Activation Energy using Rate Constant at Two Different Temperatures Calculator

✖Rate Constant at Temperature 2 is the proportionality factor in the rate law of chemical kinetics at Temperature 2.ⓘ Rate Constant at Temperature 2 [K₂]			+10% -10%
✖Rate Constant at Temperature 1 is the proportionality factor in the rate law of chemical kinetics at Temperature 1.ⓘ Rate Constant at Temperature 1 [K₁]			+10% -10%
✖The reaction 1 temperature is the temperature at which reaction 1 occurs.ⓘ Reaction 1 Temperature [T₁]			+10% -10%
✖The reaction 2 temperature is the temperature at which reaction 2 occurs.ⓘ Reaction 2 Temperature [T₂]			+10% -10%

✖Activation Energy Rate Constant 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 using Rate Constant at Two Different Temperatures [E_a2]

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Activation Energy using Rate Constant at Two Different Temperatures Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
E_a2 = [R]*ln(K₂/K₁)*T₁*T₂/(T₂-T₁)
This formula uses 1 Constants, 1 Functions, 5 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

Activation Energy Rate Constant - (Measured in Joule Per Mole) - Activation Energy Rate Constant is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation.
Rate Constant at Temperature 2 - (Measured in 1 Per Second) - Rate Constant at Temperature 2 is the proportionality factor in the rate law of chemical kinetics at Temperature 2.
Rate Constant at Temperature 1 - (Measured in 1 Per Second) - Rate Constant at Temperature 1 is the proportionality factor in the rate law of chemical kinetics at Temperature 1.
Reaction 1 Temperature - (Measured in Kelvin) - The reaction 1 temperature is the temperature at which reaction 1 occurs.
Reaction 2 Temperature - (Measured in Kelvin) - The reaction 2 temperature is the temperature at which reaction 2 occurs.

STEP 1: Convert Input(s) to Base Unit

Rate Constant at Temperature 2: 26.2 1 Per Second --> 26.2 1 Per Second No Conversion Required
Rate Constant at Temperature 1: 21 1 Per Second --> 21 1 Per Second No Conversion Required
Reaction 1 Temperature: 30 Kelvin --> 30 Kelvin No Conversion Required
Reaction 2 Temperature: 40 Kelvin --> 40 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_a2 = [R]*ln(K₂/K₁)*T₁*T₂/(T₂-T₁) --> [R]*ln(26.2/21)*30*40/(40-30)

Evaluating ... ...

E_a2 = 220.735985054955

STEP 3: Convert Result to Output's Unit

220.735985054955 Joule Per Mole --> No Conversion Required

FINAL ANSWER

220.735985054955 ≈ 220.736 Joule Per Mole <-- Activation Energy Rate Constant

(Calculation completed in 00.004 seconds)

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< 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)

Activation Energy using Rate Constant at Two Different Temperatures Formula

LaTeX Go

Where is Arrhenius equation used?

The Arrhenius equation can be used to determine the effect of a change of temperature on the rate constant, and consequently on the rate of the reaction. If the rate constant doubles, for example, so does the rate of the reaction.

How to Calculate Activation Energy using Rate Constant at Two Different Temperatures?

Activation Energy using Rate Constant at Two Different Temperatures calculator uses 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) to calculate the Activation Energy Rate Constant, The Activation Energy using Rate Constant at Two Different Temperatures formula is defined as the minimum energy required to cause a same reaction to occur at two different temperatures. Activation Energy Rate Constant is denoted by E_a2 symbol.

How to calculate Activation Energy using Rate Constant at Two Different Temperatures using this online calculator? To use this online calculator for Activation Energy using Rate Constant at Two Different Temperatures, enter Rate Constant at Temperature 2 (K₂), Rate Constant at Temperature 1 (K₁), Reaction 1 Temperature (T₁) & Reaction 2 Temperature (T₂) and hit the calculate button. Here is how the Activation Energy using Rate Constant at Two Different Temperatures calculation can be explained with given input values -> 220.736 = [R]*ln(26.2/21)*30*40/(40-30).

FAQ

What is Activation Energy using Rate Constant at Two Different Temperatures?

The Activation Energy using Rate Constant at Two Different Temperatures formula is defined as the minimum energy required to cause a same reaction to occur at two different temperatures and is represented as E_a2 = [R]*ln(K₂/K₁)*T₁*T₂/(T₂-T₁) or 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). Rate Constant at Temperature 2 is the proportionality factor in the rate law of chemical kinetics at Temperature 2, Rate Constant at Temperature 1 is the proportionality factor in the rate law of chemical kinetics at Temperature 1, The reaction 1 temperature is the temperature at which reaction 1 occurs & The reaction 2 temperature is the temperature at which reaction 2 occurs.

How to calculate Activation Energy using Rate Constant at Two Different Temperatures?

The Activation Energy using Rate Constant at Two Different Temperatures formula is defined as the minimum energy required to cause a same reaction to occur at two different temperatures is calculated using 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). To calculate Activation Energy using Rate Constant at Two Different Temperatures, you need Rate Constant at Temperature 2 (K₂), Rate Constant at Temperature 1 (K₁), Reaction 1 Temperature (T₁) & Reaction 2 Temperature (T₂). With our tool, you need to enter the respective value for Rate Constant at Temperature 2, Rate Constant at Temperature 1, Reaction 1 Temperature & Reaction 2 Temperature 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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