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Rate Constant of Reaction by Erying Equation Formula

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Rate Constant or Reaction Rate Coefficient 'k' quantifies the rate and direction of a chemical reaction. It has different units for different orders of chemical reactions. Check FAQs

k = \frac{[BoltZ] \cdot T \cdot \exp (\frac{S Activation}{[Molar-g]}) \cdot \exp (- \frac{H Activation}{[Molar-g]} \cdot T)}{[hP]}

k - Rate Constant?T - Temperature?S_Activation - Entropy of Activation?H_Activation - Enthalpy of Activation?[BoltZ] - Boltzmann constant?[Molar-g] - Molar gas constant?[Molar-g] - Molar gas constant?[hP] - Planck constant?

Rate Constant of Reaction by Erying Equation Example

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Here is how the Rate Constant of Reaction by Erying Equation equation looks like with Values.

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Here is how the Rate Constant of Reaction by Erying Equation equation looks like.

2.9E-93 = \frac{1.4E-23 \cdot 85 \cdot \exp (\frac{34}{8.3145}) \cdot \exp (- \frac{24}{8.3145} \cdot 85)}{6.6E-34}

2.9E-93s⁻¹ = \frac{1.4E-23J/K \cdot 85K \cdot \exp (\frac{34J/K*mol}{8.3145J/K*mol}) \cdot \exp (- \frac{24J/mol}{8.3145J/K*mol} \cdot 85K)}{6.6E-34}

2.9E-93 = \frac{1.4E-23 \cdot 85 \cdot \exp (\frac{34}{8.3145}) \cdot \exp (- \frac{24}{8.3145} \cdot 85)}{6.6E-34}

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Rate Constant of Reaction by Erying Equation Solution

Follow our step by step solution on how to calculate Rate Constant of Reaction by Erying Equation?

FIRST Step Consider the formula

k = \frac{[BoltZ] \cdot T \cdot \exp (\frac{S Activation}{[Molar-g]}) \cdot \exp (- \frac{H Activation}{[Molar-g]} \cdot T)}{[hP]}

Next Step Substitute values of Variables

∴

k = \frac{[BoltZ] \cdot 85K \cdot \exp (\frac{34J/K*mol}{[Molar-g]}) \cdot \exp (- \frac{24J/mol}{[Molar-g]} \cdot 85K)}{[hP]}

Next Step Substitute values of Constants

∴

k = \frac{1.4E-23J/K \cdot 85K \cdot \exp (\frac{34J/K*mol}{8.3145J/K*mol}) \cdot \exp (- \frac{24J/mol}{8.3145J/K*mol} \cdot 85K)}{6.6E-34}

Next Step Prepare to Evaluate

∴

k = \frac{1.4E-23 \cdot 85 \cdot \exp (\frac{34}{8.3145}) \cdot \exp (- \frac{24}{8.3145} \cdot 85)}{6.6E-34}

Next Step Evaluate

∴

k = 2.93815812796815E-93s⁻¹

LAST Step Rounding Answer

∴

k = 2.9E-93s⁻¹

Rate Constant of Reaction by Erying Equation Formula Elements

Variables

Constants

Functions

Rate Constant

Rate Constant or Reaction Rate Coefficient 'k' quantifies the rate and direction of a chemical reaction. It has different units for different orders of chemical reactions.

Symbol: k

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Rate Constant

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Entropy of Activation

Entropy of activation is one of the two parameters which are typically obtained from the temperature dependence of reaction rate constant using Eyring equation of transition state theory.

Symbol: S_Activation

Measurement: Molar Specific Heat Capacity at Constant VolumeUnit: J/K*mol

Note: Value can be positive or negative.

Formulas to find Entropy of Activation

Enthalpy of Activation

Enthalpy of activation is approximately equal to the activation energy; the conversion of one into the other depends on the molecularity.

Symbol: H_Activation

Measurement: Energy Per MoleUnit: J/mol

Note: Value can be positive or negative.

Formulas to find Enthalpy of Activation

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Molar gas constant

Molar gas constant is a fundamental physical constant that relates the energy of a mole of particles to the temperature of a system.

Symbol: [Molar-g]

Value: 8.3145 J/K*mol

Molar gas constant

Molar gas constant is a fundamental physical constant that relates the energy of a mole of particles to the temperature of a system.

Symbol: [Molar-g]

Value: 8.3145 J/K*mol

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

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 Transition State Theory category

Go Entropy of Activation

S Activation = ([Molar-g] \cdot \ln (A)) - [Molar-g] \cdot \frac{\ln ([Molar-g] \cdot T)}{[Avaga-no]} \cdot [hP]

Go Enthalpy of Activation

H Activation = (E a - (Δn g \cdot [Molar-g] \cdot T))

Go Enthalpy of Activation Given Slope of line

H Activation = - (m slope \cdot 2.303 \cdot [Molar-g])

Go Thermodynamic Equilibrium Constant

K = e^{\frac{ΔG}{[Molar-g] \cdot T}}

How to Evaluate Rate Constant of Reaction by Erying Equation?

Rate Constant of Reaction by Erying Equation evaluator uses Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP] to evaluate the Rate Constant, Rate Constant of Reaction by Erying Equation is defined as the rate of a reaction which is equal to the number of activated complexes decomposing to form products. Hence, it is the concentration of the high-energy complex multiplied by the frequency of it surmounting the barrier. Rate Constant is denoted by k symbol.

How to evaluate Rate Constant of Reaction by Erying Equation using this online evaluator? To use this online evaluator for Rate Constant of Reaction by Erying Equation, enter Temperature (T), Entropy of Activation (S_Activation) & Enthalpy of Activation (H_Activation) and hit the calculate button.

FAQs on Rate Constant of Reaction by Erying Equation

What is the formula to find Rate Constant of Reaction by Erying Equation?

The formula of Rate Constant of Reaction by Erying Equation is expressed as Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP]. Here is an example- 2.9E-93 = ([BoltZ]*85*exp(34/[Molar-g])*exp(-24/[Molar-g]*85))/[hP].

How to calculate Rate Constant of Reaction by Erying Equation?

With Temperature (T), Entropy of Activation (S_Activation) & Enthalpy of Activation (H_Activation) we can find Rate Constant of Reaction by Erying Equation using the formula - Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP]. This formula also uses Boltzmann constant, Molar gas constant, Molar gas constant, Planck constant and Exponential Growth (exp) function(s).

Can the Rate Constant of Reaction by Erying Equation be negative?

Yes, the Rate Constant of Reaction by Erying Equation, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant of Reaction by Erying Equation?

Rate Constant of Reaction by Erying 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 of Reaction by Erying Equation can be measured.

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Rate Constant of Reaction by Erying Equation Formula

Rate Constant of Reaction by Erying Equation Example

Rate Constant of Reaction by Erying Equation Solution

Rate Constant of Reaction by Erying Equation Formula Elements

Other formulas in Transition State Theory category

How to Evaluate Rate Constant of Reaction by Erying Equation?

FAQs on Rate Constant of Reaction by Erying Equation

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