December 26, 2024, 06:39:27 PM
Forum Rules: Read This Before Posting


Topic: Proof of Arrhenius equation  (Read 6636 times)

0 Members and 2 Guests are viewing this topic.

Offline Steenrod

  • Regular Member
  • ***
  • Posts: 81
  • Mole Snacks: +0/-4
Proof of Arrhenius equation
« on: October 29, 2012, 12:43:02 AM »
How do we prove Arrhenius equation for the relation between rate constant [itex]k[/itex] and temperature [itex]T[/itex] given by [tex]k=Ae^{\frac{-E_a}{RT}}[/tex] where [itex]E_a[/itex] is the energy of activation?

(I am looking for a rigorous proof)Thanks in advance.
I am horrible at chemistry.I am always liable to fail my chemistry exams.So, sorry for stupid questions.

Offline curiouscat

  • Chemist
  • Sr. Member
  • *
  • Posts: 3006
  • Mole Snacks: +121/-35
Re: Proof of Arrhenius equation
« Reply #1 on: October 29, 2012, 02:01:09 AM »
I think you get there from the Boltzman Distribution.

Offline Steenrod

  • Regular Member
  • ***
  • Posts: 81
  • Mole Snacks: +0/-4
Re: Proof of Arrhenius equation
« Reply #2 on: October 29, 2012, 03:13:47 AM »
I am rather ignorant.Can you please post a proof?
I am horrible at chemistry.I am always liable to fail my chemistry exams.So, sorry for stupid questions.

Offline Borek

  • Mr. pH
  • Administrator
  • Deity Member
  • *
  • Posts: 27887
  • Mole Snacks: +1816/-412
  • Gender: Male
  • I am known to be occasionally wrong.
    • Chembuddy
Re: Proof of Arrhenius equation
« Reply #3 on: October 29, 2012, 04:49:23 AM »
How do we prove Arrhenius equation

Quote
(I am looking for a rigorous proof)Thanks in advance.

While it can be probably done using statistical mechanics, chemistry is an experimental science, and the most important proof is not the theoretical one (as in math), but an experimental one - you do experiments to see how the reaction speed depends on the temperature.
ChemBuddy chemical calculators - stoichiometry, pH, concentration, buffer preparation, titrations.info

Offline curiouscat

  • Chemist
  • Sr. Member
  • *
  • Posts: 3006
  • Mole Snacks: +121/-35
Re: Proof of Arrhenius equation
« Reply #4 on: October 29, 2012, 05:09:23 AM »

Offline Steenrod

  • Regular Member
  • ***
  • Posts: 81
  • Mole Snacks: +0/-4
Re: Proof of Arrhenius equation
« Reply #5 on: October 29, 2012, 06:46:30 AM »
Ok,I got it.Thanks.
I am horrible at chemistry.I am always liable to fail my chemistry exams.So, sorry for stupid questions.

Sponsored Links