Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration Calculator

✖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%
✖Time at Maximum Intermediate Concentration is the instant of time at which maximum concentration of intermediate is achieved.ⓘ Time at Maximum Intermediate Concentration [τ_R,max]			+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 for MFR at Maximum Intermediate Concentration [k₂]

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Formula

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Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration

Formula

`"k"_{"2"} = 1/("k"_{"I"}*("τ"_{"R,max"}^2))`

Example

`"0.05304s⁻¹"=1/("0.42s⁻¹"*(("6.7s")^2))`

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Rate Constant for Second Step First Order Reaction for MFR at Maximum Intermediate Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for Second Step First Order Reaction = 1/(Rate Constant for First Step First Order Reaction*(Time at Maximum Intermediate Concentration^2))
k₂ = 1/(k_I*(τ_R,max^2))
This formula uses 3 Variables

Variables Used

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.
Time at Maximum Intermediate Concentration - (Measured in Second) - Time at Maximum Intermediate Concentration is the instant of time at which maximum concentration of intermediate is achieved.

STEP 1: Convert Input(s) to Base Unit

Rate Constant for First Step First Order Reaction: 0.42 1 Per Second --> 0.42 1 Per Second No Conversion Required
Time at Maximum Intermediate Concentration: 6.7 Second --> 6.7 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k₂ = 1/(k_I*(τ_R,max^2)) --> 1/(0.42*(6.7^2))

Evaluating ... ...

k₂ = 0.0530397055235549

STEP 3: Convert Result to Output's Unit

0.0530397055235549 1 Per Second --> No Conversion Required

FINAL ANSWER

0.0530397055235549 ≈ 0.05304 1 Per Second <-- Rate Constant for Second Step First Order Reaction

(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))

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