Problem_set_6

Problem_set_6 - Problem set 6; chem. 127/227; fall quarter...

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1 Problem set 6; chem. 127/227; fall quarter 2007 1. (a) Convert the Eyring equation to the Arrhenius equation. Each of the necessary expressions was given in Friday’s lecture. When you’re done, you should be able to define the Arrhenius pre-exponential factor more precisely than heretofore. Please do so. (b) Show that (k 1 /k 2 )K eq = exp( Δ G 2 –[ Δ G 1 + Δ G eq ]) … the equivalent forms of the classic Curtin-Hammett scenario. 2. Suppose the relative amounts of two compounds that are related via some sort of equilibrium process is 90/10 at 25 °C. (a) What is the energy difference between the compounds? Show your work. I could have picked any ratio, but selected 90/10 because I suspect that each of us would agree that this is an acceptable product distribution. (b) Show that Δ G (in kcal/mol) ~ –1.4 log K eq , at 25 °C This is a very handy expression that is easy to use because of your knowledge of the properties of simple logarithms, base 10. Let’s try a few examples to convince you that the expression is easy (and handy) to use. (c) Use the equation to show that when
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Problem_set_6 - Problem set 6; chem. 127/227; fall quarter...

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