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Chapter 3, Problem 3.4P

Use Equation (3-20) to make a plot of f(E,T) as a function of E for T = 300, 500, 800, and 1200 K.

  1. (a) What is the fraction of molecules that have sufficient energy to pass over a energy barrier of 25 kcal at 300, 500, 800, and 1200 K?
  2. (b) For a temperature of 300 K, what is the ratio of the faction of energies between 15 and 25 kcal to the same energy range (15-25 kcal) at 1200 K?
  3. (c) Make a plot of F(E > EA, T) as a function of (EA/RT) for (E/RT) > 3. What is the fraction of collisions that have energies greater than 25 kcal/mole at 700 K?
  4. (d) What fraction of molecules have energies greater than 15 kcal/mol at 500 K?
  5. (e) Construct a plot of F(E > EA, T) versus T for EA = 3, 10, 25, and 40 kcal/mole. Describe what you find. Hint: Recall the range of validity for T in Equation (3-23).
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