Rate Constant for Second Order Reaction from Arrhenius Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Ksecond = Afactor-secondorder*exp(-Ea1/([R]*TSecondOrder))
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 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.
Frequency Factor from Arrhenius Eqn for 2nd Order - (Measured in Cubic Meter per Mole Second) - Frequency Factor from Arrhenius Eqn for 2nd 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 Second Order Reaction - (Measured in Kelvin) - Temperature for Second 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 2nd Order: 0.674313 Liter per Mole Second --> 0.000674313 Cubic Meter per Mole Second (Check conversion ​here)
Activation Energy: 197.3778 Joule Per Mole --> 197.3778 Joule Per Mole No Conversion Required
Temperature for Second Order Reaction: 84.99993 Kelvin --> 84.99993 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ksecond = Afactor-secondorder*exp(-Ea1/([R]*TSecondOrder)) --> 0.000674313*exp(-197.3778/([R]*84.99993))
Evaluating ... ...
Ksecond = 0.000509999996901272
STEP 3: Convert Result to Output's Unit
0.000509999996901272 Cubic Meter per Mole Second -->0.509999996901273 Liter per Mole Second (Check conversion ​here)
FINAL ANSWER
0.509999996901273 0.51 Liter per Mole Second <-- Rate Constant for Second Order Reaction
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has created this Calculator and 700+ more calculators!
Verifier Image
Verified by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
Shivam Sinha has verified this Calculator and 25+ more calculators!

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

11 Temperature Dependency from Arrhenius' Law Calculators

Activation Energy using Rate Constant at Two Different Temperatures
​ Go Activation Energy Rate Constant = [R]*ln(Rate Constant at Temperature 2/Rate Constant at Temperature 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Activation Energy using Reaction Rate at Two Different Temperatures
​ Go Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Temperature in Arrhenius Equation for First Order Reaction
​ Go 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)))
Temperature in Arrhenius Equation for Zero Order Reaction
​ Go Temperature in Arrhenius Eq Zero Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for Zero Order/Rate Constant for Zero Order Reaction)))
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))
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 First Order Reaction from Arrhenius Equation
​ 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
​ 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
​ Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Arrhenius Constant for Zero Order Reaction
​ Go Frequency Factor from Arrhenius Eqn for Zero Order = Rate Constant for Zero Order Reaction/exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))

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

Key Reactant Conversion with Varying Density,Temperature and Total Pressure
​ Go Key-Reactant Conversion = (1-((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))/(1+Fractional Volume Change*((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))
Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure
​ 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
​ 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))
Activation Energy using Rate Constant at Two Different Temperatures
​ Go Activation Energy Rate Constant = [R]*ln(Rate Constant at Temperature 2/Rate Constant at Temperature 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Activation Energy using Reaction Rate at Two Different Temperatures
​ Go Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Temperature in Arrhenius Equation for First Order Reaction
​ Go 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)))
Temperature in Arrhenius Equation for Zero Order Reaction
​ Go Temperature in Arrhenius Eq Zero Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for Zero Order/Rate Constant for Zero Order Reaction)))
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))
Reactant Concentration using Reactant Conversion with Varying Density
​ Go Reactant Concentration with Varying Density = ((1-Reactant Conversion with Varying Density)*(Initial Reactant Concentration))/(1+Fractional Volume Change*Reactant Conversion with Varying Density)
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 First Order Reaction from Arrhenius Equation
​ 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
​ Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Initial Reactant Conversion using Reactant Concentration with Varying Density
​ Go Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
Rate Constant for Zero Order Reaction from Arrhenius Equation
​ Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Arrhenius Constant for Zero Order Reaction
​ Go Frequency Factor from Arrhenius Eqn for Zero Order = Rate Constant for Zero Order Reaction/exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Initial Reactant Concentration using Reactant Conversion with Varying Density
​ Go Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
Initial Reactant Concentration using Reactant Conversion
​ Go Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)
Reactant Concentration using Reactant Conversion
​ Go Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
​ Go Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)

Rate Constant for Second Order Reaction from Arrhenius Equation Formula

Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Ksecond = Afactor-secondorder*exp(-Ea1/([R]*TSecondOrder))

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 Second Order Reaction from Arrhenius Equation?

Rate Constant for Second Order Reaction from Arrhenius Equation calculator uses Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction)) to calculate the Rate Constant for Second Order Reaction, The Rate constant for second order reaction from Arrhenius equation formula is defined as frequency factor times the exponential form of negative activation energy per universal gas constant and temperature. The rate constant of second order reaction is inversely proportional to the temperature of the reaction. Rate Constant for Second Order Reaction is denoted by Ksecond symbol.

How to calculate Rate Constant for Second Order Reaction from Arrhenius Equation using this online calculator? To use this online calculator for Rate Constant for Second Order Reaction from Arrhenius Equation, enter Frequency Factor from Arrhenius Eqn for 2nd Order (Afactor-secondorder), Activation Energy (Ea1) & Temperature for Second Order Reaction (TSecondOrder) and hit the calculate button. Here is how the Rate Constant for Second Order Reaction from Arrhenius Equation calculation can be explained with given input values -> 510 = 0.000674313*exp(-197.3778/([R]*84.99993)).

FAQ

What is Rate Constant for Second Order Reaction from Arrhenius Equation?
The Rate constant for second order reaction from Arrhenius equation formula is defined as frequency factor times the exponential form of negative activation energy per universal gas constant and temperature. The rate constant of second order reaction is inversely proportional to the temperature of the reaction and is represented as Ksecond = Afactor-secondorder*exp(-Ea1/([R]*TSecondOrder)) or Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction)). Frequency Factor from Arrhenius Eqn for 2nd 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 Second Order Reaction is the degree or intensity of heat present in a substance or object.
How to calculate Rate Constant for Second Order Reaction from Arrhenius Equation?
The Rate constant for second order reaction from Arrhenius equation formula is defined as frequency factor times the exponential form of negative activation energy per universal gas constant and temperature. The rate constant of second order reaction is inversely proportional to the temperature of the reaction is calculated using Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction)). To calculate Rate Constant for Second Order Reaction from Arrhenius Equation, you need Frequency Factor from Arrhenius Eqn for 2nd Order (Afactor-secondorder), Activation Energy (Ea1) & Temperature for Second Order Reaction (TSecondOrder). With our tool, you need to enter the respective value for Frequency Factor from Arrhenius Eqn for 2nd Order, Activation Energy & Temperature 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.
How many ways are there to calculate Rate Constant for Second Order Reaction?
In this formula, Rate Constant for Second Order Reaction uses Frequency Factor from Arrhenius Eqn for 2nd Order, Activation Energy & Temperature for Second Order Reaction. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Rate Constant for Second Order Reaction = (1/(Volume at Time t*Time for completion))-(1/(Initial Reactant Volume*Time for completion))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!