Rate Constant for Mixed Flow Reactor with Weight 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 for Reaction for Weight of Catalyst is Space Time calculated when Catalyst is present.ⓘ Space Time for Reaction for Weight of Catalyst [𝛕']			+10% -10%

✖Rate Const. based on Weight of Catalyst is constant for Rate of Reaction, for Solid Catalyzed Reactions.ⓘ Rate Constant for Mixed Flow Reactor with Weight of Catalyst [k ']

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Rate Constant for Mixed Flow Reactor with Weight of Catalyst

Formula

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

Example

`"0.989951s⁻¹"=("0.7"*(1+"0.22"*"0.7"))/((1-"0.7")*"2.72s")`

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Rate Constant for Mixed Flow Reactor with Weight of Catalyst Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
k ' = (X_A,out*(1+ε*X_A,out))/((1-X_A,out)*𝛕')
This formula uses 4 Variables

Variables Used

Rate Const. based on Weight of Catalyst - (Measured in 1 Per Second) - Rate Const. based on Weight of Catalyst is constant for Rate of Reaction, for Solid Catalyzed Reactions.
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 for Reaction for Weight of Catalyst - (Measured in Second) - Space Time for Reaction for Weight of Catalyst is Space Time calculated when Catalyst is present.

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 for Reaction for Weight of Catalyst: 2.72 Second --> 2.72 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)*2.72)

Evaluating ... ...

k ' = 0.989950980392156

STEP 3: Convert Result to Output's Unit

0.989950980392156 1 Per Second --> No Conversion Required

FINAL ANSWER

0.989950980392156 ≈ 0.989951 1 Per Second <-- Rate Const. based on Weight of Catalyst

(Calculation completed in 00.004 seconds)

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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 Weight of Catalyst Formula

What is Fractional Volume Change ?

Fractional volume change, often denoted as ε, represents the ratio of the change in volume to the initial volume of a substance or system. This ratio is expressed as a fraction or percentage and is commonly used in the context of physical and chemical processes where volume changes occur.

What are Solid Catalyzed Reactions ?

Solid-catalyzed reactions refer to chemical reactions where a solid material, known as a catalyst, facilitates the transformation of reactants into products without itself undergoing any significant change in composition. The use of solid catalysts is widespread in various industrial processes and research applications.

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

Rate Constant for Mixed Flow Reactor with Weight of Catalyst calculator uses 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) to calculate the Rate Const. based on Weight of Catalyst, The Rate Constant for Mixed Flow Reactor with Weight of Catalyst formula is defined as Rate Constant Calculated using Space Time of Reactor when Catalyst Weight is Considered, Reactant Conversion and Fractional Conversion. Rate Const. based on Weight of Catalyst is denoted by k ' symbol.

How to calculate Rate Constant for Mixed Flow Reactor with Weight of Catalyst using this online calculator? To use this online calculator for Rate Constant for Mixed Flow Reactor with Weight of Catalyst, enter Reactant Conversion (X_A,out), Fractional Volume Change (ε) & Space Time for Reaction for Weight of Catalyst (𝛕') and hit the calculate button. Here is how the Rate Constant for Mixed Flow Reactor with Weight of Catalyst calculation can be explained with given input values -> 0.989951 = (0.7*(1+0.22*0.7))/((1-0.7)*2.72).

FAQ

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

The Rate Constant for Mixed Flow Reactor with Weight of Catalyst formula is defined as Rate Constant Calculated using Space Time of Reactor when Catalyst Weight is Considered, Reactant Conversion and Fractional Conversion and is represented as k ' = (X_A,out*(1+ε*X_A,out))/((1-X_A,out)*𝛕') or 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). 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 for Reaction for Weight of Catalyst is Space Time calculated when Catalyst is present.

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

The Rate Constant for Mixed Flow Reactor with Weight of Catalyst formula is defined as Rate Constant Calculated using Space Time of Reactor when Catalyst Weight is Considered, Reactant Conversion and Fractional Conversion is calculated using 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). To calculate Rate Constant for Mixed Flow Reactor with Weight of Catalyst, you need Reactant Conversion (X_A,out), Fractional Volume Change (ε) & Space Time for Reaction for Weight of Catalyst (𝛕'). With our tool, you need to enter the respective value for Reactant Conversion, Fractional Volume Change & Space Time for Reaction for Weight 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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