A certain reaction has an activation energy of 63.0 kJ/molkJ/mol and a frequency factor of A1A1A_1 = 4.50×1012. What is the rate constant, kkk, of this reaction at 21.0 ∘C∘C ? Express your answer numerically. The linear form of the Arrhenius equation The Arrhenius equation can be rearranged to a form that resembles the equation for a straight line: lnky==−(EaR)m(1T)x++lnAbln⁡k=−(EaR)(1T)+ln⁡Ay=mx+b where yyy is lnkln⁡k, mmm is the slope or −EaR−EaR, xxx is 1T1T, and bbb is the yyy-intercept or lnAln⁡A. The linearity of this equation is illustrated graphically in the image. Part B An unknown reaction was observed, and the following data were collected:

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There are several factors that affect the rate of a reaction. These factors include temperature, activation energy, steric factors (orientation), and also collision frequency, which changes with concentration and phase. All the factors that affect reaction rate can be summarized in an equation called the Arrhenius equation:

k=Ae−Ea/RTk=Ae−Ea/RT

where kkk is the rate constant, AAA is the frequency factor, EaEaE_a is the activation energy, R=8.314 J/(mol⋅K)R=8.314 J/(mol⋅K) is the universal gas constant, and TTT is the absolute temperature.
 

Part A

A certain reaction has an activation energy of 63.0 kJ/molkJ/mol and a frequency factor of A1A1A_1 = 4.50×1012. What is the rate constant, kkk, of this reaction at 21.0 ∘C∘C ?
Express your answer numerically.
 

The linear form of the Arrhenius equation

The Arrhenius equation can be rearranged to a form that resembles the equation for a straight line:

lnky==−(EaR)m(1T)x++lnAbln⁡k=−(EaR)(1T)+ln⁡Ay=mx+b

where yyy is lnkln⁡k, mmm is the slope or −EaR−EaR, xxx is 1T1T, and bbb is the yyy-intercept or lnAln⁡A. The linearity of this equation is illustrated graphically in the image.

Part B

An unknown reaction was observed, and the following data were collected:

 

TTT
(KK)
kkk
(M−1⋅s−1M−1⋅s−1)
352 109
426 185

 

Determine the activation energy for this reaction.
Express your answer in kilojoules per mole.
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