CH353 - Physical Chemistry I
Spring 2012, Unique 52135


Homework, Week 11


Homework, week 11
Answer key

1. Define the following terms in clear, comprehensible English:

            a) microscopic property

            b) macroscopic property

            c) partition function

            d) energy of a monatomic species

            e) energy of a polyatomic species

            f) degeneracy

 

2.  (Download the PDF to see the diagram in this problem.)  The following diagram displays the lowest energy states of the NO molecule.

a) Determine the partition function q for this system.

b) Plot q vs. T.  Be sure to indicate the low- and high-T limits.

c) Plot the probability of each level vs. T.  Be sure to indicate the low- and high-T limits.

3.  The lowest three electronic energy levels for the tellurium atom have the following energies and degeneracies:

            Level                        Energy                        Degeneracy

            3                               2D                              3

            2                               D                                1

            1 (ground)                0                                 5

a) Determine the partition function q for this system.

b) Plot q vs. T.  Be sure to indicate the low- and high-T limits.

c) Plot the probability of each level vs. T.  Be sure to indicate the low- and high-T limits.

5.  For the rigid rotator, the energy levels are described by

                        , J = 0, 1, 2…

 

and each level has a degeneracy of

                       

Draw a labeled energy level diagram of all states in J = 0, 1, and 2 (i.e. in the three lowest energy levels).