Temperature Coefficient using Activation Energy Calculator

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Temperature Coefficient

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✖Enthalpy of activation is approximately equal to the activation energy; the conversion of one into the other depends on the molecularity.ⓘ Enthalpy of Activation [H_Activation]			+10% -10%
✖Temperature 1 is defined as lower temperature at which chemical reaction proceed.ⓘ Temperature 1 [T₁]			+10% -10%
✖Temperature 2 is the higher temperature at which reaction proceeds in chemical kinetics.ⓘ Temperature 2 [T₂]			+10% -10%

✖Temperature Coefficient is the ratio of rate constants of the reaction at two temperatures differing by ten degree.ⓘ Temperature Coefficient using Activation Energy [Φ]

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Formula

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Temperature Coefficient using Activation Energy

Formula

`"Φ" = e^("H"_{"Activation"}*((1/"T"_{"1"})-(1/"T"_{"2"})))`

Example

`"1.015355"=e^("24J/mol"*((1/"350K")-(1/"450K")))`

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Temperature Coefficient using Activation Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature Coefficient = e^(Enthalpy of Activation*((1/Temperature 1)-(1/Temperature 2)))
Φ = e^(H_Activation*((1/T₁)-(1/T₂)))
This formula uses 1 Constants, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Temperature Coefficient - Temperature Coefficient is the ratio of rate constants of the reaction at two temperatures differing by ten degree.
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.
Temperature 1 - (Measured in Kelvin) - Temperature 1 is defined as lower temperature at which chemical reaction proceed.
Temperature 2 - (Measured in Kelvin) - Temperature 2 is the higher temperature at which reaction proceeds in chemical kinetics.

STEP 1: Convert Input(s) to Base Unit

Enthalpy of Activation: 24 Joule Per Mole --> 24 Joule Per Mole No Conversion Required
Temperature 1: 350 Kelvin --> 350 Kelvin No Conversion Required
Temperature 2: 450 Kelvin --> 450 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = e^(H_Activation*((1/T₁)-(1/T₂))) --> e^(24*((1/350)-(1/450)))

Evaluating ... ...

Φ = 1.01535478697786

STEP 3: Convert Result to Output's Unit

1.01535478697786 --> No Conversion Required

FINAL ANSWER

1.01535478697786 ≈ 1.015355 <-- Temperature Coefficient

(Calculation completed in 00.020 seconds)

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< 6 Temperature Coefficient Calculators

Rate Constant at Temperature 2

Go Rate Constant at Temperature 2 = ((Rate Constant at Temperature 1)*(Temperature Coefficient)^((Temperature 2-Temperature 1)/10))

Temperature Coefficient using Activation Energy

Go Temperature Coefficient = e^(Enthalpy of Activation*((1/Temperature 1)-(1/Temperature 2)))

Fraction of Total No. of Molecules Undergoing Chemical Reaction

Go Fraction of Total No. of Effective Collision = (Rate Constant/Pre-Exponential Factor)

Temperature Coefficient using Rate Constant

Go Temperature Coefficient = Rate Constant at (T+10)°C/Rate Constant at T° C

Activation Energy given Slope of Line between Log K and Temp Inverse

Go Activation Energy = -2.303*[R]*Slope of Line Between Log K and 1/T

Activation Energy given Slope of Line between LnK and Temperature Inverse

Go Activation Energy = -(Slope of Line B/w Ln K and 1/T*[R])

Temperature Coefficient using Activation Energy Formula

Temperature Coefficient = e^(Enthalpy of Activation*((1/Temperature 1)-(1/Temperature 2)))
Φ = e^(H_Activation*((1/T₁)-(1/T₂)))

What is Activation Energy ?

Activation energy is the minimum amount of energy that must be provided for compounds to result in a chemical reaction. Activation energy can be thought of as the magnitude of the potential barrier (sometimes called the energy barrier) separating minima of the potential energy surface pertaining to the initial and final thermodynamic state.

How to Calculate Temperature Coefficient using Activation Energy?

Temperature Coefficient using Activation Energy calculator uses Temperature Coefficient = e^(Enthalpy of Activation*((1/Temperature 1)-(1/Temperature 2))) to calculate the Temperature Coefficient, The Temperature Coefficient using Activation Energy formula is defined as a coefficient expressing the relation between a change in a physical property and the change in temperature that causes it. Temperature Coefficient is denoted by Φ symbol.

How to calculate Temperature Coefficient using Activation Energy using this online calculator? To use this online calculator for Temperature Coefficient using Activation Energy, enter Enthalpy of Activation (H_Activation), Temperature 1 (T₁) & Temperature 2 (T₂) and hit the calculate button. Here is how the Temperature Coefficient using Activation Energy calculation can be explained with given input values -> 1.015355 = e^(24*((1/350)-(1/450))).

FAQ

What is Temperature Coefficient using Activation Energy?

The Temperature Coefficient using Activation Energy formula is defined as a coefficient expressing the relation between a change in a physical property and the change in temperature that causes it and is represented as Φ = e^(H_Activation*((1/T₁)-(1/T₂))) or Temperature Coefficient = e^(Enthalpy of Activation*((1/Temperature 1)-(1/Temperature 2))). Enthalpy of activation is approximately equal to the activation energy; the conversion of one into the other depends on the molecularity, Temperature 1 is defined as lower temperature at which chemical reaction proceed & Temperature 2 is the higher temperature at which reaction proceeds in chemical kinetics.

How to calculate Temperature Coefficient using Activation Energy?

The Temperature Coefficient using Activation Energy formula is defined as a coefficient expressing the relation between a change in a physical property and the change in temperature that causes it is calculated using Temperature Coefficient = e^(Enthalpy of Activation*((1/Temperature 1)-(1/Temperature 2))). To calculate Temperature Coefficient using Activation Energy, you need Enthalpy of Activation (H_Activation), Temperature 1 (T₁) & Temperature 2 (T₂). With our tool, you need to enter the respective value for Enthalpy of Activation, Temperature 1 & Temperature 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Temperature Coefficient?

In this formula, Temperature Coefficient uses Enthalpy of Activation, Temperature 1 & Temperature 2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Temperature Coefficient = Rate Constant at (T+10)°C/Rate Constant at T° C

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