Your task related to this topic is to work out what the analogous“linear transport relation”should be...

80.2K

Verified Solution

Question

Chemistry

Your task related to this topic is to work out what theanalogous“linear transport relation”should be for describingchemistry in the Onsager picture. You need to identify the“force,”the “flux,”and the “transport coefficient.”No need to worryabout how chemistry would interact with other forces and/or fluxes,just an expression describing a chemical reaction itself as a“dissipative channel”that would represent a diagonal term in thematrix of Onsager transport relations (the off-diagonal terms woulddescribecoupling between different forces and fluxeswhile thediagonal terms are all the traditional equations that came beforeOnsager). Correct answers will refer to single chemical reactions,bonus points if you can write the expression fora chemical reactionnetwork with a generic number of reactions taking place inside it.There is one point that I need to notebefore you get started withthis problem, however. The problem is almost as simple as justlooking at the three equations relating flux and force, figuringout which state variables would be used for chemistry (hope that’sobvious but I gave the answer in the notes above if not) and thendeciding whether you want to use a conductance or resistancecoefficient and just “writing it down.”There is one complicationyou will need to puzzle out, however, which is probably also thereason that there isn’t a law of this sort already defined forchemical reactions. I’ll give you a hint: it has to do withthemeaning of the statement chemistry teachers say“don’t confusethermodynamics with kinetics,”which I told you really meant “don’tconfuse a barrier height with a well depth,”but we could also say“don’t confuse equilibrium thermodynamics with kinetics.”OK, that’sthe only complication that makes the answer to the question atalldifferent than the other three equations and once you get it thenyou should be able to just write downthe answer.

Answer & Explanation Solved by verified expert
4.5 Ratings (640 Votes)
B OLTZMANN transport equation has played an important role in basic and applied sciences It is a nonlinear integrodifferential equation for the phase space density of the molecules of a dilute gas It remains today an important theoretical technique for investigating nonequilibrium systems It was derived by Ludwig Eduard Boltzmann 1844 1906 in his further studies on thermal equilibrium between gas molecules 1 published in the year 1872 Boltzmann did this work solely for purpose of addressing the conflict between timereversalinvariant Newtonian mechanics and timearrowed thermodynamics Linear version of this equation 2 provides an exact description of neutron transport in nuclear reactor core and shields Linear transport equation constitutes the backbone of nuclear industry It is indeed appropriate that the Indian Society for Radiation Physics ISRP has chosen Boltzmann transport equation as focal theme for the sixteenth National Symposium on Radiation Physics NSRP16 in Meenakshi College for Women Chennai during January 18 21 2006 The year 2006 marks the hundredth anniversary of Boltzmanns death There are going to be several talks 3 in this symposium covering various aspects of linear transport equation However in this opening talk I shall deal with nonlinear transport equation I shall tell you of Boltzmanns lifelong struggle for comprehending the mysterious emergence of time asymmetric behaviour of a macroscopic object from the time symmetric behaviour of its microscopic constituents In the synthesis of a macro from its micro why and when does    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students