Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))
Co = 1/((1/C)-(k''*𝛕p))
This formula uses 4 Variables
Variables Used
Initial Reactant Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.
Reactant Concentration - (Measured in Mole per Cubic Meter) - The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.
Rate Constant for Second Order Reaction - (Measured in Cubic Meter per Mole Second) - 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.
Space Time for Plug Flow Reactor - (Measured in Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Reactant Concentration: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required
Rate Constant for Second Order Reaction: 0.062 Cubic Meter per Mole Second --> 0.062 Cubic Meter per Mole Second No Conversion Required
Space Time for Plug Flow Reactor: 0.48 Second --> 0.48 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Co = 1/((1/C)-(k''*𝛕p)) --> 1/((1/24)-(0.062*0.48))
Evaluating ... ...
Co = 83.986562150056
STEP 3: Convert Result to Output's Unit
83.986562150056 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
83.986562150056 83.98656 Mole per Cubic Meter <-- Initial Reactant Concentration
(Calculation completed in 00.020 seconds)

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Design for Single Reactions Calculators

Space Time for First Order Reaction for Vessel i using Reaction Rate
​ LaTeX ​ Go Adjusted Retention Time of Comp 2 = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Reaction Rate for Vessel i
Reaction Rate for Vessel i using Space Time
​ LaTeX ​ Go Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i
Space Time for First Order Reaction for Vessel i using Molar Flow Rate
​ LaTeX ​ Go Adjusted Retention Time of Comp 2 = (Volume of Vessel i*Initial Reactant Concentration)/Molar Feed Rate
Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate
​ LaTeX ​ Go Adjusted Retention Time of Comp 2 = Volume of Vessel i/Volumetric Flow Rate

Important Formulas in Design of Reactors and Recycle Reactors for Single Reactions Calculators

Initial Reactant Concentration for First Order Reaction using Reaction Rate
​ LaTeX ​ Go Initial Reactant Concentration = (Adjusted Retention Time of Comp 2*Reaction Rate for Vessel i)/(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i)
Initial Reactant Concentration for First Order Reaction in Vessel i
​ LaTeX ​ Go Reactant Concentration in Vessel i-1 = Reactant Concentration in Vessel i*(1+(Rate Constant for First Order Reaction*Adjusted Retention Time of Comp 2))
Reactant Concentration for First Order Reaction in Vessel i
​ LaTeX ​ Go Reactant Concentration in Vessel i = Reactant Concentration in Vessel i-1/(1+(Rate Constant for First Order Reaction*Adjusted Retention Time of Comp 2))
Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors
​ LaTeX ​ Go Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))

Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors Formula

​LaTeX ​Go
Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))
Co = 1/((1/C)-(k''*𝛕p))

What is Plug Flow Reactor?

The plug flow reactor model (PFR, sometimes called continuous tubular reactor, CTR) is normally the name given to a model used in chemical engineering to describe chemical reactions in continuous, flowing systems of cylindrical geometry. The PFR model is used to predict the behaviour of chemical reactors of tubular design, so that key reactor variables, such as the dimensions of the reactor, can be estimated.

What is second order reaction?

Second order reactions can be defined as chemical reactions wherein the sum of the exponents in the corresponding rate law of the chemical reaction is equal to two.

How to Calculate Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors?

Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors calculator uses Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor)) to calculate the Initial Reactant Concentration, The Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the concentration of reactant before the considered reaction for second order reaction for plug flow for reactants with same concentration. Initial Reactant Concentration is denoted by Co symbol.

How to calculate Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors using this online calculator? To use this online calculator for Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors, enter Reactant Concentration (C), Rate Constant for Second Order Reaction (k'') & Space Time for Plug Flow Reactor (𝛕p) and hit the calculate button. Here is how the Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors calculation can be explained with given input values -> 83.98656 = 1/((1/24)-(0.062*0.48)).

FAQ

What is Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors?
The Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the concentration of reactant before the considered reaction for second order reaction for plug flow for reactants with same concentration and is represented as Co = 1/((1/C)-(k''*𝛕p)) or Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor)). The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process, 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 & 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.
How to calculate Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors?
The Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the concentration of reactant before the considered reaction for second order reaction for plug flow for reactants with same concentration is calculated using Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor)). To calculate Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors, you need Reactant Concentration (C), Rate Constant for Second Order Reaction (k'') & Space Time for Plug Flow Reactor (𝛕p). With our tool, you need to enter the respective value for Reactant Concentration, Rate Constant for Second Order Reaction & Space Time for Plug Flow Reactor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Initial Reactant Concentration?
In this formula, Initial Reactant Concentration uses Reactant Concentration, Rate Constant for Second Order Reaction & Space Time for Plug Flow Reactor. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Initial Reactant Concentration = (Space Time for Vessel i*Molar Feed Rate)/Volume of Vessel i
  • Initial Reactant Concentration = (Adjusted Retention Time of Comp 2*Reaction Rate for Vessel i)/(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i)
  • Initial Reactant Concentration = (Adjusted Retention Time of Comp 2*Reaction Rate for Vessel i)/(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i)
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