Arrhenius Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature))))
Kh = A*(exp(-(Ea/([R]*Tabs))))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Rate Constant - (Measured in Hertz) - Rate Constant is the coefficient of proportionality relating the rate of a chemical reaction at a given temperature to the concentration of reactant or product.
Pre-Exponential Factor - (Measured in 1 per Second) - The Pre-Exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient.
Activation Energy - (Measured in Joule) - 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 or physical transport.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.
STEP 1: Convert Input(s) to Base Unit
Pre-Exponential Factor: 15 1 per Second --> 15 1 per Second No Conversion Required
Activation Energy: 20 Electron-Volt --> 3.20435466000001E-18 Joule (Check conversion here)
Absolute Temperature: 273.15 Kelvin --> 273.15 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kh = A*(exp(-(Ea/([R]*Tabs)))) --> 15*(exp(-(3.20435466000001E-18/([R]*273.15))))
Evaluating ... ...
Kh = 15
STEP 3: Convert Result to Output's Unit
15 Hertz --> No Conversion Required
FINAL ANSWER
15 Hertz <-- Rate Constant
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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College Of Engineering (COEP), Pune
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20 Arrhenius Equation Calculators

Pre-Exponential Factor for Backward Reaction using Arrhenius equation
Go Backward Pre-exponential factor = ((Forward Pre-exponential Factor*Backward Reaction Rate Constant)/Forward reaction rate constant)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))
Pre-Exponential Factor for Forward Reaction using Arrhenius Equation
Go Forward Pre-exponential Factor = (Forward reaction rate constant*Backward Pre-exponential factor)/(Backward Reaction Rate Constant*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)))
Backward Reaction Rate Constant using Arrhenius Equation
Go Backward Reaction Rate Constant = (Forward reaction rate constant*Backward Pre-exponential factor)/(Forward Pre-exponential Factor*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)))
Forward Reaction Rate Constant using Arrhenius Equation
Go Forward reaction rate constant = ((Forward Pre-exponential Factor*Backward Reaction Rate Constant)/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))
Enthalpy of Chemical Reaction at Absolute Temperatures
Go Enthalpy of Reaction = log10(Equilibrium constant 2/Equilibrium constant 1)*(2.303*[R])*((Absolute Temperature*Absolute temperature 2)/(Absolute temperature 2-Absolute Temperature))
Enthalpy of Chemical Reaction using Equilibrium Constants
Go Enthalpy of Reaction = -(log10(Equilibrium constant 2/Equilibrium constant 1)*[R]*((Absolute Temperature*Absolute temperature 2)/(Absolute Temperature-Absolute temperature 2)))
Equilibrium Constant at Temperature T2
Go Equilibrium constant 2 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute temperature 2))
Equilibrium Constant at Temperature T1
Go Equilibrium constant 1 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))
Equilibrium Constant using Arrhenius Equation
Go Equilibrium Constant = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))
Equilibrium Constant 2 using Activation Energy of Reaction
Go Equilibrium constant 2 = Equilibrium constant 1*exp(((Activation Energy Backward-Activation Energy Forward)/[R])*((1/Absolute temperature 2)-(1/Absolute Temperature)))
Equilibrium Constant 2 using Enthalpy of Reaction
Go Equilibrium constant 2 = Equilibrium constant 1*exp((-(Enthalpy of Reaction/[R]))*((1/Absolute temperature 2)-(1/Absolute Temperature)))
Pre-exponential Factor in Arrhenius Equation for Backward Reaction
Go Backward Pre-exponential factor = Backward Reaction Rate Constant/exp(-(Activation Energy Backward/([R]*Absolute Temperature)))
Arrhenius Equation for Backward Equation
Go Backward Reaction Rate Constant = Backward Pre-exponential factor*exp(-(Activation Energy Backward/([R]*Absolute Temperature)))
Pre-exponential Factor in Arrhenius Equation for Forward Reaction
Go Forward Pre-exponential Factor = Forward reaction rate constant/exp(-(Activation Energy Forward/([R]*Absolute Temperature)))
Arrhenius Equation for Forward Reaction
Go Forward reaction rate constant = Forward Pre-exponential Factor*exp(-(Activation Energy Forward/([R]*Absolute Temperature)))
Arrhenius Equation
Go Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature))))
Pre-exponential Factor in Arrhenius Equation
Go Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature)))
Activation Energy for Backward Reaction
Go Activation Energy Backward = Activation Energy Forward-Enthalpy of Reaction
Activation Energy for Forward Reaction
Go Activation Energy Forward = Enthalpy of Reaction+Activation Energy Backward
Enthalpy of Chemical Reaction
Go Enthalpy of Reaction = Activation Energy Forward-Activation Energy Backward

Arrhenius Equation Formula

Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature))))
Kh = A*(exp(-(Ea/([R]*Tabs))))

What is Arrhenius Equation?

The Arrhenius equation is a formula for the temperature dependence of reaction rates. The equation was proposed by Svante Arrhenius in 1889, based on the work of Dutch chemist Jacobus Henricus van 't Hoff who had noted in 1884 that the van 't Hoff equation for the temperature dependence of equilibrium constants suggests such a formula for the rates of both forward and reverse reactions. This equation has a vast and important application in determining rate of chemical reactions and for calculation of energy of activation.

How to Calculate Arrhenius Equation?

Arrhenius Equation calculator uses Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))) to calculate the Rate Constant, The Arrhenius equation formula represents the fraction of collisions that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea) at temperature T. Rate Constant is denoted by Kh symbol.

How to calculate Arrhenius Equation using this online calculator? To use this online calculator for Arrhenius Equation, enter Pre-Exponential Factor (A), Activation Energy (Ea) & Absolute Temperature (Tabs) and hit the calculate button. Here is how the Arrhenius Equation calculation can be explained with given input values -> 15 = 15*(exp(-(3.20435466000001E-18/([R]*273.15)))).

FAQ

What is Arrhenius Equation?
The Arrhenius equation formula represents the fraction of collisions that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea) at temperature T and is represented as Kh = A*(exp(-(Ea/([R]*Tabs)))) or Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))). The Pre-Exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient, 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 or physical transport & Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.
How to calculate Arrhenius Equation?
The Arrhenius equation formula represents the fraction of collisions that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea) at temperature T is calculated using Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))). To calculate Arrhenius Equation, you need Pre-Exponential Factor (A), Activation Energy (Ea) & Absolute Temperature (Tabs). With our tool, you need to enter the respective value for Pre-Exponential Factor, Activation Energy & Absolute Temperature 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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