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

STEP 0: Pre-Calculation Summary
Formula Used
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))
kI = (1/Δt)*ln(CA0/(CA0-(k0*Δt)-CR))
This formula uses 1 Functions, 5 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
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 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.
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 Zero Order Rxn for Multiple Rxns - (Measured in Mole per Cubic Meter Second) - The Rate Constant for Zero Order Rxn for Multiple Rxns is equal to the rate of the reaction because in this case the rate of reaction is proportional to zero power of the conc of the reactant.
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.
STEP 1: Convert Input(s) to Base Unit
Time Interval for Multiple Reactions: 3 Second --> 3 Second No Conversion Required
Initial Reactant Concentration for Multiple Rxns: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Rate Constant for Zero Order Rxn for Multiple Rxns: 6.5 Mole per Cubic Meter Second --> 6.5 Mole per Cubic Meter Second No Conversion Required
Intermediate Concentration for Series Rxn: 10 Mole per Cubic Meter --> 10 Mole per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kI = (1/Δt)*ln(CA0/(CA0-(k0*Δt)-CR)) --> (1/3)*ln(80/(80-(6.5*3)-10))
Evaluating ... ...
kI = 0.153351099464189
STEP 3: Convert Result to Output's Unit
0.153351099464189 1 Per Second --> No Conversion Required
FINAL ANSWER
0.153351099464189 0.153351 1 Per Second <-- Rate Constant for First Step First Order Reaction
(Calculation completed in 00.004 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)

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

​LaTeX ​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))
kI = (1/Δt)*ln(CA0/(CA0-(k0*Δt)-CR))

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

Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction calculator uses 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)) to calculate the Rate Constant for First Step First Order Reaction, The Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction formula is defined as the the proportionality constant of a reaction which is first order but is followed by zero order reaction using rate constant for zero order reaction. Rate Constant for First Step First Order Reaction is denoted by kI symbol.

How to calculate Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction using this online calculator? To use this online calculator for Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction, enter Time Interval for Multiple Reactions (Δt), Initial Reactant Concentration for Multiple Rxns (CA0), Rate Constant for Zero Order Rxn for Multiple Rxns (k0) & Intermediate Concentration for Series Rxn (CR) and hit the calculate button. Here is how the Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction calculation can be explained with given input values -> 0.153351 = (1/3)*ln(80/(80-(6.5*3)-10)).

FAQ

What is Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?
The Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction formula is defined as the the proportionality constant of a reaction which is first order but is followed by zero order reaction using rate constant for zero order reaction and is represented as kI = (1/Δt)*ln(CA0/(CA0-(k0*Δt)-CR)) or 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)). A Time Interval for Multiple Reactions is the amount of time required for the change from initial to the final state, The Initial Reactant Concentration for Multiple Rxns refers to the amount of reactant present in the solvent before the considered process, The Rate Constant for Zero Order Rxn for Multiple Rxns is equal to the rate of the reaction because in this case the rate of reaction is proportional to zero power of the conc of the reactant & Intermediate Concentration for Series Rxn is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.
How to calculate Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction?
The Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction formula is defined as the the proportionality constant of a reaction which is first order but is followed by zero order reaction using rate constant for zero order reaction is calculated using 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)). To calculate Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction, you need Time Interval for Multiple Reactions (Δt), Initial Reactant Concentration for Multiple Rxns (CA0), Rate Constant for Zero Order Rxn for Multiple Rxns (k0) & Intermediate Concentration for Series Rxn (CR). With our tool, you need to enter the respective value for Time Interval for Multiple Reactions, Initial Reactant Concentration for Multiple Rxns, Rate Constant for Zero Order Rxn for Multiple Rxns & Intermediate Concentration for Series Rxn 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 Rate Constant for First Step First Order Reaction?
In this formula, Rate Constant for First Step First Order Reaction uses Time Interval for Multiple Reactions, Initial Reactant Concentration for Multiple Rxns, Rate Constant for Zero Order Rxn for Multiple Rxns & Intermediate Concentration for Series Rxn. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
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