Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration Calculator

✖Rate Constant for First Step First Order Reaction is defined as the constant of proportionality for first step reaction in two steps first order irreversible reaction in series.ⓘ Rate Constant for First Step First Order Reaction [k_I]			+10% -10%
✖Time at Maximum Intermediate Concentration is the instant of time at which maximum concentration of intermediate is achieved.ⓘ Time at Maximum Intermediate Concentration [τ_R,max]			+10% -10%

✖Rate Constant for Second Step First Order Reaction is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series.ⓘ Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration [k₂]

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Formula

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Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration

Formula

k 2 = \frac{1}{k I \cdot ({τ R,max}^{2})}

Example

0.05304 s⁻¹ = \frac{1}{0.42 s⁻¹ \cdot ({6.7 s}^{2})}

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Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2))
k₂ = 1/(k_I*(τ_R,max^2))
This formula uses 3 Variables

Variables Used

Rate Constant for Second Step First Order Reaction - (Measured in 1 Per Second) - Rate Constant for Second Step First Order Reaction is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series.
Rate Constant for First Step First Order Reaction - (Measured in 1 Per Second) - Rate Constant for First Step First Order Reaction is defined as the constant of proportionality for first step reaction in two steps first order irreversible reaction in series.
Time at Maximum Intermediate Concentration - (Measured in Second) - Time at Maximum Intermediate Concentration is the instant of time at which maximum concentration of intermediate is achieved.

STEP 1: Convert Input(s) to Base Unit

Rate Constant for First Step First Order Reaction: 0.42 1 Per Second --> 0.42 1 Per Second No Conversion Required
Time at Maximum Intermediate Concentration: 6.7 Second --> 6.7 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k₂ = 1/(k_I*(τ_R,max^2)) --> 1/(0.42*(6.7^2))

Evaluating ... ...

k₂ = 0.0530397055235549

STEP 3: Convert Result to Output's Unit

0.0530397055235549 1 Per Second --> No Conversion Required

FINAL ANSWER

0.0530397055235549 ≈ 0.05304 1 Per Second <-- Rate Constant for Second Step First Order Reaction

(Calculation completed in 00.004 seconds)

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< Important Formulas in Potpourri of Multiple Reactions Calculators

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration

Go Initial Reactant Concentration for Multiple Rxns = (Final Product Concentration*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))

Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration

Go Initial Reactant Concentration for Multiple Rxns = (Intermediate Concentration for Series Rxn*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))*(1+(Rate Constant for Second Step First Order Reaction*Space Time for Mixed Flow Reactor)))/(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)

Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration

Go Initial Reactant Concentration for Multiple Rxns = Maximum Intermediate Concentration/(Rate Constant for First Step First Order Reaction/Rate Constant for Second Step First Order Reaction)^(Rate Constant for Second Step First Order Reaction/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))

Initial Reactant Concentration for First Order Rxn in MFR at Maximum Intermediate Concentration

Go Initial Reactant Concentration for Multiple Rxns = Maximum Intermediate Concentration*((((Rate Constant for Second Step First Order Reaction/Rate Constant for First Step First Order Reaction)^(1/2))+1)^2)

< Basics of Potpourri Reactions Calculators

Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series

Go Initial Reactant Concentration for Multiple Rxns = (Intermediate Concentration for Series Rxn*(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))/(Rate Constant for First Step First Order Reaction*(exp(-Rate Constant for First Step First Order Reaction*Space Time for PFR)-exp(-Rate Constant for Second Step First Order Reaction*Space Time for PFR)))

Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series

Go Intermediate Concentration for Series Rxn = Initial Reactant Concentration for Multiple Rxns*(Rate Constant for First Step First Order Reaction/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))*(exp(-Rate Constant for First Step First Order Reaction*Space Time for PFR)-exp(-Rate Constant for Second Step First Order Reaction*Space Time for PFR))

Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration

Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

Go Maximum Intermediate Concentration = Initial Reactant Concentration for Multiple Rxns*(Rate Constant for First Step First Order Reaction/Rate Constant for Second Step First Order Reaction)^(Rate Constant for Second Step First Order Reaction/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction))

Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration Formula

Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2))
k₂ = 1/(k_I*(τ_R,max^2))

What is Multi-step Reaction?

A multi-step reaction is a combination of two or more elementary steps. An elementary step is a single, simple step involving one or two particles. The rate-determining step is the slowest step in a multi-step reaction, and the overall reaction rate will be exactly the same as the rate of the slowest step.

What is Mixed Flow 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 Second Step First Order Reaction for MFR at Maximum Intermediate Concentration?

Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration calculator uses Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2)) to calculate the Rate Constant for Second Step First Order Reaction, The Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration formula is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series for mixed flow reactor at maximum intermediate concentration. Rate Constant for Second Step First Order Reaction is denoted by k₂ symbol.

How to calculate Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration using this online calculator? To use this online calculator for Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration, enter Rate Constant for First Step First Order Reaction (k_I) & Time at Maximum Intermediate Concentration (τ_R,max) and hit the calculate button. Here is how the Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration calculation can be explained with given input values -> 0.05304 = 1/(0.42*(6.7^2)).

FAQ

What is Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration?

The Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration formula is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series for mixed flow reactor at maximum intermediate concentration and is represented as k₂ = 1/(k_I*(τ_R,max^2)) or Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2)). Rate Constant for First Step First Order Reaction is defined as the constant of proportionality for first step reaction in two steps first order irreversible reaction in series & Time at Maximum Intermediate Concentration is the instant of time at which maximum concentration of intermediate is achieved.

How to calculate Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration?

The Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration formula is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series for mixed flow reactor at maximum intermediate concentration is calculated using Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2)). To calculate Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration, you need Rate Constant for First Step First Order Reaction (k_I) & Time at Maximum Intermediate Concentration (τ_R,max). With our tool, you need to enter the respective value for Rate Constant for First Step First Order Reaction & Time at Maximum Intermediate Concentration 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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