Rate Constant for Mixed Flow Reactor with Volume of Catalyst Calculator

✖Reactant conversion is a measure of the extent to which a reactant has been transformed into products in a chemical reaction.ⓘ Reactant Conversion [X_A,out]			+10% -10%
✖Fractional Volume Change is the ratio of the change in volume and the initial volume.ⓘ Fractional Volume Change [ε]			+10% -10%
✖Space Time based on Volume of Catalyst is space time calculated based on Catalyst Volume.ⓘ Space Time based on Volume of Catalyst [𝛕''']			+10% -10%

✖Rate Const. on Volume of Pellets is Constant of rate where Volume of Catalyst is considered.ⓘ Rate Constant for Mixed Flow Reactor with Volume of Catalyst [k''']

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Rate Constant for Mixed Flow Reactor with Volume of Catalyst

Formula

`"k'''" = ("X"_{"A,out"}*(1+"ε"*"X"_{"A,out"}))/((1-"X"_{"A,out"})*"𝛕'''")`

Example

`"1.823065s⁻¹"=("0.7"*(1+"0.22"*"0.7"))/((1-"0.7")*"1.477s")`

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Rate Constant for Mixed Flow Reactor with Volume of Catalyst Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst)
k''' = (X_A,out*(1+ε*X_A,out))/((1-X_A,out)*𝛕''')
This formula uses 4 Variables

Variables Used

Rate Const. on Volume of Pellets - (Measured in 1 Per Second) - Rate Const. on Volume of Pellets is Constant of rate where Volume of Catalyst is considered.
Reactant Conversion - Reactant conversion is a measure of the extent to which a reactant has been transformed into products in a chemical reaction.
Fractional Volume Change - Fractional Volume Change is the ratio of the change in volume and the initial volume.
Space Time based on Volume of Catalyst - (Measured in Second) - Space Time based on Volume of Catalyst is space time calculated based on Catalyst Volume.

STEP 1: Convert Input(s) to Base Unit

Reactant Conversion: 0.7 --> No Conversion Required
Fractional Volume Change: 0.22 --> No Conversion Required
Space Time based on Volume of Catalyst: 1.477 Second --> 1.477 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k''' = (X_A,out*(1+ε*X_A,out))/((1-X_A,out)*𝛕''') --> (0.7*(1+0.22*0.7))/((1-0.7)*1.477)

Evaluating ... ...

k''' = 1.82306477093207

STEP 3: Convert Result to Output's Unit

1.82306477093207 1 Per Second --> No Conversion Required

FINAL ANSWER

1.82306477093207 ≈ 1.823065 1 Per Second <-- Rate Const. on Volume of Pellets

(Calculation completed in 00.004 seconds)

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< 10+ Solid Catalyzed Reactions Calculators

Mass Transfer Coefficient of Fluid passing through Single Particle

Go Overall Gas Phase Mass Transfer Coefficient = (2+0.6*(((Density*Velocity in Tube*Diameter of Tube)/Dynamic Viscosity of Liquid)^(1/2))*((Dynamic Viscosity of Liquid/(Density*Diffusivity of Flow))^(1/3)))*(Diffusivity of Flow/Diameter of Tube)

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order

Go Initial Concentration of Reactant = Reactant Concentration*(exp((Reaction Rate based on Volume of Catalyst Pellets*Solid Fraction*Height of Catalyst Bed)/Superficial Gas Velocity))

Rate Constant for Mixed Flow Reactor with Weight of Catalyst

Go Rate Const. based on Weight of Catalyst = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time for Reaction for Weight of Catalyst)

Space Time of Mixed Flow Reactor with Weight of Catalyst

Go Space Time for Reaction for Weight of Catalyst = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Rate Const. based on Weight of Catalyst)

Rate Constant for Mixed Flow Reactor with Volume of Catalyst

Go Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst)

Space Time of Mixed Flow Reactor with Volume of Catalyst

Go Space Time based on Volume of Catalyst = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Rate Const. on Volume of Pellets)

