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

✖Final Product Concentration is the concentration of the desired product in a multi-step reaction.ⓘ Final Product Concentration [C_S]			+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%

✖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 First Order Rxn in Series for MFR using Product Concentration [C_A0]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_A0 = (C_S*(1+(k_I*τ_m))*(1+(k₂*τ_m)))/(k_I*k₂*(τ_m^2))
This formula uses 5 Variables

Variables Used

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.
Final Product Concentration - (Measured in Mole per Cubic Meter) - Final Product Concentration is the concentration of the desired product in a multi-step reaction.
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

Final Product Concentration: 20 Mole per Cubic Meter --> 20 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_A0 = (C_S*(1+(k_I*τ_m))*(1+(k₂*τ_m)))/(k_I*k₂*(τ_m^2)) --> (20*(1+(0.42*12))*(1+(0.08*12)))/(0.42*0.08*(12^2))

Evaluating ... ...

C_A0 = 48.9351851851852

STEP 3: Convert Result to Output's Unit

48.9351851851852 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

48.9351851851852 ≈ 48.93519 Mole per Cubic Meter <-- Initial Reactant Concentration for Multiple Rxns

(Calculation completed in 00.011 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))

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

Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration calculator uses 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)) to calculate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration formula is defined as the Concentration of Reactant charged to Mixed Flow Reactor for two steps First Order Irreversible Reaction, in Series. Initial Reactant Concentration for Multiple Rxns is denoted by C_A0 symbol.

How to calculate Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration using this online calculator? To use this online calculator for Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration, enter Final Product Concentration (C_S), 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 Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration calculation can be explained with given input values -> 48.93519 = (20*(1+(0.42*12))*(1+(0.08*12)))/(0.42*0.08*(12^2)).

FAQ

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

The Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration formula is defined as the Concentration of Reactant charged to Mixed Flow Reactor for two steps First Order Irreversible Reaction, in Series and is represented as C_A0 = (C_S*(1+(k_I*τ_m))*(1+(k₂*τ_m)))/(k_I*k₂*(τ_m^2)) or 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)). Final Product Concentration is the concentration of the desired product in a multi-step reaction, 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 Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration?

The Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration formula is defined as the Concentration of Reactant charged to Mixed Flow Reactor for two steps First Order Irreversible Reaction, in Series is calculated using 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)). To calculate Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration, you need Final Product Concentration (C_S), 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 Final Product Concentration, 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 Initial Reactant Concentration for Multiple Rxns?

In this formula, Initial Reactant Concentration for Multiple Rxns uses Final Product Concentration, 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 3 other way(s) to calculate the same, which is/are as follows -

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 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 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)

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