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Rate Constant for Second Order Reaction from Arrhenius Equation Formula

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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. Check FAQs

K second = A factor-secondorder \cdot \exp (- \frac{E a1}{[R] \cdot T SecondOrder})

K_second - Rate Constant for Second Order Reaction?A_{factor-secondorder} - Frequency Factor from Arrhenius Eqn for 2nd Order?E_a1 - Activation Energy?T_SecondOrder - Temperature for Second Order Reaction?[R] - Universal gas constant?

Rate Constant for Second Order Reaction from Arrhenius Equation Example

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Here is how the Rate Constant for Second Order Reaction from Arrhenius Equation equation looks like with Values.

Here is how the Rate Constant for Second Order Reaction from Arrhenius Equation equation looks like with Units.

Here is how the Rate Constant for Second Order Reaction from Arrhenius Equation equation looks like.

0.51 = 0.6743 \cdot \exp (- \frac{197.3778}{8.3145 \cdot 84.9999})

0.51L/(mol*s) = 0.6743L/(mol*s) \cdot \exp (- \frac{197.3778J/mol}{8.3145 \cdot 84.9999K})

0.51 = 0.6743 \cdot \exp (- \frac{197.3778}{8.3145 \cdot 84.9999})

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Rate Constant for Second Order Reaction from Arrhenius Equation Solution

Follow our step by step solution on how to calculate Rate Constant for Second Order Reaction from Arrhenius Equation?

FIRST Step Consider the formula

K second = A factor-secondorder \cdot \exp (- \frac{E a1}{[R] \cdot T SecondOrder})

Next Step Substitute values of Variables

∴

K second = 0.6743L/(mol*s) \cdot \exp (- \frac{197.3778J/mol}{[R] \cdot 84.9999K})

Next Step Substitute values of Constants

∴

K second = 0.6743L/(mol*s) \cdot \exp (- \frac{197.3778J/mol}{8.3145 \cdot 84.9999K})

Next Step Convert Units

∴

K second = 0.0007m³/(mol*s) \cdot \exp (- \frac{197.3778J/mol}{8.3145 \cdot 84.9999K})

Next Step Prepare to Evaluate

∴

K second = 0.0007 \cdot \exp (- \frac{197.3778}{8.3145 \cdot 84.9999})

Next Step Evaluate

∴

K second = 0.000509999996901272m³/(mol*s)

Next Step Convert to Output's Unit

∴

K second = 0.509999996901273L/(mol*s)

LAST Step Rounding Answer

∴

K second = 0.51L/(mol*s)

Rate Constant for Second Order Reaction from Arrhenius Equation Formula Elements

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Functions

Rate Constant for Second Order Reaction

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.

Symbol: K_second

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

Note: Value can be positive or negative.

Formulas to find Rate Constant for Second Order Reaction

Frequency Factor from Arrhenius Eqn for 2nd Order

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.

Symbol: A_{factor-secondorder}

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

Note: Value can be positive or negative.

Formulas to find Frequency Factor from Arrhenius Eqn for 2nd Order

Activation Energy

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.

Symbol: E_a1

Measurement: Energy Per MoleUnit: J/mol

Note: Value can be positive or negative.

Formulas to find Activation Energy

Temperature for Second Order Reaction

Temperature for Second Order Reaction is the degree or intensity of heat present in a substance or object.

Symbol: T_SecondOrder

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature for Second 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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Second Order Reaction 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 Rate Constant for Second Order Reaction from Arrhenius Equation?

Rate Constant for Second Order Reaction from Arrhenius Equation evaluator uses Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction)) to evaluate the Rate Constant for Second Order Reaction, The Rate constant for second order reaction from Arrhenius equation formula is defined as frequency factor times the exponential form of negative activation energy per universal gas constant and temperature. The rate constant of second order reaction is inversely proportional to the temperature of the reaction. Rate Constant for Second Order Reaction is denoted by K_second symbol.

How to evaluate Rate Constant for Second Order Reaction from Arrhenius Equation using this online evaluator? To use this online evaluator for Rate Constant for Second Order Reaction from Arrhenius Equation, enter Frequency Factor from Arrhenius Eqn for 2nd Order (A_{factor-secondorder}), Activation Energy (E_a1) & Temperature for Second Order Reaction (T_SecondOrder) and hit the calculate button.

FAQs on Rate Constant for Second Order Reaction from Arrhenius Equation

What is the formula to find Rate Constant for Second Order Reaction from Arrhenius Equation?

The formula of Rate Constant for Second Order Reaction from Arrhenius Equation is expressed as Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction)). Here is an example- 510 = 0.000674313*exp(-197.3778/([R]*84.99993)).

How to calculate Rate Constant for Second Order Reaction from Arrhenius Equation?

With Frequency Factor from Arrhenius Eqn for 2nd Order (A_{factor-secondorder}), Activation Energy (E_a1) & Temperature for Second Order Reaction (T_SecondOrder) we can find Rate Constant for Second Order Reaction from Arrhenius Equation using the formula - Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction)). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).

Can the Rate Constant for Second Order Reaction from Arrhenius Equation be negative?

Yes, the Rate Constant for Second Order Reaction from Arrhenius Equation, measured in Second Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant for Second Order Reaction from Arrhenius Equation?

Rate Constant for Second Order Reaction from Arrhenius Equation is usually measured using the Liter per Mole Second[L/(mol*s)] for Second Order Reaction Rate Constant. Cubic Meter per Mole Second[L/(mol*s)], Cubic Meter per Kilomole Millisecond[L/(mol*s)], Liter per Mole Millisecond[L/(mol*s)] are the few other units in which Rate Constant for Second Order Reaction from Arrhenius Equation can be measured.

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Rate Constant for Second Order Reaction from Arrhenius Equation Formula

Rate Constant for Second Order Reaction from Arrhenius Equation Example

Rate Constant for Second Order Reaction from Arrhenius Equation Solution

Rate Constant for Second Order Reaction from Arrhenius Equation Formula Elements

Other formulas in Second Order Reaction category

How to Evaluate Rate Constant for Second Order Reaction from Arrhenius Equation?

FAQs on Rate Constant for Second Order Reaction from Arrhenius Equation

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