/(k_Bc*a_c))+(1/((k_B'''*C_A,d)*ξ_B*f_s))))*C_Bl --> (1/((1/(0.89*0.045))+(1/((1.65*13.87)*0.86*0.97))))*15

Evaluating ... ...

r_B''' = 0.599492362194827

STEP 3: Convert Result to Output's Unit

0.599492362194827 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

0.599492362194827 ≈ 0.599492 Mole per Cubic Meter Second <-- Reaction Rate of Reactant B

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Reactions Catalyzed by Solids » G/L Reactions on Solid Catalysts » Rate Equation of Reactant B in G/L Reactions

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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 B 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 B in G/L Reactions?

Rate Equation of Reactant B in G/L Reactions calculator uses 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 to calculate the Reaction Rate of Reactant B, The Rate Equation of Reactant B in G/L Reactions formula is defined as the Rate of Reactant B calculated when the Liquid B is considered for Rate Calculation. Reaction Rate of Reactant B is denoted by r_B''' symbol.

How to calculate Rate Equation of Reactant B in G/L Reactions using this online calculator? To use this online calculator for Rate Equation of Reactant B in G/L Reactions, enter Film Coefficient of Catalyst on B (k_Bc), External Area of Particle (a_c), Rate Constant of B (k_B'''), Diffused Concentration of Reactant A (C_A,d), Effectiveness Factor of Reactant B (ξ_B), Solid Loading into Reactors (f_s) & Concentration of Liquid B (C_Bl) and hit the calculate button. Here is how the Rate Equation of Reactant B in G/L Reactions calculation can be explained with given input values -> 0.599623 = (1/((1/(0.89*0.045))+(1/((1.65*13.87)*0.86*0.97))))*15.

FAQ

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

The Rate Equation of Reactant B in G/L Reactions formula is defined as the Rate of Reactant B calculated when the Liquid B is considered for Rate Calculation and is represented as r_B''' = (1/((1/(k_Bc*a_c))+(1/((k_B'''*C_A,d)*ξ_B*f_s))))*C_Bl or 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. Film Coefficient of Catalyst on B 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 B is Constant of rate of Reaction involving Reactant B where Volume of Catalyst is considered, Diffused Concentration of Reactant A refers to the concentration profile of that reactant A as it diffuses from the bulk fluid to the surface of a catalyst particle, Effectiveness Factor of Reactant B 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 & Concentration of Liquid B refers to the Liquid Phase of the Reactant B.

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

The Rate Equation of Reactant B in G/L Reactions formula is defined as the Rate of Reactant B calculated when the Liquid B is considered for Rate Calculation is calculated using 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. To calculate Rate Equation of Reactant B in G/L Reactions, you need Film Coefficient of Catalyst on B (k_Bc), External Area of Particle (a_c), Rate Constant of B (k_B'''), Diffused Concentration of Reactant A (C_A,d), Effectiveness Factor of Reactant B (ξ_B), Solid Loading into Reactors (f_s) & Concentration of Liquid B (C_Bl). With our tool, you need to enter the respective value for Film Coefficient of Catalyst on B, External Area of Particle, Rate Constant of B, Diffused Concentration of Reactant A, Effectiveness Factor of Reactant B, Solid Loading into Reactors & Concentration of Liquid B 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 B?

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

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

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