Activation Energy using Reaction Rate at Two Different Temperatures Calculator

✖Reaction Rate 2 is the rate at which a reaction occurs to achieve the desired product at temperature 2.ⓘ Reaction Rate 2 [r₂]			+10% -10%
✖Reaction Rate 1 is the rate at which a reaction occurs to achieve the desired product at temperature 1.ⓘ Reaction Rate 1 [r₁]			+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 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 Reaction Rate at Two Different Temperatures [E_a1]

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Activation Energy using Reaction Rate at Two Different Temperatures Solution

STEP 0: Pre-Calculation Summary

Formula Used

Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
E_a1 = [R]*ln(r₂/r₁)*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 - (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.
Reaction Rate 2 - (Measured in Mole per Cubic Meter Second) - Reaction Rate 2 is the rate at which a reaction occurs to achieve the desired product at temperature 2.
Reaction Rate 1 - (Measured in Mole per Cubic Meter Second) - Reaction Rate 1 is the rate at which a reaction occurs to achieve the desired product 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

Reaction Rate 2: 19.5 Mole per Cubic Meter Second --> 19.5 Mole per Cubic Meter Second No Conversion Required
Reaction Rate 1: 16 Mole per Cubic Meter Second --> 16 Mole per Cubic Meter 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_a1 = [R]*ln(r₂/r₁)*T₁*T₂/(T₂-T₁) --> [R]*ln(19.5/16)*30*40/(40-30)

Evaluating ... ...

E_a1 = 197.377769739

STEP 3: Convert Result to Output's Unit

197.377769739 Joule Per Mole --> No Conversion Required

FINAL ANSWER

197.377769739 ≈ 197.3778 Joule Per Mole <-- Activation Energy

(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 Reaction Rate 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 Reaction Rate at Two Different Temperatures?

Activation Energy using Reaction Rate at Two Different Temperatures calculator uses Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature) to calculate the Activation Energy, The Activation Energy using Reaction Rate at Two Different Temperatures formula is defined as the minimum energy required to cause a same reaction to occur at two different temperatures by considering their respective reaction rates. Activation Energy is denoted by E_a1 symbol.

How to calculate Activation Energy using Reaction Rate at Two Different Temperatures using this online calculator? To use this online calculator for Activation Energy using Reaction Rate at Two Different Temperatures, enter Reaction Rate 2 (r₂), Reaction Rate 1 (r₁), Reaction 1 Temperature (T₁) & Reaction 2 Temperature (T₂) and hit the calculate button. Here is how the Activation Energy using Reaction Rate at Two Different Temperatures calculation can be explained with given input values -> 197.3778 = [R]*ln(19.5/16)*30*40/(40-30).

FAQ

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

The Activation Energy using Reaction Rate at Two Different Temperatures formula is defined as the minimum energy required to cause a same reaction to occur at two different temperatures by considering their respective reaction rates and is represented as E_a1 = [R]*ln(r₂/r₁)*T₁*T₂/(T₂-T₁) or Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature). Reaction Rate 2 is the rate at which a reaction occurs to achieve the desired product at temperature 2, Reaction Rate 1 is the rate at which a reaction occurs to achieve the desired product 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 Reaction Rate at Two Different Temperatures?

The Activation Energy using Reaction Rate at Two Different Temperatures formula is defined as the minimum energy required to cause a same reaction to occur at two different temperatures by considering their respective reaction rates is calculated using Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature). To calculate Activation Energy using Reaction Rate at Two Different Temperatures, you need Reaction Rate 2 (r₂), Reaction Rate 1 (r₁), Reaction 1 Temperature (T₁) & Reaction 2 Temperature (T₂). With our tool, you need to enter the respective value for Reaction Rate 2, Reaction Rate 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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