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Rate Constant for First Order Reaction from Arrhenius Equation Calculator

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✖Frequency Factor from Arrhenius Eqn for 1st Order is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation.ⓘ Frequency Factor from Arrhenius Eqn for 1st Order [A_{factor-firstorder}]			+10% -10%
✖Activation Energy is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation.ⓘ Activation Energy [E_a1]			+10% -10%
✖Temperature for First Order Reaction is the degree or intensity of heat present in a substance or object.ⓘ Temperature for First Order Reaction [T_FirstOrder]			+10% -10%

✖The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction from Arrhenius Equation [k_first]

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Rate Constant for First Order Reaction from Arrhenius Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))
k_first = A_{factor-firstorder}*exp(-E_a1/([R]*T_FirstOrder))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.
Frequency Factor from Arrhenius Eqn for 1st Order - (Measured in 1 Per Second) - Frequency Factor from Arrhenius Eqn for 1st Order is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation.
Activation Energy - (Measured in Joule Per Mole) - Activation Energy is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation.
Temperature for First Order Reaction - (Measured in Kelvin) - Temperature for First Order Reaction is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Frequency Factor from Arrhenius Eqn for 1st Order: 0.687535 1 Per Second --> 0.687535 1 Per Second No Conversion Required
Activation Energy: 197.3778 Joule Per Mole --> 197.3778 Joule Per Mole No Conversion Required
Temperature for First Order Reaction: 85.00045 Kelvin --> 85.00045 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_first = A_{factor-firstorder}*exp(-E_a1/([R]*T_FirstOrder)) --> 0.687535*exp(-197.3778/([R]*85.00045))

Evaluating ... ...

k_first = 0.520001018756622

STEP 3: Convert Result to Output's Unit

0.520001018756622 1 Per Second --> No Conversion Required

FINAL ANSWER

0.520001018756622 ≈ 0.520001 1 Per Second <-- Rate Constant for First Order Reaction

(Calculation completed in 00.007 seconds)

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< First Order Reaction Calculators

Time for Completion for First Order given Rate Constant and Initial Concentration

LaTeX Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t)

Rate Constant of First Order Reaction using Logarithm to base 10

LaTeX Go Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t)

Time for Completion of First Order Reaction

LaTeX Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A)

Half Time Completion of First Order Reaction

LaTeX Go Half Time = 0.693/Rate Constant for First Order Reaction

< Temperature Dependency from Arrhenius' Law Calculators

Rate Constant for Second Order Reaction from Arrhenius Equation

LaTeX Go Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))

Rate Constant for First Order Reaction from Arrhenius Equation

LaTeX Go Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))

Arrhenius Constant for First Order Reaction

LaTeX Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))

Rate Constant for Zero Order Reaction from Arrhenius Equation

LaTeX Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))

< Basics of Reactor Design and Temperature Dependency from Arrhenius Law Calculators

Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure

LaTeX Go Initial Key-Reactant Concentration = Key-Reactant Concentration*((1+Fractional Volume Change*Key-Reactant Conversion)/(1-Key-Reactant Conversion))*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))

Key Reactant Concentration with Varying Density,Temperature and Total Pressure

LaTeX Go Key-Reactant Concentration = Initial Key-Reactant Concentration*((1-Key-Reactant Conversion)/(1+Fractional Volume Change*Key-Reactant Conversion))*((Initial Temperature*Total Pressure)/(Temperature*Initial Total Pressure))

Initial Reactant Concentration using Reactant Conversion with Varying Density

LaTeX Go Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)

Initial Reactant Concentration using Reactant Conversion

LaTeX Go Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)

Rate Constant for First Order Reaction from Arrhenius Equation Formula

LaTeX Go

What is significance of Arrhenius equation?

The Arrhenius equation explains the effect of temperature on the rate constant. There is certainly the minimum amount of energy known as threshold energy which the reactant molecule must possess before it can react to produce products. Most of the molecules of the reactants, however, have much less kinetic energy than the threshold energy at room temperature, and hence, they do not react. As the temperature is increased, the energy of the reactant molecules increases and become equal to or greater than the threshold energy, which causes the occurrence of reaction.

How to Calculate Rate Constant for First Order Reaction from Arrhenius Equation?

Rate Constant for First Order Reaction from Arrhenius Equation calculator uses Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction)) to calculate the Rate Constant for First Order Reaction, The Rate constant for first order reaction from Arrhenius equation formula is defined as the frequency factor times the exponential of negative activation energy per universal gas constant and temperature. The rate constant of first order reaction is inversely proportional to the temperature of the reaction. As the temperature of the reaction increases the rate constant will decrease. Rate Constant for First Order Reaction is denoted by k_first symbol.

How to calculate Rate Constant for First Order Reaction from Arrhenius Equation using this online calculator? To use this online calculator for Rate Constant for First Order Reaction from Arrhenius Equation, enter Frequency Factor from Arrhenius Eqn for 1st Order (A_{factor-firstorder}), Activation Energy (E_a1) & Temperature for First Order Reaction (T_FirstOrder) and hit the calculate button. Here is how the Rate Constant for First Order Reaction from Arrhenius Equation calculation can be explained with given input values -> 0.520001 = 0.687535*exp(-197.3778/([R]*85.00045)).

FAQ

What is Rate Constant for First Order Reaction from Arrhenius Equation?

The Rate constant for first order reaction from Arrhenius equation formula is defined as the frequency factor times the exponential of negative activation energy per universal gas constant and temperature. The rate constant of first order reaction is inversely proportional to the temperature of the reaction. As the temperature of the reaction increases the rate constant will decrease and is represented as k_first = A_{factor-firstorder}*exp(-E_a1/([R]*T_FirstOrder)) or Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction)). Frequency Factor from Arrhenius Eqn for 1st Order is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation, Activation Energy is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation & Temperature for First Order Reaction is the degree or intensity of heat present in a substance or object.

How to calculate Rate Constant for First Order Reaction from Arrhenius Equation?

The Rate constant for first order reaction from Arrhenius equation formula is defined as the frequency factor times the exponential of negative activation energy per universal gas constant and temperature. The rate constant of first order reaction is inversely proportional to the temperature of the reaction. As the temperature of the reaction increases the rate constant will decrease is calculated using Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction)). To calculate Rate Constant for First Order Reaction from Arrhenius Equation, you need Frequency Factor from Arrhenius Eqn for 1st Order (A_{factor-firstorder}), Activation Energy (E_a1) & Temperature for First Order Reaction (T_FirstOrder). With our tool, you need to enter the respective value for Frequency Factor from Arrhenius Eqn for 1st Order, Activation Energy & Temperature for First Order Reaction 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 Order Reaction?

In this formula, Rate Constant for First Order Reaction uses Frequency Factor from Arrhenius Eqn for 1st Order, Activation Energy & Temperature for First Order Reaction. We can use 3 other way(s) to calculate the same, which is/are as follows -

Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
Rate Constant for First Order Reaction = 0.693/Half Time
Rate Constant for First Order Reaction = (2.303/Time for completion)*log10(Initial Reactant Volume/Volume at Time t)

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