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/kI)*ln(CA0/Ck0)
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/kI)*ln(CA0/Ck0) --> (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 00.020 seconds)

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First Order followed by Zero Order Reaction Calculators

Intermediate Concentration for First Order followed by Zero Order Reaction
​ LaTeX ​ 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 in First Order followed by Zero Order Reaction
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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)

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)

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

​LaTeX ​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)
Δt = (1/kI)*ln(CA0/Ck0)

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 (kI), Initial Reactant Concentration for Multiple Rxns (CA0) & Reactant Concentration for Zero Order Series Rxn (Ck0) 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/kI)*ln(CA0/Ck0) 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 (kI), Initial Reactant Concentration for Multiple Rxns (CA0) & Reactant Concentration for Zero Order Series Rxn (Ck0). 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.
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