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Activation Energy for First Order Reaction Formula

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The Energy of Activation is the minimum amount of energy that is required to activate atoms or molecules. Check FAQs

E a = [R] \cdot T gas \cdot (\ln (\frac{A}{k first}))

E_a - Energy of Activation?T_gas - Temperature of Gas?A - Frequency Factor from Arrhenius Equation?k_first - Rate Constant for First Order Reaction?[R] - Universal gas constant?

Activation Energy for First Order Reaction Example

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Here is how the Activation Energy for First Order Reaction equation looks like with Values.

Here is how the Activation Energy for First Order Reaction equation looks like with Units.

Here is how the Activation Energy for First Order Reaction equation looks like.

44201.6216 = 8.3145 \cdot 273 \cdot (\ln (\frac{1.5E+11}{0.52}))

44201.6216J/mol = 8.3145 \cdot 273K \cdot (\ln (\frac{1.5E+11L/(mol*s)}{0.52s⁻¹}))

44201.6216 = 8.3145 \cdot 273 \cdot (\ln (\frac{1.5E+11}{0.52}))

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Activation Energy for First Order Reaction Solution

Follow our step by step solution on how to calculate Activation Energy for First Order Reaction?

FIRST Step Consider the formula

E a = [R] \cdot T gas \cdot (\ln (\frac{A}{k first}))

Next Step Substitute values of Variables

∴

E a = [R] \cdot 273K \cdot (\ln (\frac{1.5E+11L/(mol*s)}{0.52s⁻¹}))

Next Step Substitute values of Constants

∴

E a = 8.3145 \cdot 273K \cdot (\ln (\frac{1.5E+11L/(mol*s)}{0.52s⁻¹}))

Next Step Convert Units

∴

E a = 8.3145 \cdot 273K \cdot (\ln (\frac{1.5E+8m³/(mol*s)}{0.52s⁻¹}))

Next Step Prepare to Evaluate

∴

E a = 8.3145 \cdot 273 \cdot (\ln (\frac{1.5E+8}{0.52}))

Next Step Evaluate

∴

E a = 44201.6215826265J/mol

LAST Step Rounding Answer

∴

E a = 44201.6216J/mol

Activation Energy for First Order Reaction Formula Elements

Variables

Constants

Functions

Energy of Activation

The Energy of Activation is the minimum amount of energy that is required to activate atoms or molecules.

Symbol: E_a

Measurement: Energy Per MoleUnit: J/mol

Note: Value can be positive or negative.

Formulas to find Energy of Activation

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_gas

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Frequency Factor from Arrhenius Equation

The Frequency Factor from Arrhenius Equation is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation.

Symbol: A

Measurement: Second Order Reaction Rate ConstantUnit: L/(mol*s)

Note: Value can be positive or negative.

Formulas to find Frequency Factor from Arrhenius Equation

Rate Constant for First Order Reaction

The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

Symbol: k_first

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Rate Constant for First Order Reaction

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 First Order Reaction category

Go Time for Completion of First Order Reaction

t completion = \frac{2.303}{k first} \cdot \log 10 (\frac{C AO}{ax})

Go Rate Constant of First Order Reaction using Logarithm to base 10

k first = \frac{2.303}{t completion} \cdot \log 10 (\frac{A 0}{C t})

Go Time for Completion for First Order given Rate Constant and Initial Concentration

t completion = \frac{2.303}{k first} \cdot \log 10 (\frac{A 0}{C t})

Go Half Time Completion of First Order Reaction

t 1/2 = \frac{0.693}{k first}

How to Evaluate Activation Energy for First Order Reaction?

Activation Energy for First Order Reaction evaluator uses Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction)) to evaluate the Energy of Activation, The Activation energy for first order reaction formula is defined as the multiplication of universal gas constant with temperature and with the ratio of the natural logarithm of frequency factor to the rate constant. The minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation. Energy of Activation is denoted by E_a symbol.

How to evaluate Activation Energy for First Order Reaction using this online evaluator? To use this online evaluator for Activation Energy for First Order Reaction, enter Temperature of Gas (T_gas), Frequency Factor from Arrhenius Equation (A) & Rate Constant for First Order Reaction (k_first) and hit the calculate button.

FAQs on Activation Energy for First Order Reaction

What is the formula to find Activation Energy for First Order Reaction?

The formula of Activation Energy for First Order Reaction is expressed as Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction)). Here is an example- 44201.63 = [R]*273*(ln(149000000/0.520001)).

How to calculate Activation Energy for First Order Reaction?

With Temperature of Gas (T_gas), Frequency Factor from Arrhenius Equation (A) & Rate Constant for First Order Reaction (k_first) we can find Activation Energy for First Order Reaction using the formula - Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction)). This formula also uses Universal gas constant and Natural Logarithm (ln) function(s).

Can the Activation Energy for First Order Reaction be negative?

Yes, the Activation Energy for First Order Reaction, measured in Energy Per Mole can be negative.

Which unit is used to measure Activation Energy for First Order Reaction?

Activation Energy for First Order Reaction 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 for First Order Reaction can be measured.

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Activation Energy for First Order Reaction Formula

Activation Energy for First Order Reaction Example

Activation Energy for First Order Reaction Solution

Activation Energy for First Order Reaction Formula Elements

Other formulas in First Order Reaction category

How to Evaluate Activation Energy for First Order Reaction?

FAQs on Activation Energy for First Order Reaction

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