Rate Constant for Mixed Flow Reactor with Volume of Catalyst Formula

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Rate Const. on Volume of Pellets is Constant of rate where Volume of Catalyst is considered. Check FAQs
k'''=XA,out(1+εXA,out)(1-XA,out)𝛕'''
k''' - Rate Const. on Volume of Pellets?XA,out - Reactant Conversion?ε - Fractional Volume Change?𝛕''' - Space Time based on Volume of Catalyst?

Rate Constant for Mixed Flow Reactor with Volume of Catalyst Example

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Here is how the Rate Constant for Mixed Flow Reactor with Volume of Catalyst equation looks like with Values.

Here is how the Rate Constant for Mixed Flow Reactor with Volume of Catalyst equation looks like with Units.

Here is how the Rate Constant for Mixed Flow Reactor with Volume of Catalyst equation looks like.

1.8231Edit=0.7Edit(1+0.22Edit0.7Edit)(1-0.7Edit)1.477Edit
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Rate Constant for Mixed Flow Reactor with Volume of Catalyst Solution

Follow our step by step solution on how to calculate Rate Constant for Mixed Flow Reactor with Volume of Catalyst?

FIRST Step Consider the formula
k'''=XA,out(1+εXA,out)(1-XA,out)𝛕'''
Next Step Substitute values of Variables
k'''=0.7(1+0.220.7)(1-0.7)1.477s
Next Step Prepare to Evaluate
k'''=0.7(1+0.220.7)(1-0.7)1.477
Next Step Evaluate
k'''=1.82306477093207s⁻¹
LAST Step Rounding Answer
k'''=1.8231s⁻¹

Rate Constant for Mixed Flow Reactor with Volume of Catalyst Formula Elements

Variables
Rate Const. on Volume of Pellets
Rate Const. on Volume of Pellets is Constant of rate where Volume of Catalyst is considered.
Symbol: k'''
Measurement: First Order Reaction Rate ConstantUnit: s⁻¹
Note: Value should be greater than 0.
Reactant Conversion
Reactant conversion is a measure of the extent to which a reactant has been transformed into products in a chemical reaction.
Symbol: XA,out
Measurement: NAUnit: Unitless
Note: Value should be less than 1.
Fractional Volume Change
Fractional Volume Change is the ratio of the change in volume and the initial volume.
Symbol: ε
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Space Time based on Volume of Catalyst
Space Time based on Volume of Catalyst is space time calculated based on Catalyst Volume.
Symbol: 𝛕'''
Measurement: TimeUnit: s
Note: Value should be greater than 0.

Other formulas in Solid Catalyzed Reactions category

​Go Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order
CAO=C(exp(ra'''fHu0))
​Go Rate of Reaction in Mixed Flow Reactor Containing Catalyst
r'=(FA0XA,outW)
​Go Rate Constant for Mixed Flow Reactor with Weight of Catalyst
k '=XA,out(1+εXA,out)(1-XA,out)𝛕'
​Go Space Time of Mixed Flow Reactor with Weight of Catalyst
𝛕'=XA,out(1+εXA,out)(1-XA,out)k '

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

Rate Constant for Mixed Flow Reactor with Volume of Catalyst evaluator 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 evaluate 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 evaluate Rate Constant for Mixed Flow Reactor with Volume of Catalyst using this online evaluator? To use this online evaluator for Rate Constant for Mixed Flow Reactor with Volume of Catalyst, enter Reactant Conversion (XA,out), Fractional Volume Change (ε) & Space Time based on Volume of Catalyst (𝛕''') and hit the calculate button.

FAQs on Rate Constant for Mixed Flow Reactor with Volume of Catalyst

What is the formula to find Rate Constant for Mixed Flow Reactor with Volume of Catalyst?
The formula of Rate Constant for Mixed Flow Reactor with Volume of Catalyst is expressed as Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst). Here is an example- 0.946456 = (0.7*(1+0.22*0.7))/((1-0.7)*1.477).
How to calculate Rate Constant for Mixed Flow Reactor with Volume of Catalyst?
With Reactant Conversion (XA,out), Fractional Volume Change (ε) & Space Time based on Volume of Catalyst (𝛕''') we can find Rate Constant for Mixed Flow Reactor with Volume of Catalyst using the formula - Rate Const. on Volume of Pellets = (Reactant Conversion*(1+Fractional Volume Change*Reactant Conversion))/((1-Reactant Conversion)*Space Time based on Volume of Catalyst).
Can the Rate Constant for Mixed Flow Reactor with Volume of Catalyst be negative?
No, the Rate Constant for Mixed Flow Reactor with Volume of Catalyst, measured in First Order Reaction Rate Constant cannot be negative.
Which unit is used to measure Rate Constant for Mixed Flow Reactor with Volume of Catalyst?
Rate Constant for Mixed Flow Reactor with Volume of Catalyst is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant for Mixed Flow Reactor with Volume of Catalyst can be measured.
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