Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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)))
CR = (CA0*kI*τm)/((1+(kI*τm))*(1+(k2*τm)))
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Space Time for Mixed Flow Reactor: 12 Second --> 12 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
CR = (CA0*kIm)/((1+(kIm))*(1+(k2m))) --> (80*0.42*12)/((1+(0.42*12))*(1+(0.08*12)))
Evaluating ... ...
CR = 34.0586565752129
STEP 3: Convert Result to Output's Unit
34.0586565752129 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
34.0586565752129 34.05866 Mole per Cubic Meter <-- Intermediate Concentration for Series Rxn
(Calculation completed in 00.004 seconds)

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25 Important Formulas in Potpourri of Multiple Reactions Calculators

Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series
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
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))
Maximum Intermediate Concentration in First Order followed by Zero Order Reaction
Go Maximum Intermediate Concentration = Initial Reactant Concentration for Multiple Rxns*(1-(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Rxn for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction)))))
Initial Reactant Concentration for First Order Rxn in Series for MFR using Product Concentration
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))
Product Concentration for First Order Reaction for Mixed Flow Reactor
Go 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)))
Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration
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)
Intermediate Concentration for First Order Reaction for Mixed Flow Reactor
Go Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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)))
Intermediate Concentration for First Order followed by Zero Order Reaction
Go Intermediate Conc. for 1st Order Series Rxn = Initial Reactant Concentration for Multiple Rxns*(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions)-((Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)/Initial Reactant Concentration for Multiple Rxns))
Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction
Go Rate Constant for First Step First Order Reaction = (1/Time Interval for Multiple Reactions)*ln(Initial Reactant Concentration for Multiple Rxns/(Initial Reactant Concentration for Multiple Rxns-(Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions)-Intermediate Concentration for Series Rxn))
Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction
Go Rate Constant for Zero Order Rxn using k1 = (Initial Reactant Concentration for Multiple Rxns/Time Interval for Multiple Reactions)*(1-exp((-Rate Constant for First Step First Order Reaction)*Time Interval for Multiple Reactions)-(Intermediate Concentration for Series Rxn/Initial Reactant Concentration for Multiple Rxns))
Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration
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
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 using Intermediate for First Order followed by Zero Order Reaction
Go Initial Reactant Concentration using Intermediate = (Intermediate Concentration for Series Rxn+(Rate Constant for Zero Order Rxn for Multiple Rxns*Time Interval for Multiple Reactions))/(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions))
Time at Max Intermediate in First Order followed by Zero Order Reaction
Go Time at Maximum Intermediate Concentration = (1/Rate Constant for First Step First Order Reaction)*ln((Rate Constant for First Step First Order Reaction*Initial Reactant Concentration for Multiple Rxns)/Rate Constant for Zero Order Rxn for Multiple Rxns)
Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series
Go Time at Maximum Intermediate Concentration = ln(Rate Constant for Second Step First Order Reaction/Rate Constant for First Step First Order Reaction)/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction)
Rate Constant for First Order Reaction in First Order followed by Zero Order Reaction
Go Rate Constant for First Step First Order Reaction = (1/Time Interval for Multiple Reactions)*ln(Initial Reactant Concentration for Multiple Rxns/Reactant Concentration for Zero Order Series Rxn)
Initial Reactant Concentration in First Order followed by Zero Order Reaction
Go Initial Reactant Concentration for Multiple Rxns = Reactant Concentration for Zero Order Series Rxn/exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions)
Reactant Concentration in First Order followed by Zero Order Reaction
Go Reactant Concentration for Zero Order Series Rxn = Initial Reactant Concentration for Multiple Rxns*exp(-Rate Constant for First Step First Order Reaction*Time Interval for Multiple Reactions)
Initial Reactant Concentration for First Order Rxn in MFR at Maximum Intermediate Concentration
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)
Maximum Intermediate Concentration for First Order Irreversible Reaction in MFR
Go 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)
Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor
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))
Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor
Go Reactant Concentration for Zero Order Series Rxn = Initial Reactant Concentration for Multiple Rxns/(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))
Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series in MFR
Go Time at Maximum Intermediate Concentration = 1/sqrt(Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction)
Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration
Go Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2))
Rate Constant for First Step First Order Reaction for MFR at Maximum Intermediate Concentration
Go Rate Constant for First Step First Order Reaction = 1/(Rate Constant for Second Step First Order Reaction*(Time at Maximum Intermediate Concentration^2))

