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Arrhenius Constant for First Order Reaction Calculator

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✖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 [k_first]			+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%

✖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.ⓘ Arrhenius Constant for First Order Reaction [A_{factor-firstorder}]

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Arrhenius Constant for First Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))
A_{factor-firstorder} = k_first/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

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.
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.
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

Rate Constant for First Order Reaction: 0.520001 1 Per Second --> 0.520001 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

A_{factor-firstorder} = k_first/exp(-E_a1/([R]*T_FirstOrder)) --> 0.520001/exp(-197.3778/([R]*85.00045))

Evaluating ... ...

A_{factor-firstorder} = 0.687534975200368

STEP 3: Convert Result to Output's Unit

0.687534975200368 1 Per Second --> No Conversion Required

FINAL ANSWER

0.687534975200368 ≈ 0.687535 1 Per Second <-- Frequency Factor from Arrhenius Eqn for 1st Order

(Calculation completed in 00.020 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

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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)

Arrhenius Constant for First Order Reaction 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 Arrhenius Constant for First Order Reaction?

Arrhenius Constant for First Order Reaction calculator uses Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction)) to calculate the Frequency Factor from Arrhenius Eqn for 1st Order, The Arrhenius constant for first order reaction formula is defined as the rate constant of the first-order reaction per exponential of negative activation energy divided by universal gas constant times temperature. Frequency factor measure the frequency of the molecular collisions that have the proper orientation between particles and appropriate temperature so that the reaction can occur. Frequency Factor from Arrhenius Eqn for 1st Order is denoted by A_{factor-firstorder} symbol.

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

FAQ

What is Arrhenius Constant for First Order Reaction?

The Arrhenius constant for first order reaction formula is defined as the rate constant of the first-order reaction per exponential of negative activation energy divided by universal gas constant times temperature. Frequency factor measure the frequency of the molecular collisions that have the proper orientation between particles and appropriate temperature so that the reaction can occur and is represented as A_{factor-firstorder} = k_first/exp(-E_a1/([R]*T_FirstOrder)) or Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction)). The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant, 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 Arrhenius Constant for First Order Reaction?

The Arrhenius constant for first order reaction formula is defined as the rate constant of the first-order reaction per exponential of negative activation energy divided by universal gas constant times temperature. Frequency factor measure the frequency of the molecular collisions that have the proper orientation between particles and appropriate temperature so that the reaction can occur is calculated using Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction)). To calculate Arrhenius Constant for First Order Reaction, you need Rate Constant for First Order Reaction (k_first), Activation Energy (E_a1) & Temperature for First Order Reaction (T_FirstOrder). With our tool, you need to enter the respective value for Rate Constant for First Order Reaction, 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.

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