Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors Calculator

✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration [C_o]			+10% -10%
✖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.ⓘ Rate Constant for Second Order Reaction [k^'']			+10% -10%
✖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.ⓘ Space Time for Plug Flow Reactor [𝛕_p]			+10% -10%

✖The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors [C]

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Formula

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

Formula

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

Example

23.66304 mol/m³ = \frac{80 mol/m³}{1 + (80 mol/m³ \cdot 0.062 m³/(mol*s) \cdot 0.48 s)}

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

STEP 0: Pre-Calculation Summary

Formula Used

Reactant Concentration = Initial Reactant Concentration/(1+(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))
C = C_o/(1+(C_o*k^''*𝛕_p))
This formula uses 4 Variables

Variables Used

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.
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.
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

Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 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

C = C_o/(1+(C_o*k^''*𝛕_p)) --> 80/(1+(80*0.062*0.48))

Evaluating ... ...

C = 23.6630383341221

STEP 3: Convert Result to Output's Unit

23.6630383341221 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

23.6630383341221 ≈ 23.66304 Mole per Cubic Meter <-- Reactant Concentration

(Calculation completed in 00.004 seconds)

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< Design for Single Reactions Calculators

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

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

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

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

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

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

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

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

Go Initial Reactant Concentration = 1/((1/Reactant Concentration)-(Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))

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

Reactant Concentration = Initial Reactant Concentration/(1+(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor))
C = C_o/(1+(C_o*k^''*𝛕_p))

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 Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors?

Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors calculator uses Reactant Concentration = Initial Reactant Concentration/(1+(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor)) to calculate the Reactant Concentration, The Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the amount of reactant present at the respective time in a second-order reaction where the other reactant has the same concentration. Reactant Concentration is denoted by C symbol.

How to calculate Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors using this online calculator? To use this online calculator for Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors, enter Initial Reactant Concentration (C_o), Rate Constant for Second Order Reaction (k^'') & Space Time for Plug Flow Reactor (𝛕_p) and hit the calculate button. Here is how the Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors calculation can be explained with given input values -> 23.66304 = 80/(1+(80*0.062*0.48)).

FAQ

What is Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors?

The Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the amount of reactant present at the respective time in a second-order reaction where the other reactant has the same concentration and is represented as C = C_o/(1+(C_o*k^''*𝛕_p)) or Reactant Concentration = Initial Reactant Concentration/(1+(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor)). The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered 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 Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors?

The Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the amount of reactant present at the respective time in a second-order reaction where the other reactant has the same concentration is calculated using Reactant Concentration = Initial Reactant Concentration/(1+(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Space Time for Plug Flow Reactor)). To calculate Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors, you need Initial Reactant Concentration (C_o), Rate Constant for Second Order Reaction (k^'') & Space Time for Plug Flow Reactor (𝛕_p). With our tool, you need to enter the respective value for Initial 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.

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