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Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow Calculator

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Mixed Flow
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✖Space Time in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions.ⓘ Space Time in Mixed Flow [𝛕mixed]
+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%
✖The Reactant Concentration at given Time refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration at given Time [C]
+10%
-10%
✖The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow [k']
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Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow

Formula
`"k"_{"'"} = (1/"𝛕"_{"mixed"})*(("C"_{"o"}-"C")/"C")`

Example
`"46.66667s⁻¹"=(1/"0.05s")*(("80mol/m³"-"24mol/m³")/"24mol/m³")`

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Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
k' = (1/𝛕mixed)*((Co-C)/C)
This formula uses 4 Variables
Variables Used
Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.
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.
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.
Reactant Concentration at given Time - (Measured in Mole per Cubic Meter) - The Reactant Concentration at given Time 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
Space Time in Mixed Flow: 0.05 Second --> 0.05 Second No Conversion Required
Initial Reactant Concentration in Mixed Flow: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Concentration at given Time: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k' = (1/𝛕mixed)*((Co-C)/C) --> (1/0.05)*((80-24)/24)
Evaluating ... ...
k' = 46.6666666666667
STEP 3: Convert Result to Output's Unit
46.6666666666667 1 Per Second --> No Conversion Required
FINAL ANSWER
46.6666666666667 ≈ 46.66667 1 Per Second <-- Rate Constant for First Order Reaction
(Calculation completed in 00.004 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))

Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow Formula

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)
k' = (1/𝛕mixed)*((Co-C)/C)

What is continuous stirred-tank reactor?

The continuous stirred-tank reactor (CSTR), also known as vat- or backmix reactor, mixed flow reactor (MFR), or a continuous-flow stirred-tank reactor (CFSTR), is a common model for a chemical reactor in chemical engineering and environmental engineering. A CSTR often refers to a model used to estimate the key unit operation variables when using a continuous agitated-tank reactor to reach a specified output. The mathematical model works for all fluids: liquids, gases, and slurries.

How to Calculate Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow?

Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow calculator uses 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) to calculate the Rate Constant for First Order Reaction, The Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow formula is defined as the constant of proportionality which gives the relation between rate of reaction and the first power of concentration of one of the reactants for mixed flow. Rate Constant for First Order Reaction is denoted by k' symbol.

How to calculate Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow using this online calculator? To use this online calculator for Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow, enter Space Time in Mixed Flow (𝛕mixed), Initial Reactant Concentration in Mixed Flow (Co) & Reactant Concentration at given Time (C) and hit the calculate button. Here is how the Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow calculation can be explained with given input values -> 46.66667 = (1/0.05)*((80-24)/24).

FAQ

What is Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow?
The Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow formula is defined as the constant of proportionality which gives the relation between rate of reaction and the first power of concentration of one of the reactants for mixed flow and is represented as k' = (1/𝛕mixed)*((Co-C)/C) or 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 in Mixed Flow is the time necessary to process volume of reactor fluid at the entrance conditions, The Initial Reactant Concentration in Mixed Flow refers to the amount of reactant present in the solvent before the considered process & The Reactant Concentration at given Time refers to the amount of reactant present in the solvent at any given point of time during the process.
How to calculate Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow?
The Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow formula is defined as the constant of proportionality which gives the relation between rate of reaction and the first power of concentration of one of the reactants for mixed flow is calculated using 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). To calculate Rate Constant for First Order Reaction using Reactant Concentration for Mixed Flow, you need Space Time in Mixed Flow (𝛕mixed), Initial Reactant Concentration in Mixed Flow (Co) & Reactant Concentration at given Time (C). With our tool, you need to enter the respective value for Space Time in Mixed Flow, Initial Reactant Concentration in Mixed Flow & Reactant Concentration at given Time 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 Rate Constant for First Order Reaction?
In this formula, Rate Constant for First Order Reaction uses Space Time in Mixed Flow, Initial Reactant Concentration in Mixed Flow & Reactant Concentration at given Time. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
  • Rate Constant for First Order Reaction = (1/Space Time in Mixed Flow)*(Reactant Conversion in Mixed Flow/(1-Reactant Conversion in Mixed Flow))
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