Temperature in Arrhenius Equation for Zero Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
TempZeroOrder = modulus(Ea1/[R]*(ln(Afactor-zeroorder/k0)))
This formula uses 1 Constants, 2 Functions, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus
Variables Used
Temperature in Arrhenius Eq Zero Order Reaction - (Measured in Kelvin) - Temperature in Arrhenius Eq Zero Order Reaction is the degree or intensity of heat present in a substance or object.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Activation Energy: 197.3778 Joule Per Mole --> 197.3778 Joule Per Mole No Conversion Required
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
Rate Constant for Zero Order Reaction: 0.000603 Mole per Cubic Meter Second --> 0.000603 Mole per Cubic Meter Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TempZeroOrder = modulus(Ea1/[R]*(ln(Afactor-zeroorder/k0))) --> modulus(197.3778/[R]*(ln(0.00843/0.000603)))
Evaluating ... ...
TempZeroOrder = 62.6150586812687
STEP 3: Convert Result to Output's Unit
62.6150586812687 Kelvin --> No Conversion Required
FINAL ANSWER
62.6150586812687 62.61506 Kelvin <-- Temperature in Arrhenius Eq Zero Order Reaction
(Calculation completed in 00.004 seconds)

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Zero Order Reaction Calculators

Initial Concentration of Zero Order Reaction
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Rate Constant of Zero Order Reaction = (Initial Concentration for Zero Order Reaction-Concentration at Time t)/Reaction Time
Time for Completion of Zero Order Reaction
​ LaTeX ​ Go Time for completion = Initial Concentration for Zero Order Reaction/Rate Constant of Zero Order Reaction

Temperature Dependency from Arrhenius' Law Calculators

Rate Constant for Second Order Reaction from Arrhenius Equation
​ LaTeX ​ Go Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Rate Constant for First Order Reaction from Arrhenius Equation
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))

Basics of Reactor Design and Temperature Dependency from Arrhenius Law Calculators

Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure
​ LaTeX ​ 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
​ LaTeX ​ 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))
Initial Reactant Concentration using Reactant Conversion with Varying Density
​ LaTeX ​ Go Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
Initial Reactant Concentration using Reactant Conversion
​ LaTeX ​ Go Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)

Temperature in Arrhenius Equation for Zero Order Reaction Formula

​LaTeX ​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)))
TempZeroOrder = modulus(Ea1/[R]*(ln(Afactor-zeroorder/k0)))

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 Temperature in Arrhenius Equation for Zero Order Reaction?

Temperature in Arrhenius Equation for Zero Order Reaction calculator uses 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))) to calculate the Temperature in Arrhenius Eq Zero Order Reaction, The Temperature in Arrhenius equation for zero order reaction formula is defined as activation energy per universal gas constant and the difference of natural logarithm of frequency factor and rate constant. Temperature in Arrhenius Eq Zero Order Reaction is denoted by TempZeroOrder symbol.

How to calculate Temperature in Arrhenius Equation for Zero Order Reaction using this online calculator? To use this online calculator for Temperature in Arrhenius Equation for Zero Order Reaction, enter Activation Energy (Ea1), Frequency Factor from Arrhenius Eqn for Zero Order (Afactor-zeroorder) & Rate Constant for Zero Order Reaction (k0) and hit the calculate button. Here is how the Temperature in Arrhenius Equation for Zero Order Reaction calculation can be explained with given input values -> 62.61506 = modulus(197.3778/[R]*(ln(0.00843/0.000603))).

FAQ

What is Temperature in Arrhenius Equation for Zero Order Reaction?
The Temperature in Arrhenius equation for zero order reaction formula is defined as activation energy per universal gas constant and the difference of natural logarithm of frequency factor and rate constant and is represented as TempZeroOrder = modulus(Ea1/[R]*(ln(Afactor-zeroorder/k0))) or 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 is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation, 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 & 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.
How to calculate Temperature in Arrhenius Equation for Zero Order Reaction?
The Temperature in Arrhenius equation for zero order reaction formula is defined as activation energy per universal gas constant and the difference of natural logarithm of frequency factor and rate constant is calculated using 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))). To calculate Temperature in Arrhenius Equation for Zero Order Reaction, you need Activation Energy (Ea1), Frequency Factor from Arrhenius Eqn for Zero Order (Afactor-zeroorder) & Rate Constant for Zero Order Reaction (k0). With our tool, you need to enter the respective value for Activation Energy, Frequency Factor from Arrhenius Eqn for Zero Order & Rate Constant 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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