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

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✖A Time Interval is the amount of time required for the change from initial to the final state.ⓘ Time Interval [Δt]			+10% -10%
✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration [C_o]			+10% -10%
✖The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.ⓘ Rate Constant for Zero Order Reaction [k₀]			+10% -10%
✖Intermediate Concentration is the concentration of product of first step or intermediate, of second step of first order irreversible reaction.ⓘ Intermediate Concentration [C_R]			+10% -10%

✖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 Order Reaction using Rate Constant for Zero Order Reaction [k₁]

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Formula

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

Formula

`"k"_{"1"} = (1/"Δt")*ln("C"_{"o"}/("C"_{"o"}-("k"_{"0"}*"Δt")-"C"_{"R"}))`

Example

`"0.373181s⁻¹"=(1/"0.48s")*ln("80mol/m³"/("80mol/m³"-("6.5mol/m³*s"*"0.48s")-"10mol/m³"))`

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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)*ln(Initial Reactant Concentration/(Initial Reactant Concentration-(Rate Constant for Zero Order Reaction*Time Interval)-Intermediate Concentration))
k₁ = (1/Δt)*ln(C_o/(C_o-(k₀*Δt)-C_R))
This formula uses 1 Functions, 5 Variables

Functions Used

ln - Natural logarithm function (base e), 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 - (Measured in Second) - A Time Interval is the amount of time required for the change from initial to the final state.
Initial Reactant Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.
Rate Constant for Zero Order Reaction - (Measured in Mole per Cubic Meter Second) - The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.
Intermediate Concentration - (Measured in Mole per Cubic Meter) - Intermediate Concentration 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: 0.48 Second --> 0.48 Second No Conversion Required
Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Rate Constant for Zero Order Reaction: 6.5 Mole per Cubic Meter Second --> 6.5 Mole per Cubic Meter Second No Conversion Required
Intermediate Concentration: 10 Mole per Cubic Meter --> 10 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k₁ = (1/Δt)*ln(C_o/(C_o-(k₀*Δt)-C_R)) --> (1/0.48)*ln(80/(80-(6.5*0.48)-10))

Evaluating ... ...

k₁ = 0.373180553952991

STEP 3: Convert Result to Output's Unit

0.373180553952991 1 Per Second --> No Conversion Required

FINAL ANSWER

0.373180553952991 ≈ 0.373181 1 Per Second <-- Rate Constant for First Step First Order Reaction

(Calculation completed in 00.006 seconds)

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< 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*(1-(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)*(1-ln(Rate Constant for Zero Order Reaction/(Initial Reactant Concentration*Rate Constant for First Step First Order Reaction)))))

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

Go Rate Constant for Zero Order Reaction = (Initial Reactant Concentration/Time Interval)*(1-exp((-Rate Constant for First Step First Order Reaction)*Time Interval)-(Intermediate Concentration/Initial Reactant Concentration))

Intermediate Concentration for First Order followed by Zero Order Reaction

Go Intermediate Concentration = Initial Reactant Concentration*(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval)-((Rate Constant for Zero Order Reaction*Time Interval)/Initial Reactant Concentration))

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)*ln(Initial Reactant Concentration/(Initial Reactant Concentration-(Rate Constant for Zero Order Reaction*Time Interval)-Intermediate Concentration))

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)/Rate Constant for Zero Order Reaction)

Initial Reactant Concentration using Intermediate for First Order followed by Zero Order Reaction

Go Initial Reactant Concentration = (Intermediate Concentration+(Rate Constant for Zero Order Reaction*Time Interval))/(1-exp(-Rate Constant for First Step First Order Reaction*Time Interval))

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)*ln(Initial Reactant Concentration/Reactant Concentration)

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

Go Time Interval = (1/Rate Constant for First Step First Order Reaction)*ln(Initial Reactant Concentration/Reactant Concentration)

Initial Reactant Concentration in First Order followed by Zero Order Reaction

Go Initial Reactant Concentration = Reactant Concentration/exp(-Rate Constant for First Step First Order Reaction*Time Interval)

Reactant Concentration in First Order followed by Zero Order Reaction

Go Reactant Concentration = Initial Reactant Concentration*exp(-Rate Constant for First Step First Order Reaction*Time Interval)

Rate Constant for First Order Reaction using Rate Constant for 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 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)*ln(Initial Reactant Concentration/(Initial Reactant Concentration-(Rate Constant for Zero Order Reaction*Time Interval)-Intermediate Concentration)) 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 k₁ 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 (Δt), Initial Reactant Concentration (C_o), Rate Constant for Zero Order Reaction (k₀) & Intermediate Concentration (C_R) 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 -> 0.373181 = (1/0.48)*ln(80/(80-(6.5*0.48)-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 k₁ = (1/Δt)*ln(C_o/(C_o-(k₀*Δt)-C_R)) or Rate Constant for First Step First Order Reaction = (1/Time Interval)*ln(Initial Reactant Concentration/(Initial Reactant Concentration-(Rate Constant for Zero Order Reaction*Time Interval)-Intermediate Concentration)). A Time Interval is the amount of time required for the change from initial to the final state, The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process, The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant & Intermediate Concentration 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)*ln(Initial Reactant Concentration/(Initial Reactant Concentration-(Rate Constant for Zero Order Reaction*Time Interval)-Intermediate Concentration)). To calculate Rate Constant for First Order Reaction using Rate Constant for Zero Order Reaction, you need Time Interval (Δt), Initial Reactant Concentration (C_o), Rate Constant for Zero Order Reaction (k₀) & Intermediate Concentration (C_R). With our tool, you need to enter the respective value for Time Interval, Initial Reactant Concentration, Rate Constant for Zero Order Reaction & Intermediate Concentration 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, Initial Reactant Concentration, Rate Constant for Zero Order Reaction & Intermediate Concentration. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rate Constant for First Step First Order Reaction = (1/Time Interval)*ln(Initial Reactant Concentration/Reactant Concentration)

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