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Space Time for Second Order Reaction for Mixed Flow Calculator

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Mixed Flow
Plug Flow or Batch
✖Reactant Conversion in Mixed Flow gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion in Mixed Flow [Xmfr]
+10%
-10%
✖The Rate Constant for Second Order in Mixed Flow 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 Mixed Flow [kmixed]
+10%
-10%
✖The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration in Mixed Flow [Co]
+10%
-10%
✖Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time for Second Order Reaction for Mixed Flow [𝛕mixed]
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Space Time for Second Order Reaction for Mixed Flow

Formula
`"𝛕"_{"mixed"} = ("X"_{"mfr"})/((1-"X"_{"mfr"})^2*("k"_{"mixed"})*("C"_{"o"}))`

Example
`"0.173283s"=("0.71")/((1-"0.71")^2*("0.609m³/(mol*s)")*("80mol/m³"))`

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Space Time for Second Order Reaction for Mixed Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
𝛕mixed = (Xmfr)/((1-Xmfr)^2*(kmixed)*(Co))
This formula uses 4 Variables
Variables Used
Space Time in Mixed Flow - (Measured in Second) - Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions.
Reactant Conversion in Mixed Flow - Reactant Conversion in Mixed Flow gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
Rate Constant for Second Order in Mixed Flow - (Measured in Cubic Meter per Mole Second) - The Rate Constant for Second Order in Mixed Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
Initial Reactant Concentration in Mixed Flow - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process.
STEP 1: Convert Input(s) to Base Unit
Reactant Conversion in Mixed Flow: 0.71 --> No Conversion Required
Rate Constant for Second Order in Mixed Flow: 0.609 Cubic Meter per Mole Second --> 0.609 Cubic Meter per Mole Second No Conversion Required
Initial Reactant Concentration in Mixed Flow: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝛕mixed = (Xmfr)/((1-Xmfr)^2*(kmixed)*(Co)) --> (0.71)/((1-0.71)^2*(0.609)*(80))
Evaluating ... ...
𝛕mixed = 0.173282646938803
STEP 3: Convert Result to Output's Unit
0.173282646938803 Second --> No Conversion Required
FINAL ANSWER
0.173282646938803 ≈ 0.173283 Second <-- Space Time in Mixed Flow
(Calculation completed in 00.020 seconds)
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14 Mixed Flow Calculators

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))
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)
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
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))

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 for Mixed Flow Formula

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))
𝛕mixed = (Xmfr)/((1-Xmfr)^2*(kmixed)*(Co))

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 for Mixed Flow?

Space Time for Second Order Reaction for Mixed Flow calculator uses 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)) to calculate the Space Time in Mixed Flow, The Space Time for Second Order Reaction for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero for mixed flow. Space Time in Mixed Flow is denoted by 𝛕mixed symbol.

How to calculate Space Time for Second Order Reaction for Mixed Flow using this online calculator? To use this online calculator for Space Time for Second Order Reaction for Mixed Flow, enter Reactant Conversion in Mixed Flow (Xmfr), Rate Constant for Second Order in Mixed Flow (kmixed) & Initial Reactant Concentration in Mixed Flow (Co) and hit the calculate button. Here is how the Space Time for Second Order Reaction for Mixed Flow calculation can be explained with given input values -> 0.173283 = (0.71)/((1-0.71)^2*(0.609)*(80)).

FAQ

What is Space Time for Second Order Reaction for Mixed Flow?
The Space Time for Second Order Reaction for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero for mixed flow and is represented as 𝛕mixed = (Xmfr)/((1-Xmfr)^2*(kmixed)*(Co)) or 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)). Reactant Conversion in Mixed Flow gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1, The Rate Constant for Second Order in Mixed Flow is defined as the average rate of the reaction per concentration of the reactant having power raised to 2 & The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process.
How to calculate Space Time for Second Order Reaction for Mixed Flow?
The Space Time for Second Order Reaction for Mixed Flow formula is defined as the time necessary to process volume of reactor fluid for second order reaction where fractional volume change is zero for mixed flow is calculated using 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)). To calculate Space Time for Second Order Reaction for Mixed Flow, you need Reactant Conversion in Mixed Flow (Xmfr), Rate Constant for Second Order in Mixed Flow (kmixed) & Initial Reactant Concentration in Mixed Flow (Co). With our tool, you need to enter the respective value for Reactant Conversion in Mixed Flow, Rate Constant for Second Order in Mixed Flow & Initial Reactant Concentration in Mixed Flow 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 Mixed Flow?
In this formula, Space Time in Mixed Flow uses Reactant Conversion in Mixed Flow, Rate Constant for Second Order in Mixed Flow & Initial Reactant Concentration in Mixed Flow. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Rate Constant for Zero Order in Mixed Flow
  • Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
  • 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)
  • 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)
  • Space Time in Mixed Flow = (1/Rate Constant for First Order Reaction)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
  • 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)
  • 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)
  • Space Time in Mixed Flow = (Reactant Conversion in Mixed Flow*Initial Reactant Concentration in Mixed Flow)/Rate Constant for Zero Order in Mixed Flow
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