Question

I need help solving the following Physical chemistry kinetics problem using Wolfram Mathematica please. Please see the attached documents.

I would really appreciate your help.

 Problem 1. Assume that the reaction 
  Subscript[O, 3] + M -> 3/2 Subscript[O, 2] + M 
is elementary and write down a plausible rate equation for Subscript[dO, 3](t)/dt. Subscript[O, 3](t) is the concentration of ozone (mol/liter) at time t.

Problem 2. Assume that you know that the reaction takes place in two steps 
   Subscript[O, 3] + M \[RightArrowLeftArrow] Subscript[O, 2] + O + M   (1)
and 
  O + Subscript[O, 3] -> 2 Subscript[O, 2]      (2) 
Here M is an inert molecule, such as nitrogen or argon.  Write rate equations for all compounds in reaction; express Subscript[dO, 3]/dt, dO/dt and Subscript[dO, 2]/dt, in terms of the concentrations of Subscript[O, 2], Subscript[O, 3], O, and M. 

Problem 3.  Write the rate equations for the reactions 1 and 2 (given in problem 2) in terms of the extents of reactions.