Rate Constant for Zero Order Reaction from Arrhenius Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
k0 = Afactor-zeroorder*exp(-Ea1/([R]*TZeroOrder))
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 for Zero Order Reaction - (Measured in Mole per Cubic Meter Second) - The Rate Constant for Zero Order Reaction is equal to the rate of the reaction because in a zero-order reaction the rate of reaction is proportional to zero power of the concentration of the reactant.
Frequency Factor from Arrhenius Eqn for Zero Order - (Measured in Mole per Cubic Meter Second) - Frequency Factor from Arrhenius Eqn for Zero Order is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation.
Activation Energy - (Measured in Joule Per Mole) - 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.
Temperature for Zero Order Reaction - (Measured in Kelvin) - Temperature for Zero Order Reaction is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Frequency Factor from Arrhenius Eqn for Zero Order: 0.00843 Mole per Cubic Meter Second --> 0.00843 Mole per Cubic Meter Second No Conversion Required
Activation Energy: 197.3778 Joule Per Mole --> 197.3778 Joule Per Mole No Conversion Required
Temperature for Zero Order Reaction: 9 Kelvin --> 9 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k0 = Afactor-zeroorder*exp(-Ea1/([R]*TZeroOrder)) --> 0.00843*exp(-197.3778/([R]*9))
Evaluating ... ...
k0 = 0.000602974597435922
STEP 3: Convert Result to Output's Unit
0.000602974597435922 Mole per Cubic Meter Second --> No Conversion Required
FINAL ANSWER
0.000602974597435922 0.000603 Mole per Cubic Meter Second <-- Rate Constant for Zero Order Reaction
(Calculation completed in 00.004 seconds)

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19 Zero Order Reaction Calculators

Rate Constant under Constant Pressure and Temperature for Zero Order Reaction
Go Rate Constant of Zero Order Reaction = (2.303/Time for completion)*log10((Initial Pressure of Reactant*(Order of the reaction-1))/((Order of the reaction*Initial Pressure of Reactant)-Pressure at Time t))
Temperature in Arrhenius Equation for Zero Order Reaction
Go Temperature in Arrhenius Eq Zero Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for Zero Order/Rate Constant for Zero Order Reaction)))
Activation Energy for Zero Order Reactions
Go Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation)-ln(Rate Constant of Zero Order Reaction))
Rate Constant for Zero Order Reaction from Arrhenius Equation
Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Arrhenius Constant for Zero Order Reaction
Go Frequency Factor from Arrhenius Eqn for Zero Order = Rate Constant for Zero Order Reaction/exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Initial Concentration of Zero Order Reaction
Go Initial Concentration for Zero Order Reaction = (Rate Constant of Zero Order Reaction*Reaction Time)+Concentration at Time t
Concentration of Time of Zero Order Reaction
Go Concentration at Time t = Initial Concentration for Zero Order Reaction-(Rate Constant of Zero Order Reaction*Reaction Time)
Rate Constant of Zero Order Reaction
Go Rate Constant of Zero Order Reaction = (Initial Concentration for Zero Order Reaction-Concentration at Time t)/Reaction Time
Reactant Concentration of Zero Order Reaction
Go Reactant Concentration = Initial Reactant Concentration-Rate Constant of Zero Order Reaction*Time in seconds
Time for Completion by Titration Method for Zero Order Reaction
Go Time for completion = (Initial Reactant Volume-Volume at Time t)/Rate Constant of Zero Order Reaction
Rate Constant by Titration Method for Zero Order Reaction
Go Rate Constant of Zero Order Reaction = (Initial Reactant Volume-Volume at Time t)/Time for completion
Quarter Life of Zero Order Reaction
Go Quarter Life of Zero Order Reaction = (3*Initial Concentration for Zero Order Reaction)/(4*Rate Constant of Zero Order Reaction)
Initial Concentration given Time for Completion at Half Time
Go Initial Concentration for Zero Order Reaction = (2*Half Life of Zero Order Reaction*Rate Constant of Zero Order Reaction)
Initial Concentration of Zero Order Reaction at Half Time
Go Initial Concentration for Zero Order Reaction = (2*Half Life of Zero Order Reaction*Rate Constant of Zero Order Reaction)
Time for Completion of Zero Order Reaction at Half Time
Go Half Life of Zero Order Reaction = Initial Concentration for Zero Order Reaction/(2*Rate Constant of Zero Order Reaction)
Rate Constant at Half Time of Zero Order Reaction
Go Rate Constant of Zero Order Reaction = Initial Concentration for Zero Order Reaction/(2*Half Life of Zero Order Reaction)
Half Life of Zero Order Reaction
Go Half Life of Zero Order Reaction = Initial Concentration for Zero Order Reaction/(2*Rate Constant of Zero Order Reaction)
Time for Completion of Zero Order Reaction
Go Time for completion = Initial Concentration for Zero Order Reaction/Rate Constant of Zero Order Reaction
Concentration of Time at Half Time for Zero Order Reaction
Go Concentration at Time t = (Initial Concentration for Zero Order Reaction/2)

