Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series Calculator

✖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 Series Rxn [C_R]			+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%
✖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 PFR is the time necessary to process volume of reactor fluid at the entrance conditions, the time taken by the amount of fluid to either completely enter or completely exit the reactor.ⓘ Space Time for PFR [τ]			+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 Two Steps First Order Irreversible Reaction in Series [C_A0]

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Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
C_A0 = (C_R*(k₂-k_I))/(k_I*(exp(-k_I*τ)-exp(-k₂*τ)))
This formula uses 1 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

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.
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.
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.
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 PFR - (Measured in Second) - Space Time for PFR is the time necessary to process volume of reactor fluid at the entrance conditions, the time taken by the amount of fluid to either completely enter or completely exit the reactor.

STEP 1: Convert Input(s) to Base Unit

Intermediate Concentration for Series Rxn: 10 Mole per Cubic Meter --> 10 Mole per Cubic Meter No Conversion Required
Rate Constant for Second Step First Order Reaction: 0.08 1 Per Second --> 0.08 1 Per Second 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 PFR: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_A0 = (C_R*(k₂-k_I))/(k_I*(exp(-k_I*τ)-exp(-k₂*τ))) --> (10*(0.08-0.42))/(0.42*(exp(-0.42*30)-exp(-0.08*30)))

Evaluating ... ...

C_A0 = 89.2385543926043

STEP 3: Convert Result to Output's Unit

89.2385543926043 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

89.2385543926043 ≈ 89.23855 Mole per Cubic Meter <-- Initial Reactant Concentration for Multiple Rxns

(Calculation completed in 00.020 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 Two Steps 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 Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series?

Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series calculator uses 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))) to calculate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series formula is defined as the Initial Concentration of Reactant of two steps First Order Irreversible Reaction in Series, for Batch and Plug Flow Reactors. Initial Reactant Concentration for Multiple Rxns is denoted by C_A0 symbol.

How to calculate Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series using this online calculator? To use this online calculator for Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series, enter Intermediate Concentration for Series Rxn (C_R), Rate Constant for Second Step First Order Reaction (k₂), Rate Constant for First Step First Order Reaction (k_I) & Space Time for PFR (τ) and hit the calculate button. Here is how the Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series calculation can be explained with given input values -> 89.23855 = (10*(0.08-0.42))/(0.42*(exp(-0.42*30)-exp(-0.08*30))).

FAQ

What is Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series?

The Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series formula is defined as the Initial Concentration of Reactant of two steps First Order Irreversible Reaction in Series, for Batch and Plug Flow Reactors and is represented as C_A0 = (C_R*(k₂-k_I))/(k_I*(exp(-k_I*τ)-exp(-k₂*τ))) or 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 Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction, 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 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 PFR is the time necessary to process volume of reactor fluid at the entrance conditions, the time taken by the amount of fluid to either completely enter or completely exit the reactor.

How to calculate Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series?

The Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series formula is defined as the Initial Concentration of Reactant of two steps First Order Irreversible Reaction in Series, for Batch and Plug Flow Reactors is calculated using 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))). To calculate Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series, you need Intermediate Concentration for Series Rxn (C_R), Rate Constant for Second Step First Order Reaction (k₂), Rate Constant for First Step First Order Reaction (k_I) & Space Time for PFR (τ). With our tool, you need to enter the respective value for Intermediate Concentration for Series Rxn, Rate Constant for Second Step First Order Reaction, Rate Constant for First Step First Order Reaction & Space Time for PFR 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 Intermediate Concentration for Series Rxn, Rate Constant for Second Step First Order Reaction, Rate Constant for First Step First Order Reaction & Space Time for PFR. 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 = (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))

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