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

✖Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.ⓘ Maximum Intermediate Concentration [C_R,max]			+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%

✖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 Maximum Intermediate Concentration [C_A0]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_A0 = C_R,max/(k_I/k₂)^(k₂/(k₂-k_I))
This formula uses 4 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.
Maximum Intermediate Concentration - (Measured in Mole per Cubic Meter) - Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible 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.
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

Maximum Intermediate Concentration: 40 Mole per Cubic Meter --> 40 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_A0 = C_R,max/(k_I/k₂)^(k₂/(k₂-k_I)) --> 40/(0.42/0.08)^(0.08/(0.08-0.42))

Evaluating ... ...

C_A0 = 59.0893536120196

STEP 3: Convert Result to Output's Unit

59.0893536120196 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

59.0893536120196 ≈ 59.08935 Mole per Cubic Meter <-- Initial Reactant Concentration for Multiple Rxns

(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))

Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate 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 Plug Flow Reactor?

The plug flow reactor model (PFR, sometimes called continuous tubular reactor, CTR, or piston flow reactors) is a model used to describe chemical reactions in continuous, flowing systems of cylindrical geometry. The PFR model is used to predict the behavior of chemical reactors of such design, so that key reactor variables, such as the dimensions of the reactor, can be estimated.

How to Calculate Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration?

Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration calculator uses 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)) to calculate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration formula is defined as the Concentration of Reactant before the Reaction in 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 Maximum Intermediate Concentration using this online calculator? To use this online calculator for Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration, enter Maximum Intermediate Concentration (C_R,max), Rate Constant for First Step First Order Reaction (k_I) & 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 Maximum Intermediate Concentration calculation can be explained with given input values -> 59.08935 = 40/(0.42/0.08)^(0.08/(0.08-0.42)).

FAQ

What is Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration?

The Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration formula is defined as the Concentration of Reactant before the Reaction in two steps First Order Irreversible Reaction, in Series and is represented as C_A0 = C_R,max/(k_I/k₂)^(k₂/(k₂-k_I)) or 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)). Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible 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 & 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 Maximum Intermediate Concentration?

The Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration formula is defined as the Concentration of Reactant before the Reaction in two steps First Order Irreversible Reaction, in Series is calculated using 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)). To calculate Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration, you need Maximum Intermediate Concentration (C_R,max), Rate Constant for First Step First Order Reaction (k_I) & Rate Constant for Second Step First Order Reaction (k₂). With our tool, you need to enter the respective value for Maximum Intermediate Concentration, Rate Constant for First Step First Order Reaction & 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 Maximum Intermediate Concentration, Rate Constant for First Step First Order Reaction & 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 = (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 = (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 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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