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Space Time for Second Order Reaction using Reactant Concentration for Plug Flow Calculator

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✖The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration in Batch Reactor [Co Batch]
+10%
-10%
✖The Reactant Conc at any Time in Batch Reactor refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Conc at any Time in Batch Reactor [CBatch]
+10%
-10%
✖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.ⓘ Rate Constant for Second Order in Batch Reactor [k'']
+10%
-10%
✖Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time for Second Order Reaction using Reactant Concentration for Plug Flow [𝛕Batch]
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Space Time for Second Order Reaction using Reactant Concentration for Plug Flow

Formula
`"𝛕"_{"Batch"} = ("C"_{"o Batch"}-"C"_{"Batch"})/("k"_{"''"}*"C"_{"o Batch"}*"C"_{"Batch"})`

Example
`"0.051329s"=("81.5mol/m³"-"23mol/m³")/("0.608m³/(mol*s)"*"81.5mol/m³"*"23mol/m³")`

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Space Time for Second Order Reaction using Reactant Concentration for Plug Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Space Time in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time 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)
𝛕Batch = (Co Batch-CBatch)/(k''*Co Batch*CBatch)
This formula uses 4 Variables
Variables Used
Space Time in Batch Reactor - (Measured in Second) - Space Time in Batch Reactor is the time necessary to process volume of reactor fluid at the entrance conditions.
Initial Reactant Concentration in Batch Reactor - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process.
Reactant Conc at any Time in Batch Reactor - (Measured in Mole per Cubic Meter) - The Reactant Conc at any Time in Batch Reactor refers to the amount of reactant present in the solvent at any given point of time during the process.
Rate Constant for Second Order in Batch Reactor - (Measured in Cubic Meter per Mole Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Initial Reactant Concentration in Batch Reactor: 81.5 Mole per Cubic Meter --> 81.5 Mole per Cubic Meter No Conversion Required
Reactant Conc at any Time in Batch Reactor: 23 Mole per Cubic Meter --> 23 Mole per Cubic Meter No Conversion Required
Rate Constant for Second Order in Batch Reactor: 0.608 Cubic Meter per Mole Second --> 0.608 Cubic Meter per Mole Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛕Batch = (Co Batch-CBatch)/(k''*Co Batch*CBatch) --> (81.5-23)/(0.608*81.5*23)
Evaluating ... ...
𝛕Batch = 0.0513294773343067
STEP 3: Convert Result to Output's Unit
0.0513294773343067 Second --> No Conversion Required
FINAL ANSWER
0.0513294773343067 ≈ 0.051329 Second <-- Space Time in Batch Reactor
(Calculation completed in 00.004 seconds)
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14 Plug Flow or Batch Calculators

Rate Constant for Second Order Reaction using Reactant Concentration for Plug Flow
Go 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)
Space Time for Second Order Reaction using Reactant Concentration for Plug Flow
Go Space Time in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time 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)
Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow
Go Initial Reactant Concentration in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Space Time in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
Rate Constant for Second Order Reaction using Space Time for Plug Flow
Go 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))
Space Time for Second Order Reaction for Plug Flow
Go Space Time in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
Rate Constant for First Order Reaction using Reactant Concentration for Plug Flow
Go Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
Space Time for First Order Reaction using Reactant Concentration for Plug Flow
Go Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow
Go Reactant Conc at any Time in Batch Reactor = Initial Reactant Concentration in Batch Reactor-(Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)
Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow
Go Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch
Reactant Conversion for Zero Order Reaction using Space Time for Plug Flow
Go Reactant Conversion in Batch = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Initial Reactant Concentration in Batch Reactor
Rate Constant for Zero Order Reaction using Space Time for Plug Flow
Go Rate Constant for Zero Order in Batch = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Space Time in Batch Reactor
Space Time for Zero Order Reaction for Plug Flow
Go Space Time in Batch Reactor = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Rate Constant for Zero Order in Batch
Rate Constant for First Order Reaction using Space Time for Plug Flow
Go Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
Space Time for First Order Reaction for Plug Flow
Go Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))

