Part 3: Arrhenius Kinetics and Activation Energy Svante Arrhenius proposed an equation (later confirmed by J.H. van't Hoff) that temperaturedependent reaction rate constant for a reaction to the reaction's ac The so-called Arrhenius equation is: k(T) = Ae-(Ea/RT) %3D where the 'A' term in this expression is called the 'pre-exponential factor' or the R' is the molar gas constant (8.314/ mol-1. K-1), and T" is the reaction temper Kelvin, NOT degrees Celsius). Taking the natural logarithm of both sides of the A gives us: Ea In k(T) = In A RT %3D This is a useful form of the Arrhenius equation, as it doesn't require a computer temperature dependent rate constant data to extract an activation energy. Discu members how this new expression has the same format as a straight line, Recall obeys the equation y = mx + b'. Importantly here, if you plotted "In (7)" versus "1/T", what would th to? How about the intercept? (Give expressions not numbers): %3D m= slope= b intercept = %3D %3D

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Part 3: Arrhenius KineticS and Activation Energy
Svante Arrhenius proposed an equation (later confirmed by J.H. van't Hoff) that relates the
temperaturedependent reaction rate constant for a reaction to the reaction's activation energy, Ea.
The so-called Arrhenius equation is:
k(T) = Ae-(Ea/RT)
%3D
where the 'A' term in this expression is called the 'pre-exponential factor' or the 'frequency factor',
"R' is the molar gas constant (8.314 J mol-1 K-1), and T" is the reaction temperature (in units of
Kelvin, NOT degrees Celsius). Taking the natural logarithm of both sides of the Arrhenius equation
gives us:
In k(T) = In A
Ea
RT
This is a useful form of the Arrhenius equation, as it doesn't require a computer to easily fit
temperature dependent rate constant data to extract an activation energy. Discuss with your group
members how this new expression has the same format as a straight line, Recall that a straight line
obeys the equation
y= mx + b'. Importantly here, if you plotted "In (7)" versus "1/T", what would the slope be equal
to? How about the intercept? (Give expressions not numbers):
m = slope =
b = intercept =
Transcribed Image Text:5/10 88% Part 3: Arrhenius KineticS and Activation Energy Svante Arrhenius proposed an equation (later confirmed by J.H. van't Hoff) that relates the temperaturedependent reaction rate constant for a reaction to the reaction's activation energy, Ea. The so-called Arrhenius equation is: k(T) = Ae-(Ea/RT) %3D where the 'A' term in this expression is called the 'pre-exponential factor' or the 'frequency factor', "R' is the molar gas constant (8.314 J mol-1 K-1), and T" is the reaction temperature (in units of Kelvin, NOT degrees Celsius). Taking the natural logarithm of both sides of the Arrhenius equation gives us: In k(T) = In A Ea RT This is a useful form of the Arrhenius equation, as it doesn't require a computer to easily fit temperature dependent rate constant data to extract an activation energy. Discuss with your group members how this new expression has the same format as a straight line, Recall that a straight line obeys the equation y= mx + b'. Importantly here, if you plotted "In (7)" versus "1/T", what would the slope be equal to? How about the intercept? (Give expressions not numbers): m = slope = b = intercept =
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