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Rate Constant for First Order Reaction from Arrhenius Equation Formula

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

k first = A factor-firstorder \cdot \exp (- \frac{E a1}{[R] \cdot T FirstOrder})

k_first - Rate Constant for First Order Reaction?A_{factor-firstorder} - Frequency Factor from Arrhenius Eqn for 1st Order?E_a1 - Activation Energy?T_FirstOrder - Temperature for First Order Reaction?[R] - Universal gas constant?

Rate Constant for First Order Reaction from Arrhenius Equation Example

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

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

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

0.52 = 0.6875 \cdot \exp (- \frac{197.3778}{8.3145 \cdot 85.0004})

0.52s⁻¹ = 0.6875s⁻¹ \cdot \exp (- \frac{197.3778J/mol}{8.3145 \cdot 85.0004K})

0.52 = 0.6875 \cdot \exp (- \frac{197.3778}{8.3145 \cdot 85.0004})

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Rate Constant for First Order Reaction from Arrhenius Equation Solution

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

FIRST Step Consider the formula

k first = A factor-firstorder \cdot \exp (- \frac{E a1}{[R] \cdot T FirstOrder})

Next Step Substitute values of Variables

∴

k first = 0.6875s⁻¹ \cdot \exp (- \frac{197.3778J/mol}{[R] \cdot 85.0004K})

Next Step Substitute values of Constants

∴

k first = 0.6875s⁻¹ \cdot \exp (- \frac{197.3778J/mol}{8.3145 \cdot 85.0004K})

Next Step Prepare to Evaluate

∴

k first = 0.6875 \cdot \exp (- \frac{197.3778}{8.3145 \cdot 85.0004})

Next Step Evaluate

∴

k first = 0.520001018756622s⁻¹

LAST Step Rounding Answer

∴

k first = 0.52s⁻¹

Rate Constant for First Order Reaction from Arrhenius Equation Formula Elements

Variables

Constants

Functions

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

Frequency Factor from Arrhenius Eqn for 1st Order

Frequency Factor from Arrhenius Eqn for 1st Order is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation.

Symbol: A_{factor-firstorder}

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Frequency Factor from Arrhenius Eqn for 1st 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 First Order Reaction

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

Symbol: T_FirstOrder

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature 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

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 First 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 First Order Reaction from Arrhenius Equation?

Rate Constant for First Order Reaction from Arrhenius Equation evaluator uses Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction)) to evaluate the Rate Constant for First Order Reaction, The Rate constant for first order reaction from Arrhenius equation formula is defined as the frequency factor times the exponential of negative activation energy per universal gas constant and temperature. The rate constant of first order reaction is inversely proportional to the temperature of the reaction. As the temperature of the reaction increases the rate constant will decrease. Rate Constant for First Order Reaction is denoted by k_first symbol.

How to evaluate Rate Constant for First Order Reaction from Arrhenius Equation using this online evaluator? To use this online evaluator for Rate Constant for First Order Reaction from Arrhenius Equation, enter Frequency Factor from Arrhenius Eqn for 1st Order (A_{factor-firstorder}), Activation Energy (E_a1) & Temperature for First Order Reaction (T_FirstOrder) and hit the calculate button.

FAQs on Rate Constant for First Order Reaction from Arrhenius Equation

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

The formula of Rate Constant for First Order Reaction from Arrhenius Equation is expressed as Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction)). Here is an example- 0.520001 = 0.687535*exp(-197.3778/([R]*85.00045)).

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

With Frequency Factor from Arrhenius Eqn for 1st Order (A_{factor-firstorder}), Activation Energy (E_a1) & Temperature for First Order Reaction (T_FirstOrder) we can find Rate Constant for First Order Reaction from Arrhenius Equation using the formula - Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction)). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).

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

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

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

Rate Constant for First Order Reaction from Arrhenius Equation is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant for First Order Reaction from Arrhenius Equation can be measured.

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Rate Constant for First Order Reaction from Arrhenius Equation Formula

Rate Constant for First Order Reaction from Arrhenius Equation Example

Rate Constant for First Order Reaction from Arrhenius Equation Solution

Rate Constant for First Order Reaction from Arrhenius Equation Formula Elements

Other formulas in First Order Reaction category

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

FAQs on Rate Constant for First Order Reaction from Arrhenius Equation

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