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 > E_A, T) as a function of (E_A/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 > E_A, T) versus T for E_A = 3, 10, 25, and 40 kcal/mole. Describe what you find. Hint: Recall the range of validity for T in Equation (3-23).