Mechanisms

1. For the overall reaction

O3 + M = O + O2 + M fast steady state

O + O3 => 2O2 slow

a) Derive the equation: rate = k[O3]2[M]/(k'[O2][M]+[O3])

b) What are k and k' in terms of the rate constants for reactions 1 and 2?

2. Derive the equation:

1/A -1/Ao = kt

For a second order reaction by taking the definite integral of the differential expression and the equation

1/A = kt +C

by taking the indefinite integral.

3. Show that if

ln(k2/k1) = Ea(T2-T1)/RT1T2

then

ln(k2) = ln(k1) + (Ea/R)(1/T1 -1/T2)

4. Show that the 1/3 lifetime of a first order reaction is constant and is equal to:

t_1/3 = 1.10/k