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Activation Energy using Rate Constant at Two Different Temperatures Formula

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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. Check FAQs

E a2 = [R] \cdot \ln (\frac{K 2}{K 1}) \cdot T 1 \cdot \frac{T 2}{T 2 - T 1}

E_a2 - Activation Energy Rate Constant?K₂ - Rate Constant at Temperature 2?K₁ - Rate Constant at Temperature 1?T₁ - Reaction 1 Temperature?T₂ - Reaction 2 Temperature?[R] - Universal gas constant?

Activation Energy using Rate Constant at Two Different Temperatures Example

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Here is how the Activation Energy using Rate Constant at Two Different Temperatures equation looks like with Values.

Here is how the Activation Energy using Rate Constant at Two Different Temperatures equation looks like with Units.

Here is how the Activation Energy using Rate Constant at Two Different Temperatures equation looks like.

220.736 = 8.3145 \cdot \ln (\frac{26.2}{21}) \cdot 30 \cdot \frac{40}{40 - 30}

220.736J/mol = 8.3145 \cdot \ln (\frac{26.21/s}{211/s}) \cdot 30K \cdot \frac{40K}{40K - 30K}

220.736 = 8.3145 \cdot \ln (\frac{26.2}{21}) \cdot 30 \cdot \frac{40}{40 - 30}

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Activation Energy using Rate Constant at Two Different Temperatures Solution

Follow our step by step solution on how to calculate Activation Energy using Rate Constant at Two Different Temperatures?

FIRST Step Consider the formula

E a2 = [R] \cdot \ln (\frac{K 2}{K 1}) \cdot T 1 \cdot \frac{T 2}{T 2 - T 1}

Next Step Substitute values of Variables

∴

E a2 = [R] \cdot \ln (\frac{26.21/s}{211/s}) \cdot 30K \cdot \frac{40K}{40K - 30K}

Next Step Substitute values of Constants

∴

E a2 = 8.3145 \cdot \ln (\frac{26.21/s}{211/s}) \cdot 30K \cdot \frac{40K}{40K - 30K}

Next Step Prepare to Evaluate

∴

E a2 = 8.3145 \cdot \ln (\frac{26.2}{21}) \cdot 30 \cdot \frac{40}{40 - 30}

Next Step Evaluate

∴

E a2 = 220.735985054955J/mol

LAST Step Rounding Answer

∴

E a2 = 220.736J/mol

Activation Energy using Rate Constant at Two Different Temperatures Formula Elements

Variables

Constants

Functions

Activation Energy Rate Constant

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.

Symbol: E_a2

Measurement: Energy Per MoleUnit: J/mol

Note: Value can be positive or negative.

Formulas to find Activation Energy Rate Constant

Rate Constant at Temperature 2

Rate Constant at Temperature 2 is the proportionality factor in the rate law of chemical kinetics at Temperature 2.

Symbol: K₂

Measurement: Time InverseUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Rate Constant at Temperature 2

Rate Constant at Temperature 1

Rate Constant at Temperature 1 is the proportionality factor in the rate law of chemical kinetics at Temperature 1.

Symbol: K₁

Measurement: Time InverseUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Rate Constant at Temperature 1

Reaction 1 Temperature

The reaction 1 temperature is the temperature at which reaction 1 occurs.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Reaction 1 Temperature

Reaction 2 Temperature

The reaction 2 temperature is the temperature at which reaction 2 occurs.

Symbol: T₂

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Reaction 2 Temperature

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Temperature Dependency from Arrhenius' Law category

Go Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure

C key0 = C key \cdot (\frac{1 + ε \cdot X key}{1 - X key}) \cdot (\frac{T CRE \cdot π 0}{T 0 \cdot π})

Go Initial Reactant Concentration using Reactant Conversion

C o = \frac{C}{1 - X A}

Go Initial Reactant Concentration using Reactant Conversion with Varying Density

Intial Conc = \frac{(C) \cdot (1 + ε \cdot X A)}{1 - X A}

Go Key Reactant Concentration with Varying Density,Temperature and Total Pressure

C key = C key0 \cdot (\frac{1 - X key}{1 + ε \cdot X key}) \cdot (\frac{T 0 \cdot π}{T CRE \cdot π 0})

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

Activation Energy using Rate Constant at Two Different Temperatures evaluator 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 evaluate 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 evaluate Activation Energy using Rate Constant at Two Different Temperatures using this online evaluator? To use this online evaluator 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.

FAQs on Activation Energy using Rate Constant at Two Different Temperatures

What is the formula to find Activation Energy using Rate Constant at Two Different Temperatures?

The formula of Activation Energy using Rate Constant at Two Different Temperatures is expressed as 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). Here is an example- 220.736 = [R]*ln(26.2/21)*30*40/(40-30).

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

With Rate Constant at Temperature 2 (K₂), Rate Constant at Temperature 1 (K₁), Reaction 1 Temperature (T₁) & Reaction 2 Temperature (T₂) we can find Activation Energy using Rate Constant at Two Different Temperatures using the formula - 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). This formula also uses Universal gas constant and Natural Logarithm (ln) function(s).

Can the Activation Energy using Rate Constant at Two Different Temperatures be negative?

Yes, the Activation Energy using Rate Constant at Two Different Temperatures, measured in Energy Per Mole can be negative.

Which unit is used to measure Activation Energy using Rate Constant at Two Different Temperatures?

Activation Energy using Rate Constant at Two Different Temperatures is usually measured using the Joule Per Mole[J/mol] for Energy Per Mole. KiloJoule Per Mole[J/mol], Kilocalorie Per Mole[J/mol] are the few other units in which Activation Energy using Rate Constant at Two Different Temperatures can be measured.

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Activation Energy using Rate Constant at Two Different Temperatures Formula

Activation Energy using Rate Constant at Two Different Temperatures Example

Activation Energy using Rate Constant at Two Different Temperatures Solution

Activation Energy using Rate Constant at Two Different Temperatures Formula Elements

Other formulas in Temperature Dependency from Arrhenius' Law category

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

FAQs on Activation Energy using Rate Constant at Two Different Temperatures

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