Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Calculator

✖The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration for Multiple Rxns [C_A0]			+10% -10%
✖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%
✖Space Time for Mixed Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the mixed flow reactor.ⓘ Space Time for Mixed Flow Reactor [τ_m]			+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 [k₂]			+10% -10%

✖Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.ⓘ Intermediate Concentration for First Order Reaction for Mixed Flow Reactor [C_R]

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Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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)))
C_R = (C_A0*k_I*τ_m)/((1+(k_I*τ_m))*(1+(k₂*τ_m)))
This formula uses 5 Variables

Variables Used

Intermediate Concentration for Series Rxn - (Measured in Mole per Cubic Meter) - Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.
Initial Reactant Concentration for Multiple Rxns - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process.
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.
Space Time for Mixed Flow Reactor - (Measured in Second) - Space Time for Mixed Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the mixed flow reactor.
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.

STEP 1: Convert Input(s) to Base Unit

Initial Reactant Concentration for Multiple Rxns: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Rate Constant for First Step First Order Reaction: 0.42 1 Per Second --> 0.42 1 Per Second No Conversion Required
Space Time for Mixed Flow Reactor: 12 Second --> 12 Second No Conversion Required
Rate Constant for Second Step First Order Reaction: 0.08 1 Per Second --> 0.08 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_R = (C_A0*k_I*τ_m)/((1+(k_I*τ_m))*(1+(k₂*τ_m))) --> (80*0.42*12)/((1+(0.42*12))*(1+(0.08*12)))

Evaluating ... ...

C_R = 34.0586565752129

STEP 3: Convert Result to Output's Unit

34.0586565752129 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

34.0586565752129 ≈ 34.05866 Mole per Cubic Meter <-- Intermediate Concentration for Series Rxn

(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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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))

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula

LaTeX Go

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 Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor calculator uses Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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))) to calculate the Intermediate Concentration for Series Rxn, The Intermediate Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Intermediate for two steps First Order Irreversible Reaction for Mixed Flow Reactor, in Series. Intermediate Concentration for Series Rxn is denoted by C_R symbol.

How to calculate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor using this online calculator? To use this online calculator for Intermediate Concentration for First Order Reaction for Mixed Flow Reactor, enter Initial Reactant Concentration for Multiple Rxns (C_A0), Rate Constant for First Step First Order Reaction (k_I), Space Time for Mixed Flow Reactor (τ_m) & Rate Constant for Second Step First Order Reaction (k₂) and hit the calculate button. Here is how the Intermediate Concentration for First Order Reaction for Mixed Flow Reactor calculation can be explained with given input values -> 34.05866 = (80*0.42*12)/((1+(0.42*12))*(1+(0.08*12))).

FAQ

What is Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

The Intermediate Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Intermediate for two steps First Order Irreversible Reaction for Mixed Flow Reactor, in Series and is represented as C_R = (C_A0*k_I*τ_m)/((1+(k_I*τ_m))*(1+(k₂*τ_m))) or Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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))). The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process, 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, Space Time for Mixed Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the mixed flow reactor & 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.

How to calculate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

The Intermediate Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Intermediate for two steps First Order Irreversible Reaction for Mixed Flow Reactor, in Series is calculated using Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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))). To calculate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor, you need Initial Reactant Concentration for Multiple Rxns (C_A0), Rate Constant for First Step First Order Reaction (k_I), Space Time for Mixed Flow Reactor (τ_m) & Rate Constant for Second Step First Order Reaction (k₂). With our tool, you need to enter the respective value for Initial Reactant Concentration for Multiple Rxns, Rate Constant for First Step First Order Reaction, Space Time for Mixed Flow Reactor & Rate Constant for Second Step First Order Reaction 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 Intermediate Concentration for Series Rxn?

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

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))
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))

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