Temperature in Arrhenius Equation for Second Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
TempSecondOrder = Ea1/[R]*(ln(Afactor-secondorder/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
Temperature in Arrhenius Eq for 2nd Order Reaction - (Measured in Kelvin) - Temperature in Arrhenius Eq for 2nd 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 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.
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
Activation Energy: 197.3778 Joule Per Mole --> 197.3778 Joule Per Mole No Conversion Required
Frequency Factor from Arrhenius Eqn for 2nd Order: 0.674313 Liter per Mole Second --> 0.000674313 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
TempSecondOrder = Ea1/[R]*(ln(Afactor-secondorder/Ksecond)) --> 197.3778/[R]*(ln(0.000674313/0.00051))
Evaluating ... ...
TempSecondOrder = 6.62994094895999
STEP 3: Convert Result to Output's Unit
6.62994094895999 Kelvin --> No Conversion Required
FINAL ANSWER
6.62994094895999 6.629941 Kelvin <-- Temperature in Arrhenius Eq for 2nd Order Reaction
(Calculation completed in 00.020 seconds)

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Second Order Reaction Calculators

Time of Completion for different Products for Second Order Reaction
​ LaTeX ​ 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
​ LaTeX ​ 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))
Time of Completion for Same product for Second Order Reaction
​ LaTeX ​ 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 Same Product for Second Order Reaction
​ LaTeX ​ 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)

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 Second Order Reaction Formula

​LaTeX ​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))
TempSecondOrder = Ea1/[R]*(ln(Afactor-secondorder/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 Temperature in Arrhenius Equation for Second Order Reaction?

Temperature in Arrhenius Equation for Second Order Reaction calculator uses 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)) to calculate the Temperature in Arrhenius Eq for 2nd Order Reaction, The Temperature in Arrhenius equation for second 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 2nd Order Reaction is denoted by TempSecondOrder symbol.

How to calculate Temperature in Arrhenius Equation for Second Order Reaction using this online calculator? To use this online calculator for Temperature in Arrhenius Equation for Second Order Reaction, enter Activation Energy (Ea1), Frequency Factor from Arrhenius Eqn for 2nd Order (Afactor-secondorder) & Rate Constant for Second Order Reaction (Ksecond) and hit the calculate button. Here is how the Temperature in Arrhenius Equation for Second Order Reaction calculation can be explained with given input values -> 6.629941 = 197.3778/[R]*(ln(0.000674313/0.00051)).

FAQ

What is Temperature in Arrhenius Equation for Second Order Reaction?
The Temperature in Arrhenius equation for second 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 TempSecondOrder = Ea1/[R]*(ln(Afactor-secondorder/Ksecond)) or 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 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 2nd Order 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 Temperature in Arrhenius Equation for Second Order Reaction?
The Temperature in Arrhenius equation for second 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 2nd Order Reaction = Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 2nd Order/Rate Constant for Second Order Reaction)). To calculate Temperature in Arrhenius Equation for Second Order Reaction, you need Activation Energy (Ea1), Frequency Factor from Arrhenius Eqn for 2nd Order (Afactor-secondorder) & Rate Constant for Second Order Reaction (Ksecond). With our tool, you need to enter the respective value for Activation Energy, Frequency Factor from Arrhenius Eqn for 2nd Order & 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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