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The Rate Constant for Second Order in Batch Reactor is defined as the average rate of the reaction per concentration of the reactant having power raised to 2. Check FAQs
k''=(1𝛕BatchCo Batch)(XA Batch1-XA Batch)
k'' - Rate Constant for Second Order in Batch Reactor?𝛕Batch - Space Time in Batch Reactor?Co Batch - Initial Reactant Concentration in Batch Reactor?XA Batch - Reactant Conversion in Batch?

Rate Constant for Second Order Reaction using Space Time for Plug Flow Example

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Here is how the Rate Constant for Second Order Reaction using Space Time for Plug Flow equation looks like with Values.

Here is how the Rate Constant for Second Order Reaction using Space Time for Plug Flow equation looks like with Units.

Here is how the Rate Constant for Second Order Reaction using Space Time for Plug Flow equation looks like.

0.5905Edit=(10.051Edit81.5Edit)(0.7105Edit1-0.7105Edit)
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Rate Constant for Second Order Reaction using Space Time for Plug Flow Solution

Follow our step by step solution on how to calculate Rate Constant for Second Order Reaction using Space Time for Plug Flow?

FIRST Step Consider the formula
k''=(1𝛕BatchCo Batch)(XA Batch1-XA Batch)
Next Step Substitute values of Variables
k''=(10.051s81.5mol/m³)(0.71051-0.7105)
Next Step Prepare to Evaluate
k''=(10.05181.5)(0.71051-0.7105)
Next Step Evaluate
k''=0.590456257309286m³/(mol*s)
LAST Step Rounding Answer
k''=0.5905m³/(mol*s)

Rate Constant for Second Order Reaction using Space Time for Plug Flow Formula Elements

Variables
Rate Constant for Second Order in Batch Reactor
The Rate Constant for Second Order in Batch Reactor is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
Symbol: k''
Measurement: Second Order Reaction Rate ConstantUnit: m³/(mol*s)
Note: Value should be greater than 0.
Space Time in Batch Reactor
Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.
Symbol: 𝛕Batch
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Initial Reactant Concentration in Batch Reactor
The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.
Symbol: Co Batch
Measurement: Molar ConcentrationUnit: mol/m³
Note: Value should be greater than 0.
Reactant Conversion in Batch
Reactant Conversion in Batch gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
Symbol: XA Batch
Measurement: NAUnit: Unitless
Note: Value should be less than 1.

Other Formulas to find Rate Constant for Second Order in Batch Reactor

​Go Rate Constant for Second Order Reaction using Reactant Concentration for Plug Flow
k''=Co Batch-CBatch𝛕BatchCo BatchCBatch

Other formulas in Plug Flow or Batch category

​Go Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow
Co=Xmfr(1-Xmfr)2(𝛕mixed)(kmixed)
​Go Initial Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow
Co=kmixed flow𝛕mixedXmfr
​Go Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow
k'=(1𝛕mixed)(Co-CC)
​Go Rate Constant for First Order Reaction using Space Time for Mixed Flow
k'=(1𝛕mixed)(Xmfr1-Xmfr)

How to Evaluate Rate Constant for Second Order Reaction using Space Time for Plug Flow?

Rate Constant for Second Order Reaction using Space Time for Plug Flow evaluator uses Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch)) to evaluate the Rate Constant for Second Order in Batch Reactor, The Rate Constant for Second Order Reaction using Space Time for Plug Flow formula is defined as the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances. Rate Constant for Second Order in Batch Reactor is denoted by k'' symbol.

How to evaluate Rate Constant for Second Order Reaction using Space Time for Plug Flow using this online evaluator? To use this online evaluator for Rate Constant for Second Order Reaction using Space Time for Plug Flow, enter Space Time in Batch Reactor (𝛕Batch), Initial Reactant Concentration in Batch Reactor (Co Batch) & Reactant Conversion in Batch (XA Batch) and hit the calculate button.

FAQs on Rate Constant for Second Order Reaction using Space Time for Plug Flow

What is the formula to find Rate Constant for Second Order Reaction using Space Time for Plug Flow?
The formula of Rate Constant for Second Order Reaction using Space Time for Plug Flow is expressed as Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch)). Here is an example- 0.56137 = (1/(0.051*81.5))*(0.7105/(1-0.7105)).
How to calculate Rate Constant for Second Order Reaction using Space Time for Plug Flow?
With Space Time in Batch Reactor (𝛕Batch), Initial Reactant Concentration in Batch Reactor (Co Batch) & Reactant Conversion in Batch (XA Batch) we can find Rate Constant for Second Order Reaction using Space Time for Plug Flow using the formula - Rate Constant for Second Order in Batch Reactor = (1/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch)).
What are the other ways to Calculate Rate Constant for Second Order in Batch Reactor?
Here are the different ways to Calculate Rate Constant for Second Order in Batch Reactor-
  • Rate Constant for Second Order in Batch Reactor=(Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time in Batch Reactor)/(Space Time in Batch Reactor*Initial Reactant Concentration in Batch Reactor*Reactant Conc at any Time in Batch Reactor)OpenImg
Can the Rate Constant for Second Order Reaction using Space Time for Plug Flow be negative?
No, the Rate Constant for Second Order Reaction using Space Time for Plug Flow, measured in Second Order Reaction Rate Constant cannot be negative.
Which unit is used to measure Rate Constant for Second Order Reaction using Space Time for Plug Flow?
Rate Constant for Second Order Reaction using Space Time for Plug Flow is usually measured using the Cubic Meter per Mole Second[m³/(mol*s)] for Second Order Reaction Rate Constant. Cubic Meter per Kilomole Millisecond[m³/(mol*s)], Liter per Mole Second[m³/(mol*s)], Liter per Mole Millisecond[m³/(mol*s)] are the few other units in which Rate Constant for Second Order Reaction using Space Time for Plug Flow can be measured.
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