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Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors Formula

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The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2. Check FAQs

k'' = (\frac{1}{C o \cdot 𝛕 p}) \cdot ((\frac{C o}{C}) - 1)

k^'' - Rate Constant for Second Order Reaction?C_o - Initial Reactant Concentration?𝛕_p - Space Time for Plug Flow Reactor?C - Reactant Concentration?

Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors Example

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Here is how the Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors equation looks like with Values.

Here is how the Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors equation looks like with Units.

Here is how the Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors equation looks like.

0.0608 = (\frac{1}{80 \cdot 0.48}) \cdot ((\frac{80}{24}) - 1)

0.0608m³/(mol*s) = (\frac{1}{80mol/m³ \cdot 0.48s}) \cdot ((\frac{80mol/m³}{24mol/m³}) - 1)

0.0608 = (\frac{1}{80 \cdot 0.48}) \cdot ((\frac{80}{24}) - 1)

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Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors Solution

Follow our step by step solution on how to calculate Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors?

FIRST Step Consider the formula

k'' = (\frac{1}{C o \cdot 𝛕 p}) \cdot ((\frac{C o}{C}) - 1)

Next Step Substitute values of Variables

∴

k'' = (\frac{1}{80mol/m³ \cdot 0.48s}) \cdot ((\frac{80mol/m³}{24mol/m³}) - 1)

Next Step Prepare to Evaluate

∴

k'' = (\frac{1}{80 \cdot 0.48}) \cdot ((\frac{80}{24}) - 1)

Next Step Evaluate

∴

k'' = 0.0607638888888889m³/(mol*s)

LAST Step Rounding Answer

∴

k'' = 0.0608m³/(mol*s)

Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors Formula Elements

Variables

Rate Constant for Second Order Reaction

The Rate Constant for Second Order Reaction 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 can be positive or negative.

Formulas to find Rate Constant for Second Order Reaction

Initial Reactant Concentration

The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.

Symbol: C_o

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration

Space Time for Plug Flow Reactor

Space Time for Plug Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor.

Symbol: 𝛕_p

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Space Time for Plug Flow Reactor

Reactant Concentration

The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.

Symbol: C

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Reactant Concentration

Other formulas in Design for Single Reactions category

Go Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate

trC2' = \frac{V i}{υ}

Go Space Time for First Order Reaction for Vessel i using Molar Flow Rate

trC2' = \frac{V i \cdot C o}{F 0}

Go Space Time for First Order Reaction for Vessel i using Reaction Rate

trC2' = \frac{C o \cdot (X i-1 - X i)}{r i}

Go Reaction Rate for Vessel i using Space Time

r i = \frac{C o \cdot (X i-1 - X i)}{𝛕 i}

How to Evaluate Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors?

Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors evaluator uses Rate Constant for Second Order Reaction = (1/(Initial Reactant Concentration*Space Time for Plug Flow Reactor))*((Initial Reactant Concentration/Reactant Concentration)-1) to evaluate the Rate Constant for Second Order Reaction, The Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the proportionality constant for second order reaction for plug flow reactor or infinite reactors. Rate Constant for Second Order Reaction is denoted by k^'' symbol.

How to evaluate Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors using this online evaluator? To use this online evaluator for Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors, enter Initial Reactant Concentration (C_o), Space Time for Plug Flow Reactor (𝛕_p) & Reactant Concentration (C) and hit the calculate button.

FAQs on Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors

What is the formula to find Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors?

The formula of Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors is expressed as Rate Constant for Second Order Reaction = (1/(Initial Reactant Concentration*Space Time for Plug Flow Reactor))*((Initial Reactant Concentration/Reactant Concentration)-1). Here is an example- 0.060764 = (1/(80*0.48))*((80/24)-1).

How to calculate Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors?

With Initial Reactant Concentration (C_o), Space Time for Plug Flow Reactor (𝛕_p) & Reactant Concentration (C) we can find Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors using the formula - Rate Constant for Second Order Reaction = (1/(Initial Reactant Concentration*Space Time for Plug Flow Reactor))*((Initial Reactant Concentration/Reactant Concentration)-1).

Can the Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors be negative?

Yes, the Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors, measured in Second Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors?

Rate Constant for Second Order Reaction for Plug Flow or Infinite Reactors 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 for Plug Flow or Infinite Reactors can be measured.

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