Avogadro.mov

You will be able to study Avogadro's principle;
Dalton's Law of Partial Pressure;
Reaction rates,
Find the order of reaction,
Understand kinetics of the second order reaction.

In this movie 512 particles of the 1-st type (red) and 512 particles of the second type  (green) react
apon collision and form a dimer (type 3, blue). No energy is released during the reaction;
The temperature of the system stays constant. 
1. Watch the number of paricles of type 1 and and type 3 graph and find the number of
free particles in the system. Watch the pressure graph and find if the Avogadro's principle
is correct at any stage of the reaction. (Pressure is proportional to the number of molecules)

2. Caracterize the shape of the graph of number of particles of type 1 versus time. 
Explain why the number of particles of the second type
is equal to the number of particles of the first type. 

To make more detailed calculations make Averages for time intervals 20, 20, 40, 80, 160, 320, 640, 1280, 2340
at frame numbers 2, 4, 8, 16, 32, 64, 128, 256, 490.
For each time interval record the values of Average number of particles of the first type, of the
third type, their average kinetic energies, and pressure. (Note: the correct value of the energies are 1.5
times larger than those reported by the program, what we see here is temperatures of each particles).
Find if the Dalton's Law of partial pressures for particles of type1, 2 , and 3 is correct.
For each of your measurements.

Explain possible deviatiations. (The gas goes out of equilibrium as soon as reaction started)

Make the graphs of temperatures of remain reactants and products. Why are they not equal?

The fast particles have higher chance to collide than the slow ones, so the kinetic energy of the 
products is larger than that of remain reactants which are slow. 

Check if the modified Dalton's Law is correct for which each partial pressure is computed using 
the temperature of each component. (Assume that the temperature of type 2 is equal to that of type 1).

Find the reaction rate (number of reacted particles of type 1 divided by the length of the interval)
Construct a double logarithmic plot of the reaction rate vs. versus number of reactants. Find the slope
of this graph. Find the ratio of reation rate over the square of reactants. 
What is the order of the reaction? Contruct the graph number of remaining reactants versus time.  
Construct the graph of the inverse number of reactants versus time. Are these graphs consistent
with the theory of the second order reaction? Explain possible deviations.