Time Interval for First Order Reaction in First Order followed by Zero Order Reaction 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%
✖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%
✖The Reactant Concentration for Zero Order Series Rxn refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration for Zero Order Series Rxn [C_k0]			+10% -10%

✖A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state.ⓘ Time Interval for First Order Reaction in First Order followed by Zero Order Reaction [Δt]

⎘ Copy

👎

Formula

✖

Time Interval for First Order Reaction in First Order followed by Zero Order Reaction

Formula

`"Δt" = (1/"k"_{"I"})*ln("C"_{"A0"}/"C"_{"k0"})`

Example

`"2.866602s"=(1/"0.42s⁻¹")*ln("80mol/m³"/"24mol/m³")`

Calculator

LaTeX

Reset

👍

Download First Order followed by Zero Order Reaction Formulas PDF PDF Image

Time Interval for First Order Reaction in First Order followed by Zero Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Interval for Multiple Reactions = (1/Rate Constant for First Step First Order Reaction)*ln(Initial Reactant Concentration for Multiple Rxns/Reactant Concentration for Zero Order Series Rxn)
Δt = (1/k_I)*ln(C_A0/C_k0)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Time Interval for Multiple Reactions - (Measured in Second) - A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state.
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.
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 Zero Order Series Rxn - (Measured in Mole per Cubic Meter) - The Reactant Concentration for Zero Order Series Rxn refers to the amount of reactant present in the solvent at any given point of time during the process.

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
Initial Reactant Concentration for Multiple Rxns: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Concentration for Zero Order Series Rxn: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δt = (1/k_I)*ln(C_A0/C_k0) --> (1/0.42)*ln(80/24)

Evaluating ... ...

Δt = 2.86660191506175

STEP 3: Convert Result to Output's Unit

2.86660191506175 Second --> No Conversion Required

FINAL ANSWER

2.86660191506175 ≈ 2.866602 Second <-- Time Interval for Multiple Reactions

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Homogeneous Reactions in Ideal Reactors » Potpourri of Multiple Reactions » First Order followed by Zero Order Reaction » Time Interval for First Order Reaction in First Order followed by Zero Order Reaction

Credits

Created by akhilesh

K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik

akhilesh has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 10+ First Order followed by Zero Order Reaction Calculators

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)))))

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 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)

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)

Time Interval for First Order Reaction in First Order followed by Zero Order Reaction

Go Time Interval for Multiple Reactions = (1/Rate Constant for First Step First Order Reaction)*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)

< 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

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

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction

Rate Constant for Zero Order Reaction using Rate Constant for First Order Reaction

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

Time at Max Intermediate in First Order followed by Zero 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)

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))

Time Interval for First Order Reaction in First Order followed by Zero Order Reaction Formula

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 are first order and zero order reactions?

A first-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the concentration of only one reactant. In other words, a first-order reaction is a chemical reaction in which the rate varies based on the changes in the concentration of only one of the reactants.
Zero-order reaction is a chemical reaction wherein the rate does not vary with the increase or decrease in the concentration of the reactants.

How to Calculate Time Interval for First Order Reaction in First Order followed by Zero Order Reaction?

Time Interval for First Order Reaction in First Order followed by Zero Order Reaction calculator uses Time Interval for Multiple Reactions = (1/Rate Constant for First Step First Order Reaction)*ln(Initial Reactant Concentration for Multiple Rxns/Reactant Concentration for Zero Order Series Rxn) to calculate the Time Interval for Multiple Reactions, The Time Interval for First Order Reaction in First Order followed by Zero Order Reaction formula is defined as the overall time duration in which both first order and zero order reaction occurs. Time Interval for Multiple Reactions is denoted by Δt symbol.

How to calculate Time Interval for First Order Reaction in First Order followed by Zero Order Reaction using this online calculator? To use this online calculator for Time Interval for First Order Reaction in First Order followed by Zero Order Reaction, enter Rate Constant for First Step First Order Reaction (k_I), Initial Reactant Concentration for Multiple Rxns (C_A0) & Reactant Concentration for Zero Order Series Rxn (C_k0) and hit the calculate button. Here is how the Time Interval for First Order Reaction in First Order followed by Zero Order Reaction calculation can be explained with given input values -> 2.866602 = (1/0.42)*ln(80/24).

FAQ

What is Time Interval for First Order Reaction in First Order followed by Zero Order Reaction?

The Time Interval for First Order Reaction in First Order followed by Zero Order Reaction formula is defined as the overall time duration in which both first order and zero order reaction occurs and is represented as Δt = (1/k_I)*ln(C_A0/C_k0) or Time Interval for Multiple Reactions = (1/Rate Constant for First Step First Order Reaction)*ln(Initial Reactant Concentration for Multiple Rxns/Reactant Concentration for Zero Order Series Rxn). 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, The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process & The Reactant Concentration for Zero Order Series Rxn refers to the amount of reactant present in the solvent at any given point of time during the process.

How to calculate Time Interval for First Order Reaction in First Order followed by Zero Order Reaction?

The Time Interval for First Order Reaction in First Order followed by Zero Order Reaction formula is defined as the overall time duration in which both first order and zero order reaction occurs is calculated using Time Interval for Multiple Reactions = (1/Rate Constant for First Step First Order Reaction)*ln(Initial Reactant Concentration for Multiple Rxns/Reactant Concentration for Zero Order Series Rxn). To calculate Time Interval for First Order Reaction in First Order followed by Zero Order Reaction, you need Rate Constant for First Step First Order Reaction (k_I), Initial Reactant Concentration for Multiple Rxns (C_A0) & Reactant Concentration for Zero Order Series Rxn (C_k0). With our tool, you need to enter the respective value for Rate Constant for First Step First Order Reaction, Initial Reactant Concentration for Multiple Rxns & Reactant Concentration for Zero Order Series Rxn and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search