Maximum Intermediate Concentration for First Order Irreversible Reaction in Series 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%

✖Maximum Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.ⓘ Maximum Intermediate Concentration for First Order Irreversible Reaction in Series [C_R,max]

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Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_R,max = C_A0*(k_I/k₂)^(k₂/(k₂-k_I))
This formula uses 4 Variables

Variables Used

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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_R,max = C_A0*(k_I/k₂)^(k₂/(k₂-k_I)) --> 80*(0.42/0.08)^(0.08/(0.08-0.42))

Evaluating ... ...

C_R,max = 54.1552717095398

STEP 3: Convert Result to Output's Unit

54.1552717095398 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

54.1552717095398 ≈ 54.15527 Mole per Cubic Meter <-- Maximum Intermediate Concentration

(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))

Maximum Intermediate Concentration for First Order Irreversible Reaction in Series 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 Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

Maximum Intermediate Concentration for First Order Irreversible Reaction in Series calculator uses 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)) to calculate the Maximum Intermediate Concentration, The Maximum Intermediate Concentration for First Order Irreversible Reaction in Series formula is defined as Maximum Amount of Intermediate present per unit volume, for Batch and Plug Flow Reactions. Maximum Intermediate Concentration is denoted by C_R,max symbol.

How to calculate Maximum Intermediate Concentration for First Order Irreversible Reaction in Series using this online calculator? To use this online calculator for Maximum Intermediate Concentration for First Order Irreversible Reaction in Series, 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) and hit the calculate button. Here is how the Maximum Intermediate Concentration for First Order Irreversible Reaction in Series calculation can be explained with given input values -> 54.15527 = 80*(0.42/0.08)^(0.08/(0.08-0.42)).

FAQ

What is Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

The Maximum Intermediate Concentration for First Order Irreversible Reaction in Series formula is defined as Maximum Amount of Intermediate present per unit volume, for Batch and Plug Flow Reactions and is represented as C_R,max = C_A0*(k_I/k₂)^(k₂/(k₂-k_I)) or 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)). 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.

How to calculate Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

The Maximum Intermediate Concentration for First Order Irreversible Reaction in Series formula is defined as Maximum Amount of Intermediate present per unit volume, for Batch and Plug Flow Reactions is calculated using 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)). To calculate Maximum Intermediate Concentration for First Order Irreversible Reaction in Series, 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). 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 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 Maximum Intermediate Concentration?

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

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

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