Rate Constant of Reaction by Erying Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP]
k = ([BoltZ]*T*exp(Δ++S°/[Molar-g])*exp(-Δ++H°/[Molar-g]*T))/[hP]
This formula uses 4 Constants, 1 Functions, 4 Variables
Constants Used
[Molar-g] - Molar gas constant Value Taken As 8.3145 Joule/Kelvin Mole
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23 Joule/Kelvin
[hP] - Planck constant Value Taken As 6.626070040E-34 Kilogram Meter² / Second
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, exp(Number)
Variables Used
Rate Constant - (Measured in 1 Per Second) - 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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Entropy of Activation - (Measured in Joule Per Kelvin Per Mole) - 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.
Enthalpy of Activation - (Measured in Joule Per Mole) - Enthalpy of activation is approximately equal to the activation energy; the conversion of one into the other depends on the molecularity.
STEP 1: Convert Input(s) to Base Unit
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Entropy of Activation: 34 Joule Per Kelvin Per Mole --> 34 Joule Per Kelvin Per Mole No Conversion Required
Enthalpy of Activation: 24 Joule Per Mole --> 24 Joule Per Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = ([BoltZ]*T*exp(Δ++S°/[Molar-g])*exp(-Δ++H°/[Molar-g]*T))/[hP] --> ([BoltZ]*85*exp(34/[Molar-g])*exp(-24/[Molar-g]*85))/[hP]
Evaluating ... ...
k = 2.93815812796815E-93
STEP 3: Convert Result to Output's Unit
2.93815812796815E-93 1 Per Second --> No Conversion Required
FINAL ANSWER
2.93815812796815E-93 1 Per Second <-- Rate Constant
(Calculation completed in 00.016 seconds)

Credits

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5 Transition State Theory Calculators

Rate Constant of Reaction by Erying Equation
Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP] Go
Entropy of Activation
Entropy of Activation = ([Molar-g]*ln(Pre-Exponential Factor))-[Molar-g]*ln([Molar-g]*Temperature)/[Avaga-no]*[hP] Go
Enthalpy of Activation
Enthalpy of Activation = (Activation Energy-(Change in No of Moles of Gas from Rct to AC*[Molar-g]*Temperature)) Go
Thermodynamic Equilibrium Constant
Thermodynamic Equillibrium Constant = e^(Change in Free Energy/([Molar-g]*Temperature)) Go
Enthalpy of Activation Given Slope of line
Enthalpy of Activation = -(Slope of Line B/w Ln K and 1/T*2.303*[Molar-g]) Go

Rate Constant of Reaction by Erying Equation Formula

Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP]
k = ([BoltZ]*T*exp(Δ++S°/[Molar-g])*exp(-Δ++H°/[Molar-g]*T))/[hP]

What is Transition State Theory ?

Transition state theory (TST) explains the reaction rates of elementary chemical reactions. The theory assumes a special type of chemical equilibrium (quasi-equilibrium) between reactants and activated transition state complexes.

How to Calculate Rate Constant of Reaction by Erying Equation?

Rate Constant of Reaction by Erying Equation calculator uses Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP] to calculate 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 calculate Rate Constant of Reaction by Erying Equation using this online calculator? To use this online calculator for Rate Constant of Reaction by Erying Equation, enter Temperature (T), Entropy of Activation ++S°) & Enthalpy of Activation ++H°) and hit the calculate button. Here is how the Rate Constant of Reaction by Erying Equation calculation can be explained with given input values -> 2.938E-93 = ([BoltZ]*85*exp(34/[Molar-g])*exp(-24/[Molar-g]*85))/[hP].

FAQ

What is Rate Constant of Reaction by Erying Equation?
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 and is represented as k = ([BoltZ]*T*exp(Δ++S°/[Molar-g])*exp(-Δ++H°/[Molar-g]*T))/[hP] or Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP]. Temperature is the degree or intensity of heat present in a substance or object, 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 & Enthalpy of activation is approximately equal to the activation energy; the conversion of one into the other depends on the molecularity.
How to calculate Rate Constant of Reaction by Erying Equation?
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 is calculated using Rate Constant = ([BoltZ]*Temperature*exp(Entropy of Activation/[Molar-g])*exp(-Enthalpy of Activation/[Molar-g]*Temperature))/[hP]. To calculate Rate Constant of Reaction by Erying Equation, you need Temperature (T), Entropy of Activation ++S°) & Enthalpy of Activation ++H°). With our tool, you need to enter the respective value for Temperature, Entropy of Activation & Enthalpy of Activation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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