25 Reactor Performance Equations for Constant Volume Reactions Calculators

Rate Constant for Second Order Reaction using Reactant Concentration for Plug Flow
Go 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)
Rate Constant for Second Order Reaction using Reactant Concentration for Mixed Flow
Go Rate Constant for Second Order in Mixed Flow = (Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/((Space Time in Mixed Flow)*(Reactant Concentration at given Time)^2)
Space Time for Second Order Reaction using Reactant Concentration for Mixed Flow
Go Space Time in Mixed Flow = (Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/((Rate Constant for Second Order in Mixed Flow)*(Reactant Concentration at given Time)^2)
Initial Reactant Concentration for Second Order Reaction using Space Time for Mixed Flow
Go Initial Reactant Concentration in Mixed Flow = (Reactant Conversion in Mixed Flow)/((1-Reactant Conversion in Mixed Flow)^2*(Space Time in Mixed Flow)*(Rate Constant for Second Order in Mixed Flow))
Rate Constant for Second Order Reaction using Space Time for Mixed Flow
Go Rate Constant for Second Order in Mixed Flow = (Reactant Conversion in Mixed Flow)/((1-Reactant Conversion in Mixed Flow)^2*(Space Time in Mixed Flow)*(Initial Reactant Concentration in Mixed Flow))
Space Time for Second Order Reaction for Mixed Flow
Go Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow)/((1-Reactant Conversion in Mixed Flow)^2*(Rate Constant for Second Order in Mixed Flow)*(Initial Reactant Concentration in Mixed Flow))
Initial Reactant Concentration for Second Order Reaction using Space Time for Plug Flow
Go Initial Reactant Concentration in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Space Time in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
Rate Constant for Second Order Reaction using Space Time for Plug Flow
Go 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))
Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow
Go Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*((Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/Reactant Concentration at given Time)
Space Time for First Order Reaction using Reactant Concentration for Mixed Flow
Go Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*((Initial Reactant Concentration in Mixed Flow-Reactant Concentration at given Time)/Reactant Concentration at given Time)
Rate Constant for First Order Reaction using Reactant Concentration for Plug Flow
Go Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
Space Time for First Order Reaction using Reactant Concentration for Plug Flow
Go Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow
Go Reactant Conc at any Time in Batch Reactor = Initial Reactant Concentration in Batch Reactor-(Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)
Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow
Go Reactant Concentration at given Time = Initial Reactant Concentration in Mixed Flow-(Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)
Initial Reactant Concentration for Zero Order Reaction using Space Time for Mixed Flow
Go Initial Reactant Concentration in Mixed Flow = (Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)/Reactant Conversion in Mixed Flow
Reactant Conversion for Zero Order Reaction using Space Time for Mixed Flow
Go Reactant Conversion in Mixed Flow = (Rate Constant for Zero Order in Mixed Flow*Space Time in Mixed Flow)/Initial Reactant Concentration in Mixed Flow
Rate Constant for Zero Order Reaction using Space Time for Mixed Flow
Go Rate Constant for Zero Order in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Space Time in Mixed Flow
Space Time for Zero Order Reaction for Mixed Flow
Go Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Rate Constant for Zero Order in Mixed Flow
Initial Reactant Concentration for Zero Order Reaction using Space Time for Plug Flow
Go Initial Reactant Concentration in Batch Reactor = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Reactant Conversion in Batch
Reactant Conversion for Zero Order Reaction using Space Time for Plug Flow
Go Reactant Conversion in Batch = (Rate Constant for Zero Order in Batch*Space Time in Batch Reactor)/Initial Reactant Concentration in Batch Reactor
Rate Constant for Zero Order Reaction using Space Time for Plug Flow
Go Rate Constant for Zero Order in Batch = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Space Time in Batch Reactor
Rate Constant for First Order Reaction using Space Time for Mixed Flow
Go Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
Space Time for First Order Reaction for Mixed Flow
Go Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
Rate Constant for First Order Reaction using Space Time for Plug Flow
Go Rate Constant for First Order in Batch Reactor = (1/Space Time in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
Space Time for First Order Reaction for Plug Flow
Go Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))