16 Basics of Potpourri Reactions Calculators

Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series
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
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 MFR using Product Concentration
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))
Product Concentration for First Order Reaction for Mixed Flow Reactor
Go 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)))
Initial Reactant Concentration for First Order Rxn for MFR using Intermediate Concentration
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)
Intermediate Concentration for First Order Reaction for Mixed Flow Reactor
Go Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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)))
Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration
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
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))
Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series
Go Time at Maximum Intermediate Concentration = ln(Rate Constant for Second Step First Order Reaction/Rate Constant for First 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
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)
Maximum Intermediate Concentration for First Order Irreversible Reaction in MFR
Go 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)
Initial Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor
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))
Reactant Concentration for Two Steps First Order Reaction for Mixed Flow Reactor
Go Reactant Concentration for Zero Order Series Rxn = Initial Reactant Concentration for Multiple Rxns/(1+(Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor))
Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series in MFR
Go Time at Maximum Intermediate Concentration = 1/sqrt(Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction)
Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration
Go Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2))
Rate Constant for First Step First Order Reaction for MFR at Maximum Intermediate Concentration
Go Rate Constant for First Step First Order Reaction = 1/(Rate Constant for Second Step First Order Reaction*(Time at Maximum Intermediate Concentration^2))

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor Formula

Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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)))
CR = (CA0*kI*τm)/((1+(kI*τm))*(1+(k2*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 Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?

Intermediate Concentration for First Order Reaction for Mixed Flow Reactor calculator uses Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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 Intermediate Concentration for Series Rxn, The Intermediate Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Intermediate for two steps First Order Irreversible Reaction for Mixed Flow Reactor, in Series. Intermediate Concentration for Series Rxn is denoted by CR symbol.

How to calculate Intermediate Concentration for First Order Reaction for Mixed Flow Reactor using this online calculator? To use this online calculator for Intermediate Concentration for First Order Reaction for Mixed Flow Reactor, enter Initial Reactant Concentration for Multiple Rxns (CA0), Rate Constant for First Step First Order Reaction (kI), Space Time for Mixed Flow Reactor m) & Rate Constant for Second Step First Order Reaction (k2) and hit the calculate button. Here is how the Intermediate Concentration for First Order Reaction for Mixed Flow Reactor calculation can be explained with given input values -> 34.05866 = (80*0.42*12)/((1+(0.42*12))*(1+(0.08*12))).

FAQ

What is Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?
The Intermediate Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Intermediate for two steps First Order Irreversible Reaction for Mixed Flow Reactor, in Series and is represented as CR = (CA0*kIm)/((1+(kIm))*(1+(k2m))) or Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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, 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 & 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 Intermediate Concentration for First Order Reaction for Mixed Flow Reactor?
The Intermediate Concentration for First Order Reaction for Mixed Flow Reactor formula is defined as the Concentration of Intermediate for two steps First Order Irreversible Reaction for Mixed Flow Reactor, in Series is calculated using Intermediate Concentration for Series Rxn = (Initial Reactant Concentration for Multiple Rxns*Rate Constant for First Step First Order Reaction*Space Time for Mixed Flow Reactor)/((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 Intermediate Concentration for First Order Reaction for Mixed Flow Reactor, you need Initial Reactant Concentration for Multiple Rxns (CA0), Rate Constant for First Step First Order Reaction (kI), Space Time for Mixed Flow Reactor m) & 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, Space Time for Mixed Flow Reactor & 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 Intermediate Concentration for Series Rxn?
In this formula, Intermediate Concentration for Series Rxn uses Initial Reactant Concentration for Multiple Rxns, Rate Constant for First Step First Order Reaction, Space Time for Mixed Flow Reactor & Rate Constant for Second Step First Order Reaction. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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))
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