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Temperature in Arrhenius Equation for First Order Reaction Calculator

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✖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%
✖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%
✖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%

✖Temperature in Arrhenius Eq for 1st Order Reaction is the degree or intensity of heat present in a substance or object.ⓘ Temperature in Arrhenius Equation for First Order Reaction [Temp_FirstOrder]

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Temperature in Arrhenius Equation for First Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction)))
Temp_FirstOrder = modulus(E_a1/[R]*(ln(A_{factor-firstorder}/k_first)))
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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)
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus

Variables Used

Temperature in Arrhenius Eq for 1st Order Reaction - (Measured in Kelvin) - Temperature in Arrhenius Eq for 1st Order Reaction is the degree or intensity of heat present in a substance or object.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Activation Energy: 197.3778 Joule Per Mole --> 197.3778 Joule Per Mole No Conversion Required
Frequency Factor from Arrhenius Eqn for 1st Order: 0.687535 1 Per Second --> 0.687535 1 Per Second No Conversion Required
Rate Constant for First Order Reaction: 0.520001 1 Per Second --> 0.520001 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Temp_FirstOrder = modulus(E_a1/[R]*(ln(A_{factor-firstorder}/k_first))) --> modulus(197.3778/[R]*(ln(0.687535/0.520001)))

Evaluating ... ...

Temp_FirstOrder = 6.62990139004984

STEP 3: Convert Result to Output's Unit

6.62990139004984 Kelvin --> No Conversion Required

FINAL ANSWER

6.62990139004984 ≈ 6.629901 Kelvin <-- Temperature in Arrhenius Eq for 1st Order Reaction

(Calculation completed in 00.004 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)

Temperature in Arrhenius Equation 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 Temperature in Arrhenius Equation for First Order Reaction?

Temperature in Arrhenius Equation for First Order Reaction calculator uses Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction))) to calculate the Temperature in Arrhenius Eq for 1st Order Reaction, The Temperature in Arrhenius equation for first order reaction formula is defined as activation energy per universal gas constant times the difference of natural logarithm of frequency factor and rate constant. Temperature in Arrhenius Eq for 1st Order Reaction is denoted by Temp_FirstOrder symbol.

How to calculate Temperature in Arrhenius Equation for First Order Reaction using this online calculator? To use this online calculator for Temperature in Arrhenius Equation for First Order Reaction, enter Activation Energy (E_a1), Frequency Factor from Arrhenius Eqn for 1st Order (A_{factor-firstorder}) & Rate Constant for First Order Reaction (k_first) and hit the calculate button. Here is how the Temperature in Arrhenius Equation for First Order Reaction calculation can be explained with given input values -> 6.629901 = modulus(197.3778/[R]*(ln(0.687535/0.520001))).

FAQ

What is Temperature in Arrhenius Equation for First Order Reaction?

The Temperature in Arrhenius equation for first order reaction formula is defined as activation energy per universal gas constant times the difference of natural logarithm of frequency factor and rate constant and is represented as Temp_FirstOrder = modulus(E_a1/[R]*(ln(A_{factor-firstorder}/k_first))) or Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction))). 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, 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 & The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

How to calculate Temperature in Arrhenius Equation for First Order Reaction?

The Temperature in Arrhenius equation for first order reaction formula is defined as activation energy per universal gas constant times the difference of natural logarithm of frequency factor and rate constant is calculated using Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction))). To calculate Temperature in Arrhenius Equation for First Order Reaction, you need Activation Energy (E_a1), Frequency Factor from Arrhenius Eqn for 1st Order (A_{factor-firstorder}) & Rate Constant for First Order Reaction (k_first). With our tool, you need to enter the respective value for Activation Energy, Frequency Factor from Arrhenius Eqn for 1st Order & Rate Constant 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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