Space Time for Second Order Reaction using Reactant Concentration for Plug Flow Formula

Space Time in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time 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)
𝛕Batch = (Co Batch-CBatch)/(k''*Co Batch*CBatch)

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.

How to Calculate Space Time for Second Order Reaction using Reactant Concentration for Plug Flow?

Space Time for Second Order Reaction using Reactant Concentration for Plug Flow calculator uses Space Time in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time 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) to calculate the Space Time in Batch Reactor, The Space Time for Second Order Reaction using Reactant Concentration for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero. Space Time in Batch Reactor is denoted by 𝛕Batch symbol.

How to calculate Space Time for Second Order Reaction using Reactant Concentration for Plug Flow using this online calculator? To use this online calculator for Space Time for Second Order Reaction using Reactant Concentration for Plug Flow, enter Initial Reactant Concentration in Batch Reactor (Co Batch), Reactant Conc at any Time in Batch Reactor (CBatch) & Rate Constant for Second Order in Batch Reactor (k'') and hit the calculate button. Here is how the Space Time for Second Order Reaction using Reactant Concentration for Plug Flow calculation can be explained with given input values -> 0.051205 = (81.5-23)/(0.608*81.5*23).

FAQ

What is Space Time for Second Order Reaction using Reactant Concentration for Plug Flow?
The Space Time for Second Order Reaction using Reactant Concentration for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero and is represented as 𝛕Batch = (Co Batch-CBatch)/(k''*Co Batch*CBatch) or Space Time in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time 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). The Initial Reactant Concentration in Batch Reactor refers to the amount of reactant present in the solvent before the considered process, The Reactant Conc at any Time in Batch Reactor 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 in Batch Reactor is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
How to calculate Space Time for Second Order Reaction using Reactant Concentration for Plug Flow?
The Space Time for Second Order Reaction using Reactant Concentration for Plug Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero is calculated using Space Time in Batch Reactor = (Initial Reactant Concentration in Batch Reactor-Reactant Conc at any Time 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). To calculate Space Time for Second Order Reaction using Reactant Concentration for Plug Flow, you need Initial Reactant Concentration in Batch Reactor (Co Batch), Reactant Conc at any Time in Batch Reactor (CBatch) & Rate Constant for Second Order in Batch Reactor (k''). With our tool, you need to enter the respective value for Initial Reactant Concentration in Batch Reactor, Reactant Conc at any Time in Batch Reactor & Rate Constant for Second Order in Batch 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 Space Time in Batch Reactor?
In this formula, Space Time in Batch Reactor uses Initial Reactant Concentration in Batch Reactor, Reactant Conc at any Time in Batch Reactor & Rate Constant for Second Order in Batch Reactor. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Space Time in Batch Reactor = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Rate Constant for Zero Order in Batch
  • Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
  • Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
  • Space Time in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
  • Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(1/(1-Reactant Conversion in Batch))
  • Space Time in Batch Reactor = (1/Rate Constant for First Order in Batch Reactor)*ln(Initial Reactant Concentration in Batch Reactor/Reactant Conc at any Time in Batch Reactor)
  • Space Time in Batch Reactor = (1/(Rate Constant for Second Order in Batch Reactor*Initial Reactant Concentration in Batch Reactor))*(Reactant Conversion in Batch/(1-Reactant Conversion in Batch))
  • Space Time in Batch Reactor = (Reactant Conversion in Batch*Initial Reactant Concentration in Batch Reactor)/Rate Constant for Zero Order in Batch
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