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

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Space Time for Second Order Reaction for Plug Flow or Infinite Reactors Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Reactant Concentration: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛕_p = (1/(C_o*k^''))*((C_o/C)-1) --> (1/(80*0.062))*((80/24)-1)

Evaluating ... ...

𝛕_p = 0.470430107526882

STEP 3: Convert Result to Output's Unit

0.470430107526882 Second --> No Conversion Required

FINAL ANSWER

0.470430107526882 ≈ 0.47043 Second <-- Space Time for Plug Flow Reactor

(Calculation completed in 00.130 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))

Space Time for Second Order Reaction for Plug Flow or Infinite Reactors Formula

LaTeX Go

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 Space Time for Second Order Reaction for Plug Flow or Infinite Reactors?

Space Time for Second Order Reaction for Plug Flow or Infinite Reactors calculator uses Space Time for Plug Flow Reactor = (1/(Initial Reactant Concentration*Rate Constant for Second Order Reaction))*((Initial Reactant Concentration/Reactant Concentration)-1) to calculate the Space Time for Plug Flow Reactor, The Space Time for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is considerable for plug flow. Space Time for Plug Flow Reactor is denoted by 𝛕_p symbol.

How to calculate Space Time for Second Order Reaction for Plug Flow or Infinite Reactors using this online calculator? To use this online calculator for Space Time for Second Order Reaction for Plug Flow or Infinite Reactors, enter Initial Reactant Concentration (C_o), Rate Constant for Second Order Reaction (k^'') & Reactant Concentration (C) and hit the calculate button. Here is how the Space Time for Second Order Reaction for Plug Flow or Infinite Reactors calculation can be explained with given input values -> 0.47043 = (1/(80*0.062))*((80/24)-1).

FAQ

What is Space Time for Second Order Reaction for Plug Flow or Infinite Reactors?

The Space Time for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is considerable for plug flow and is represented as 𝛕_p = (1/(C_o*k^''))*((C_o/C)-1) or Space Time for Plug Flow Reactor = (1/(Initial Reactant Concentration*Rate Constant for Second Order Reaction))*((Initial Reactant Concentration/Reactant Concentration)-1). 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 & The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.

How to calculate Space Time for Second Order Reaction for Plug Flow or Infinite Reactors?

The Space Time for Second Order Reaction for Plug Flow or Infinite Reactors formula is defined as the time necessary to process volume of reactor fluid for first order reaction where fractional volume change is considerable for plug flow is calculated using Space Time for Plug Flow Reactor = (1/(Initial Reactant Concentration*Rate Constant for Second Order Reaction))*((Initial Reactant Concentration/Reactant Concentration)-1). To calculate Space Time for Second Order Reaction for Plug Flow or Infinite Reactors, you need Initial Reactant Concentration (C_o), Rate Constant for Second Order Reaction (k^'') & Reactant Concentration (C). With our tool, you need to enter the respective value for Initial Reactant Concentration, Rate Constant for Second Order Reaction & Reactant Concentration 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 Space Time for Plug Flow Reactor?

In this formula, Space Time for Plug Flow Reactor uses Initial Reactant Concentration, Rate Constant for Second Order Reaction & Reactant Concentration. We can use 2 other way(s) to calculate the same, which is/are as follows -

Space Time for Plug Flow Reactor = (1/Rate Constant for First Order Reaction)*ln(Initial Reactant Concentration/Reactant Concentration)
Space Time for Plug Flow Reactor = (1/Rate Constant for First Order Reaction)*ln(Initial Reactant Concentration/Reactant Concentration)

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