Dr. Aniruddha Chakraborty

                                          Quiz 1                                          <<back
                  Introduction to Molecular Thermodynamics (CY247)

 1. (a) Write out all the ways (microstates) to distribute 2 quanta of energy
           to 4 paricles, grouping these microstates into distinct distributions.
     (b) How much more probable is to find two particles each with one quantum
          of energy than finding a single particle with both quanta?
 

 2   A jar contains one blue ball, one green ball, one red ball, and three orange
      balls. What is the probability that a ball drawn at random
     (a) will be green?
     (b) will be orange?
     (c) will not be blue?

 3. A system initially containing 2.0 mol. of H2O, 1.0 mol. of D2O, and 2.0
     mol. of HDO is allowed to exchange Hydrogen for Deuterium. Determine
     the amounts of H2O, D2O and HDO expected at equilibrium?

 4. Simple probability governs the equilibirium positions of chemical     systems
     and the number of heads and tails you can toss with a coin. Why does
     normal chemical system never seem to fluctuate from its equilibrium position but if you flip a coin 100 times you expect that you might not get
 exactly 50 heads and 50 tails?

 5. “Determining equilibirium amounts based solely on probability has the
      advantage that we do not have to worry about there being more then one
      equilibrium at work ”- Justify.
 

6. “Equilibrium constants describe the most probable distribution ” -Justify.
 

7. “Le Chatelier’s principle is based on probability” - Justify.
 

8. How probable is the most probable distribution? Explain with examples.