M.Sc. (Semester IV) (CBCS) Examination Nov/Dec-2018
Physical Chemistry
STATISTICAL MECHANICS AND THERMODYNAMICS
Time: 2½ Hours
Max. Marks: 70
Instructions: Attempt in all five questions. Section I is compulsory Attempt any two questions from section II and section III. Answer to all questions (Section II and III) should be written in one answer book. All questions carry equal mark. Figures to right indicate full marks. Use of log table non programmable calculator is allowed.
Section I
Q.1
Answer the following:
14
Give the partial differentiation for E f
What do you mean by flux and force?
State Born-Oppenheimer approximation?
What is symmetry number for homonuclear diatomics like H2 and O2?
Define the degree of advancement of ammonia formation reaction.
Write down Debye T-cubed law.
Give the principle of equipartition of energy.
The electronic partition function of an atom having atomic state 2S1/2 is
What is the condition at which the quantum statistics becomes equal to Boltzmann statistics?
The translational energy states are non-degenerate. (True or False)
Give the general relation between partition function and Gibbs' free energy
The principle of conservation of mass for an open system is expressed
What is Fermion? Mention any two of them.
Give the expression for Dulog-Petit law.
Section II
Q.2
Derive the expression for Sackur-Tetrode equation.
07
Illustrate Onsager's theory of microscopic reversibility.
07
Q.3
Derive Vibrational partition function for diatomic molecule. Evaluate Qvib for H2 molecule at 3000 K. [Given: fundamental vibrational frequency 4405
07
Deduce the expression for Bose Einstein statistics.
07
Q.4
Derive Einstein's heat capacity equation for solid.
07
Discuss entropy production due to heat flow.
07
Section III
Q.5
What do you mean by exact and inexact differentials? Give examples of each.
05
Write on the entropy change during physical transformations.
05
Show that dP is an exact differential (Given PV RT)
04
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SLR-VF-175
Q.6
Discuss the ortho and para hydrogen concept.
05
Illustrate the concept of configuration and microstates with suitable example.
05
At room temperature, which molecule will have the maximum rotational entropy H2, D2, N2, or O2. Explain the answer with reason.
04
Q.7
Write short notes on any Three of the following.
14
Legendre transformations
The most probable configuration
Electronic partition functions
Phenomenological equations and coefficients