Activation Energy for Second Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy of Activation = [R]*Temperature_Kinetics*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant for Second Order Reaction))
Ea = [R]*TKinetics*(ln(Afactor)-ln(Ksecond))
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_Kinetics - (Measured in Kelvin) - Temperature_Kinetics is the degree or intensity of heat present in a substance or object.
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 Second Order Reaction - (Measured in Cubic Meter per Mole Second) - The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
STEP 1: Convert Input(s) to Base Unit
Temperature_Kinetics: 85 Kelvin --> 85 Kelvin No Conversion Required
Frequency Factor from Arrhenius Equation: 20 Liter per Mole Second --> 0.02 Cubic Meter per Mole Second (Check conversion here)
Rate Constant for Second Order Reaction: 0.51 Liter per Mole Second --> 0.00051 Cubic Meter per Mole Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ea = [R]*TKinetics*(ln(Afactor)-ln(Ksecond)) --> [R]*85*(ln(0.02)-ln(0.00051))
Evaluating ... ...
Ea = 2593.04418017523
STEP 3: Convert Result to Output's Unit
2593.04418017523 Joule Per Mole --> No Conversion Required
FINAL ANSWER
2593.04418017523 2593.044 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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15 Second Order Reaction Calculators

Time of Completion for different Products for Second Order Reaction
Go Time for completion = 2.303/(Rate Constant for Second Order Reaction*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B))
Rate Constant for different Products for Second Order Reaction
Go Rate Constant for First Order Reaction = 2.303/(Time for completion*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B))
Temperature in Arrhenius Equation for Second Order Reaction
Go Temperature in Arrhenius Eq for 2nd Order Reaction = Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 2nd Order/Rate Constant for Second Order Reaction))
Activation Energy for Second Order Reaction
Go Energy of Activation = [R]*Temperature_Kinetics*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant for Second Order Reaction))
Time of Completion for Same product for Second Order Reaction
Go Time for completion = 1/(Concentration at time t for second order*Rate Constant for Second Order Reaction)-1/(Initial Concentration for Second Order Reaction*Rate Constant for Second Order Reaction)
Rate Constant for Second Order Reaction from Arrhenius Equation
Go Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Arrhenius Constant for Second Order Reaction
Go Frequency Factor from Arrhenius Eqn for 2nd Order = Rate Constant for Second Order Reaction/exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Rate Constant for Same Product for Second Order Reaction
Go Rate Constant for Second Order Reaction = 1/(Concentration at time t for second order*Time for completion)-1/(Initial Concentration for Second Order Reaction*Time for completion)
Time for Completion for Same Product by Titration Method for Second Order Reaction
Go Time for completion = (1/(Volume at Time t*Rate Constant for Second Order Reaction))-(1/(Initial Reactant Volume*Rate Constant for Second Order Reaction))
Rate Constant for same product by Titration method for Second Order reaction
Go Rate Constant for Second Order Reaction = (1/(Volume at Time t*Time for completion))-(1/(Initial Reactant Volume*Time for completion))
Quarter life of Second Order Reaction
Go Quarter Life of Second Order Reaction = 1/(Initial Concentration*Rate Constant for Second Order Reaction)
Half Life of Second Order Reaction
Go Half Life of Second Order Reaction = 1/Reactant Concentration*Rate Constant for Second Order Reaction
Order of Bimolecular Reaction with respect to Reactant A
Go Power Raised to Reactant 1 = Overall Order-Power Raised to Reactant 2
Order of Bimolecular Reaction with respect to Reactant B
Go Power Raised to Reactant 2 = Overall Order-Power Raised to Reactant 1
Overall Order of Bimolecular Reaction
Go Overall Order = Power Raised to Reactant 1+Power Raised to Reactant 2

Activation Energy for Second Order Reaction Formula

Energy of Activation = [R]*Temperature_Kinetics*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant for Second Order Reaction))
Ea = [R]*TKinetics*(ln(Afactor)-ln(Ksecond))

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 Second Order Reaction?

Activation Energy for Second Order Reaction calculator uses Energy of Activation = [R]*Temperature_Kinetics*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant for Second Order Reaction)) to calculate the Energy of Activation, The Activation energy for second order reaction formula is defined as the multiplication of universal gas constant with temperature and with the difference of natural logarithms of frequency factor and rate constant. The minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation is called activation energy. Energy of Activation is denoted by Ea symbol.

How to calculate Activation Energy for Second Order Reaction using this online calculator? To use this online calculator for Activation Energy for Second Order Reaction, enter Temperature_Kinetics (TKinetics), Frequency Factor from Arrhenius Equation (Afactor) & Rate Constant for Second Order Reaction (Ksecond) and hit the calculate button. Here is how the Activation Energy for Second Order Reaction calculation can be explained with given input values -> 1211.898 = [R]*85*(ln(0.02)-ln(0.00051)).

FAQ

What is Activation Energy for Second Order Reaction?
The Activation energy for second order reaction formula is defined as the multiplication of universal gas constant with temperature and with the difference of natural logarithms of frequency factor and rate constant. The minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation is called activation energy and is represented as Ea = [R]*TKinetics*(ln(Afactor)-ln(Ksecond)) or Energy of Activation = [R]*Temperature_Kinetics*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant for Second Order Reaction)). Temperature_Kinetics is the degree or intensity of heat present in a substance or object, 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 Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.
How to calculate Activation Energy for Second Order Reaction?
The Activation energy for second order reaction formula is defined as the multiplication of universal gas constant with temperature and with the difference of natural logarithms of frequency factor and rate constant. The minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation is called activation energy is calculated using Energy of Activation = [R]*Temperature_Kinetics*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant for Second Order Reaction)). To calculate Activation Energy for Second Order Reaction, you need Temperature_Kinetics (TKinetics), Frequency Factor from Arrhenius Equation (Afactor) & Rate Constant for Second Order Reaction (Ksecond). With our tool, you need to enter the respective value for Temperature_Kinetics, Frequency Factor from Arrhenius Equation & Rate Constant for Second 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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