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Activation Energy for First Order Reaction Calculator

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✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_gas]			+10% -10%
✖The Frequency Factor from Arrhenius Equation is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation.ⓘ Frequency Factor from Arrhenius Equation [A]			+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%

✖The Energy of Activation is the minimum amount of energy that is required to activate atoms or molecules.ⓘ Activation Energy for First Order Reaction [E_a]

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Activation Energy for First Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction))
E_a = [R]*T_gas*(ln(A/k_first))
This formula uses 1 Constants, 1 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)

Variables Used

Energy of Activation - (Measured in Joule Per Mole) - The Energy of Activation is the minimum amount of energy that is required to activate atoms or molecules.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Frequency Factor from Arrhenius Equation - (Measured in Cubic Meter per Mole Second) - The Frequency Factor from Arrhenius Equation 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

Temperature of Gas: 273 Kelvin --> 273 Kelvin No Conversion Required
Frequency Factor from Arrhenius Equation: 149000000000 Liter per Mole Second --> 149000000 Cubic Meter per Mole Second (Check conversion here)
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

E_a = [R]*T_gas*(ln(A/k_first)) --> [R]*273*(ln(149000000/0.520001))

Evaluating ... ...

E_a = 44201.6215826265

STEP 3: Convert Result to Output's Unit

44201.6215826265 Joule Per Mole --> No Conversion Required

FINAL ANSWER

44201.6215826265 ≈ 44201.62 Joule Per Mole <-- Energy of Activation

(Calculation completed in 00.020 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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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

Activation Energy for First Order Reaction Formula

LaTeX Go

Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction))
E_a = [R]*T_gas*(ln(A/k_first))

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 Activation Energy for First Order Reaction?

Activation Energy for First Order Reaction calculator uses Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction)) to calculate the Energy of Activation, The Activation energy for first order reaction formula is defined as the multiplication of universal gas constant with temperature and with the ratio of the natural logarithm of frequency factor to the rate constant. The minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation. Energy of Activation is denoted by E_a symbol.

How to calculate Activation Energy for First Order Reaction using this online calculator? To use this online calculator for Activation Energy for First Order Reaction, enter Temperature of Gas (T_gas), Frequency Factor from Arrhenius Equation (A) & Rate Constant for First Order Reaction (k_first) and hit the calculate button. Here is how the Activation Energy for First Order Reaction calculation can be explained with given input values -> 44201.63 = [R]*273*(ln(149000000/0.520001)).

FAQ

What is Activation Energy for First Order Reaction?

The Activation energy for first order reaction formula is defined as the multiplication of universal gas constant with temperature and with the ratio of the natural logarithm of frequency factor to the rate constant. The minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation and is represented as E_a = [R]*T_gas*(ln(A/k_first)) or Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction)). The temperature of Gas is the measure of hotness or coldness of a gas, The Frequency Factor from Arrhenius Equation 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 Activation Energy for First Order Reaction?

The Activation energy for first order reaction formula is defined as the multiplication of universal gas constant with temperature and with the ratio of the natural logarithm of frequency factor to the rate constant. The minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation is calculated using Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction)). To calculate Activation Energy for First Order Reaction, you need Temperature of Gas (T_gas), Frequency Factor from Arrhenius Equation (A) & Rate Constant for First Order Reaction (k_first). With our tool, you need to enter the respective value for Temperature of Gas, Frequency Factor from Arrhenius Equation & 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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