Product 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%
✖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%
✖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%

✖Final Product Concentration is the concentration of the desired product in a multi-step reaction.ⓘ Product Concentration for First Order Reaction for Mixed Flow Reactor [C_S]

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Product Concentration for First Order Reaction for Mixed Flow Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Final Product Concentration = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))/((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_S = (C_A0*k_I*k₂*(τ_m^2))/((1+(k_I*τ_m))*(1+(k₂*τ_m)))
This formula uses 5 Variables

Variables Used

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

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
Rate Constant for Second Step First Order Reaction: 0.08 1 Per Second --> 0.08 1 Per Second No Conversion Required
Space Time for Mixed Flow Reactor: 12 Second --> 12 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_S = (C_A0*k_I*k₂*(τ_m^2))/((1+(k_I*τ_m))*(1+(k₂*τ_m))) --> (80*0.42*0.08*(12^2))/((1+(0.42*12))*(1+(0.08*12)))

Evaluating ... ...

C_S = 32.6963103122044

STEP 3: Convert Result to Output's Unit

32.6963103122044 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

32.6963103122044 ≈ 32.69631 Mole per Cubic Meter <-- Final Product Concentration

(Calculation completed in 00.021 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))

Product 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 Product Concentration for First Order Reaction for Mixed Flow Reactor?

Product Concentration for First Order Reaction for Mixed Flow Reactor calculator uses Final Product Concentration = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))/((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 Final Product Concentration, The Product Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Desired Product of two steps First Order Irreversible Reactions in Series, for Mixed Flow Reactor. Final Product Concentration is denoted by C_S symbol.

How to calculate Product Concentration for First Order Reaction for Mixed Flow Reactor using this online calculator? To use this online calculator for Product 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), Rate Constant for Second Step First Order Reaction (k₂) & Space Time for Mixed Flow Reactor (τ_m) and hit the calculate button. Here is how the Product Concentration for First Order Reaction for Mixed Flow Reactor calculation can be explained with given input values -> 32.69631 = (80*0.42*0.08*(12^2))/((1+(0.42*12))*(1+(0.08*12))).

FAQ

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

The Product Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Desired Product of two steps First Order Irreversible Reactions in Series, for Mixed Flow Reactor and is represented as C_S = (C_A0*k_I*k₂*(τ_m^2))/((1+(k_I*τ_m))*(1+(k₂*τ_m))) or Final Product Concentration = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))/((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, 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 & 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.

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

The Product Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Desired Product of two steps First Order Irreversible Reactions in Series, for Mixed Flow Reactor is calculated using Final Product Concentration = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction*(Space Time for Mixed Flow Reactor^2))/((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 Product 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), Rate Constant for Second Step First Order Reaction (k₂) & Space Time for Mixed Flow Reactor (τ_m). 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, Rate Constant for Second Step First Order Reaction & Space Time for Mixed Flow Reactor 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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