11 Temperature Dependency from Arrhenius' Law Calculators

Activation Energy using Rate Constant at Two Different Temperatures
Go Activation Energy Rate Constant = [R]*ln(Rate Constant at Temperature 2/Rate Constant at Temperature 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Activation Energy using Reaction Rate at Two Different Temperatures
Go Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Temperature in Arrhenius Equation for First Order Reaction
Go Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction)))
Temperature in Arrhenius Equation for Zero Order Reaction
Go Temperature in Arrhenius Eq Zero Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for Zero Order/Rate Constant for Zero Order Reaction)))
Temperature in Arrhenius Equation for Second Order Reaction
Go Temperature in Arrhenius Eq for 2nd Order Reaction = Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 2nd Order/Rate Constant for Second Order Reaction))
Rate Constant for Second Order Reaction from Arrhenius Equation
Go Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Arrhenius Constant for Second Order Reaction
Go Frequency Factor from Arrhenius Eqn for 2nd Order = Rate Constant for Second Order Reaction/exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Rate Constant for First Order Reaction from Arrhenius Equation
Go Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Arrhenius Constant for First Order Reaction
Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Rate Constant for Zero Order Reaction from Arrhenius Equation
Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Arrhenius Constant for Zero Order Reaction
Go Frequency Factor from Arrhenius Eqn for Zero Order = Rate Constant for Zero Order Reaction/exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))

20 Basics of Reactor Design and Temperature Dependency from Arrhenius Law Calculators

Key Reactant Conversion with Varying Density,Temperature and Total Pressure
Go Key-Reactant Conversion = (1-((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))/(1+Fractional Volume Change*((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))
Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure
Go Initial Key-Reactant Concentration = Key-Reactant Concentration*((1+Fractional Volume Change*Key-Reactant Conversion)/(1-Key-Reactant Conversion))*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))
Key Reactant Concentration with Varying Density,Temperature and Total Pressure
Go Key-Reactant Concentration = Initial Key-Reactant Concentration*((1-Key-Reactant Conversion)/(1+Fractional Volume Change*Key-Reactant Conversion))*((Initial Temperature*Total Pressure)/(Temperature*Initial Total Pressure))
Activation Energy using Rate Constant at Two Different Temperatures
Go Activation Energy Rate Constant = [R]*ln(Rate Constant at Temperature 2/Rate Constant at Temperature 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Activation Energy using Reaction Rate at Two Different Temperatures
Go Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Temperature in Arrhenius Equation for First Order Reaction
Go Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction)))
Temperature in Arrhenius Equation for Zero Order Reaction
Go Temperature in Arrhenius Eq Zero Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for Zero Order/Rate Constant for Zero Order Reaction)))
Temperature in Arrhenius Equation for Second Order Reaction
Go Temperature in Arrhenius Eq for 2nd Order Reaction = Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 2nd Order/Rate Constant for Second Order Reaction))
Reactant Concentration using Reactant Conversion with Varying Density
Go Reactant Concentration with Varying Density = ((1-Reactant Conversion with Varying Density)*(Initial Reactant Concentration))/(1+Fractional Volume Change*Reactant Conversion with Varying Density)
Rate Constant for Second Order Reaction from Arrhenius Equation
Go Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Arrhenius Constant for Second Order Reaction
Go Frequency Factor from Arrhenius Eqn for 2nd Order = Rate Constant for Second Order Reaction/exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Rate Constant for First Order Reaction from Arrhenius Equation
Go Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Arrhenius Constant for First Order Reaction
Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Initial Reactant Conversion using Reactant Concentration with Varying Density
Go Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
Rate Constant for Zero Order Reaction from Arrhenius Equation
Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Arrhenius Constant for Zero Order Reaction
Go Frequency Factor from Arrhenius Eqn for Zero Order = Rate Constant for Zero Order Reaction/exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Initial Reactant Concentration using Reactant Conversion with Varying Density
Go Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
Initial Reactant Concentration using Reactant Conversion
Go Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)
Reactant Concentration using Reactant Conversion
Go Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
Go Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)

