Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for 1st Order Series Rxns*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))
CA0 = Ck1*(1+(kI*τm))
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.
Reactant Concentration for 1st Order Series Rxns - (Measured in Mole per Cubic Meter) - The Reactant Concentration for 1st Order Series Rxns refers to the amount of reactant present in the solvent at any given point of time during the 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.
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
Reactant Concentration for 1st Order Series Rxns: 13.3 Mole per Cubic Meter --> 13.3 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CA0 = Ck1*(1+(kIm)) --> 13.3*(1+(0.42*12))
Evaluating ... ...
CA0 = 80.332
STEP 3: Convert Result to Output's Unit
80.332 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
80.332 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
​ 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))
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 Reaction for Mixed Flow Reactor Formula

​LaTeX ​Go
Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for 1st Order Series Rxns*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))
CA0 = Ck1*(1+(kI*τm))

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 Two Steps First Order Reaction for Mixed Flow Reactor?

Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor calculator uses Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for 1st Order Series Rxns*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)) to calculate the Initial Reactant Concentration for Multiple Rxns, The Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor formula is defined as the concentration of reactant before the two steps first order irreversible reaction for mixed flow reactor. Initial Reactant Concentration for Multiple Rxns is denoted by CA0 symbol.

How to calculate Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor using this online calculator? To use this online calculator for Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor, enter Reactant Concentration for 1st Order Series Rxns (Ck1), Rate Constant for First Step First Order Reaction (kI) & Space Time for Mixed Flow Reactor m) and hit the calculate button. Here is how the Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor calculation can be explained with given input values -> 80.332 = 13.3*(1+(0.42*12)).

FAQ

What is Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor?
The Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor formula is defined as the concentration of reactant before the two steps first order irreversible reaction for mixed flow reactor and is represented as CA0 = Ck1*(1+(kIm)) or Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for 1st Order Series Rxns*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)). The Reactant Concentration for 1st Order Series Rxns refers to the amount of reactant present in the solvent at any given point of time during the 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 & 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 Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor?
The Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor formula is defined as the concentration of reactant before the two steps first order irreversible reaction for mixed flow reactor is calculated using Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for 1st Order Series Rxns*(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)). To calculate Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor, you need Reactant Concentration for 1st Order Series Rxns (Ck1), Rate Constant for First Step First Order Reaction (kI) & Space Time for Mixed Flow Reactor m). With our tool, you need to enter the respective value for Reactant Concentration for 1st Order Series Rxns, Rate Constant for First 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.
How many ways are there to calculate Initial Reactant Concentration for Multiple Rxns?
In this formula, Initial Reactant Concentration for Multiple Rxns uses Reactant Concentration for 1st Order Series Rxns, Rate Constant for First Step First Order Reaction & Space Time for Mixed Flow Reactor. 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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