Rate of Reaction in Mixed Flow Reactor Containing Catalyst Calculator

✖The Molar Feed Rate of Reactant gives the number of moles of A being fed to the reactor per unit time.ⓘ Molar Feed Rate of Reactant [F_A0]			+10% -10%
✖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%
✖Weight of Catalyst is the measure of mass of Catalyst.ⓘ Weight of Catalyst [W]			+10% -10%

✖Rate of Reaction on Weight of Catalyst Pellets is Rate of Reaction calculated on weight of Catalyst pellets.ⓘ Rate of Reaction in Mixed Flow Reactor Containing Catalyst [r']

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Rate of Reaction in Mixed Flow Reactor Containing Catalyst

Formula

`"r'" = (("F"_{"A0"}*"X"_{"A,out"})/"W")`

Example

`"1.957667mol/m³*s"=(("5.034mol/s"*"0.7")/"1.8kg")`

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Rate of Reaction in Mixed Flow Reactor Containing Catalyst Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Reaction on Weight of Catalyst Pellets = ((Molar Feed Rate of Reactant*Reactant Conversion)/Weight of Catalyst)
r' = ((F_A0*X_A,out)/W)
This formula uses 4 Variables

Variables Used

Rate of Reaction on Weight of Catalyst Pellets - (Measured in Mole per Cubic Meter Second) - Rate of Reaction on Weight of Catalyst Pellets is Rate of Reaction calculated on weight of Catalyst pellets.
Molar Feed Rate of Reactant - (Measured in Mole per Second) - The Molar Feed Rate of Reactant gives the number of moles of A being fed to the reactor per unit time.
Reactant Conversion - Reactant conversion is a measure of the extent to which a reactant has been transformed into products in a chemical reaction.
Weight of Catalyst - (Measured in Kilogram) - Weight of Catalyst is the measure of mass of Catalyst.

STEP 1: Convert Input(s) to Base Unit

Molar Feed Rate of Reactant: 5.034 Mole per Second --> 5.034 Mole per Second No Conversion Required
Reactant Conversion: 0.7 --> No Conversion Required
Weight of Catalyst: 1.8 Kilogram --> 1.8 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r' = ((F_A0*X_A,out)/W) --> ((5.034*0.7)/1.8)

Evaluating ... ...

r' = 1.95766666666667

STEP 3: Convert Result to Output's Unit

1.95766666666667 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

1.95766666666667 ≈ 1.957667 Mole per Cubic Meter Second <-- Rate of Reaction on Weight of Catalyst 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 of Reaction in Mixed Flow Reactor Containing Catalyst Formula

Rate of Reaction on Weight of Catalyst Pellets = ((Molar Feed Rate of Reactant*Reactant Conversion)/Weight of Catalyst)
r' = ((F_A0*X_A,out)/W)

What are Mixed Flow Reactors ?

A Mixed-Flow Reactor (MFR), also known as a Continuous Stirred-Tank Reactor (CSTR), is a type of chemical reactor design commonly used in industrial processes and laboratory experiments. The key feature of a mixed-flow reactor is that the contents of the reactor are well mixed, ensuring uniform composition throughout the reactor at any given moment.

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 of Reaction in Mixed Flow Reactor Containing Catalyst?

Rate of Reaction in Mixed Flow Reactor Containing Catalyst calculator uses Rate of Reaction on Weight of Catalyst Pellets = ((Molar Feed Rate of Reactant*Reactant Conversion)/Weight of Catalyst) to calculate the Rate of Reaction on Weight of Catalyst Pellets, The Rate of Reaction in Mixed Flow Reactor Containing Catalyst formula is defined as Reaction Rate calculated using Flow Rate and Weight of Catalyst Pellets. It is Calculated by finding Ratio between Initial Flow Rate of Reactant and Weight of Catalyst Pellets. Rate of Reaction on Weight of Catalyst Pellets is denoted by r' symbol.

How to calculate Rate of Reaction in Mixed Flow Reactor Containing Catalyst using this online calculator? To use this online calculator for Rate of Reaction in Mixed Flow Reactor Containing Catalyst, enter Molar Feed Rate of Reactant (F_A0), Reactant Conversion (X_A,out) & Weight of Catalyst (W) and hit the calculate button. Here is how the Rate of Reaction in Mixed Flow Reactor Containing Catalyst calculation can be explained with given input values -> 1.957667 = ((5.034*0.7)/1.8).

FAQ

What is Rate of Reaction in Mixed Flow Reactor Containing Catalyst?

The Rate of Reaction in Mixed Flow Reactor Containing Catalyst formula is defined as Reaction Rate calculated using Flow Rate and Weight of Catalyst Pellets. It is Calculated by finding Ratio between Initial Flow Rate of Reactant and Weight of Catalyst Pellets and is represented as r' = ((F_A0*X_A,out)/W) or Rate of Reaction on Weight of Catalyst Pellets = ((Molar Feed Rate of Reactant*Reactant Conversion)/Weight of Catalyst). The Molar Feed Rate of Reactant gives the number of moles of A being fed to the reactor per unit time, Reactant conversion is a measure of the extent to which a reactant has been transformed into products in a chemical reaction & Weight of Catalyst is the measure of mass of Catalyst.

How to calculate Rate of Reaction in Mixed Flow Reactor Containing Catalyst?

The Rate of Reaction in Mixed Flow Reactor Containing Catalyst formula is defined as Reaction Rate calculated using Flow Rate and Weight of Catalyst Pellets. It is Calculated by finding Ratio between Initial Flow Rate of Reactant and Weight of Catalyst Pellets is calculated using Rate of Reaction on Weight of Catalyst Pellets = ((Molar Feed Rate of Reactant*Reactant Conversion)/Weight of Catalyst). To calculate Rate of Reaction in Mixed Flow Reactor Containing Catalyst, you need Molar Feed Rate of Reactant (F_A0), Reactant Conversion (X_A,out) & Weight of Catalyst (W). With our tool, you need to enter the respective value for Molar Feed Rate of Reactant, Reactant Conversion & 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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