How Does Temperature Affect the Rate Constant in Chemical Reactions?

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SUMMARY

The rate constant in chemical reactions is directly related to temperature, as described by the Arrhenius equation: k = Ae^(Ea/RT). This equation illustrates that as temperature (T) increases, the rate constant (k) also increases, assuming other variables remain constant. The discussion highlights the use of logarithmic transformations, specifically ln(k2/k1) = -Ea/RT(1/T2 - 1/T1), to analyze this relationship, confirming the dependence of k on T.

PREREQUISITES
  • Understanding of the Arrhenius equation
  • Basic knowledge of chemical kinetics
  • Familiarity with logarithmic functions
  • Concept of activation energy (Ea)
NEXT STEPS
  • Study the derivation and applications of the Arrhenius equation
  • Explore the concept of activation energy in detail
  • Learn about temperature's impact on reaction mechanisms
  • Investigate the use of temperature in experimental kinetics
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Chemistry students, educators, and researchers interested in chemical kinetics and the effects of temperature on reaction rates.

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Homework Statement


How is the rate constant related to temperature when other variables are constant

Homework Equations


Arrhenius equation: k=Ae^Ea/RT

The Attempt at a Solution


I know it is just a matter of rearranging but I can't seem make it end up as k ∝ T in some way.
I tried using logarithms and ln(k2/k1) = -Ea/RT(1/T2 - 1/T1) and can't get it
I think this is the same question as https://www.physicsforums.com/showthread.php?t=203424 and it was tagged as solved but it was not.
 
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No idea what you are asking about - Arrhenius equation gives you dependence between rate constant and temperature, isn't it exact answer to your question?

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