Mass Transfer Coefficient of Fluid passing through Packed Bed of Particles

Go Overall Gas Phase Mass Transfer Coefficient = (2+1.8*((Reynolds Number)^(1/2)*(Schimdt Number)^(1/3)))*(Diffusivity of Flow/Diameter of Tube)

Rate of Reaction in Mixed Flow Reactor Containing Catalyst

Go Rate of Reaction on Weight of Catalyst Pellets = ((Molar Feed Rate of Reactant*Reactant Conversion)/Weight of Catalyst)

Thiele Modulus

Go Thiele Modulus = Length of Catalyst Pore*sqrt(Rate Constant/Diffusion Coefficient)

Effectiveness Factor at First Order

Go Effectiveness Factor = tanh(Thiele Modulus)/Thiele Modulus

Rate Constant for Mixed Flow Reactor with Volume of Catalyst Formula

What is k''' ?

k''' is Rate Constant for Rate of Reaction Calculated on the basis of Volume of Catalyst pellets, when considered in the Chemical Reaction.

What is ε ?

The effectiveness factor(ε) is a dimensionless parameter that quantifies how efficiently a catalyst is utilized in a chemical reaction. It is particularly relevant in reactions involving porous catalysts, where the reaction takes place on the surface of the catalyst particles.

How to Calculate Rate Constant for Mixed Flow Reactor with Volume of Catalyst?

Rate Constant for Mixed Flow Reactor with Volume of Catalyst calculator uses Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst) to calculate the Rate Const. on Volume of Pellets, The Rate Constant for Mixed Flow Reactor with Volume of Catalyst formula is defined as Rate Constant Calculated using Reactant conversion, Fractional Conversion and Space Time Calculated when Volume of Catalyst is considered. The Rate Expression for a First-Order Reaction in the presence of a Catalyst is often modified to incorporate the Catalyst's Effect. Rate Const. on Volume of Pellets is denoted by k''' symbol.

How to calculate Rate Constant for Mixed Flow Reactor with Volume of Catalyst using this online calculator? To use this online calculator for Rate Constant for Mixed Flow Reactor with Volume of Catalyst, enter Reactant Conversion (X_A,out), Fractional Volume Change (ε) & Space Time based on Volume of Catalyst (𝛕''') and hit the calculate button. Here is how the Rate Constant for Mixed Flow Reactor with Volume of Catalyst calculation can be explained with given input values -> 0.946456 = (0.7*(1+0.22*0.7))/((1-0.7)*1.477).

FAQ

What is Rate Constant for Mixed Flow Reactor with Volume of Catalyst?

The Rate Constant for Mixed Flow Reactor with Volume of Catalyst formula is defined as Rate Constant Calculated using Reactant conversion, Fractional Conversion and Space Time Calculated when Volume of Catalyst is considered. The Rate Expression for a First-Order Reaction in the presence of a Catalyst is often modified to incorporate the Catalyst's Effect and is represented as k''' = (X_A,out*(1+ε*X_A,out))/((1-X_A,out)*𝛕''') or Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst). Reactant conversion is a measure of the extent to which a reactant has been transformed into products in a chemical reaction, Fractional Volume Change is the ratio of the change in volume and the initial volume & Space Time based on Volume of Catalyst is space time calculated based on Catalyst Volume.

How to calculate Rate Constant for Mixed Flow Reactor with Volume of Catalyst?

The Rate Constant for Mixed Flow Reactor with Volume of Catalyst formula is defined as Rate Constant Calculated using Reactant conversion, Fractional Conversion and Space Time Calculated when Volume of Catalyst is considered. The Rate Expression for a First-Order Reaction in the presence of a Catalyst is often modified to incorporate the Catalyst's Effect is calculated using Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst). To calculate Rate Constant for Mixed Flow Reactor with Volume of Catalyst, you need Reactant Conversion (X_A,out), Fractional Volume Change (ε) & Space Time based on Volume of Catalyst (𝛕'''). With our tool, you need to enter the respective value for Reactant Conversion, Fractional Volume Change & Space Time based on Volume of Catalyst 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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