Rate Constant for Zero Order Reaction from Arrhenius Equation Formula

Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
k0 = Afactor-zeroorder*exp(-Ea1/([R]*TZeroOrder))

What is significance of Arrhenius equation?

The Arrhenius equation explains the effect of temperature on the rate constant. There is certainly the minimum amount of energy known as threshold energy which the reactant molecule must possess before it can react to produce products. Most of the molecules of the reactants, however, have much less kinetic energy than the threshold energy at room temperature, and hence, they do not react. As the temperature is increased, the energy of the reactant molecules increases and become equal to or greater than the threshold energy, which causes the occurrence of reaction.

How to Calculate Rate Constant for Zero Order Reaction from Arrhenius Equation?

Rate Constant for Zero Order Reaction from Arrhenius Equation calculator uses Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction)) to calculate the Rate Constant for Zero Order Reaction, The Rate constant for zero order reaction from Arrhenius equation formula is defined as the product of frequency factor with an empirical form of negative activation energy per universal gas constant times the temperature and the Arrhenius equation rate constant is inversely proportional to the temperature of the reaction. Rate Constant for Zero Order Reaction is denoted by k0 symbol.

How to calculate Rate Constant for Zero Order Reaction from Arrhenius Equation using this online calculator? To use this online calculator for Rate Constant for Zero Order Reaction from Arrhenius Equation, enter Frequency Factor from Arrhenius Eqn for Zero Order (Afactor-zeroorder), Activation Energy (Ea1) & Temperature for Zero Order Reaction (TZeroOrder) and hit the calculate button. Here is how the Rate Constant for Zero Order Reaction from Arrhenius Equation calculation can be explained with given input values -> 0.000603 = 0.00843*exp(-197.3778/([R]*9)).

FAQ

What is Rate Constant for Zero Order Reaction from Arrhenius Equation?
The Rate constant for zero order reaction from Arrhenius equation formula is defined as the product of frequency factor with an empirical form of negative activation energy per universal gas constant times the temperature and the Arrhenius equation rate constant is inversely proportional to the temperature of the reaction and is represented as k0 = Afactor-zeroorder*exp(-Ea1/([R]*TZeroOrder)) or Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction)). Frequency Factor from Arrhenius Eqn for Zero Order is also known as the pre-exponential factor and it describes the frequency of reaction and correct molecular orientation, 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 & Temperature for Zero Order Reaction is the degree or intensity of heat present in a substance or object.
How to calculate Rate Constant for Zero Order Reaction from Arrhenius Equation?
The Rate constant for zero order reaction from Arrhenius equation formula is defined as the product of frequency factor with an empirical form of negative activation energy per universal gas constant times the temperature and the Arrhenius equation rate constant is inversely proportional to the temperature of the reaction is calculated using Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction)). To calculate Rate Constant for Zero Order Reaction from Arrhenius Equation, you need Frequency Factor from Arrhenius Eqn for Zero Order (Afactor-zeroorder), Activation Energy (Ea1) & Temperature for Zero Order Reaction (TZeroOrder). With our tool, you need to enter the respective value for Frequency Factor from Arrhenius Eqn for Zero Order, Activation Energy & Temperature for Zero Order Reaction 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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