M.Sc. (Semester IV) (CBCS) Examination Mar/Apr-2018
Physical Chemistry
STATISTICAL MECHANICS AND IRREVERSIBLE 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 any two questions from Section-III. Answer to all questions (Section II and III) should be written in the one answer book. All question carry equal marks. Figures to the right indicate full marks. Use of log table and calculator is allowed.
Section I
Q.1
Answer the following.
14
Why electron obeys F-D statistics?
Give symmetry number for H2 and O2 molecule.
Define degree of advancement of a chemical reaction.
Entropy is a path independent thermodynamic function. True/False.
Evaluate electronic partition function for an atom whose atomic state is 2P3/2.
Mention Euler's theorem of exactness.
Give any two pair of conjugate variables.
State third law of thermodynamics.
State Boltzmann-Planck equation.
Evaluate 6.023×1023 (Use Stirling's approximation)
What do you meant by flux and force?
Give the expression for translational partition function.
What is residual entropy?
The para state of hydrogen is associated with values of rotational quantum number.
I. Odd
II. Even
III. Both
IV. None of these
Section II
Q.2
Explain the entropy production due to heat flow.
07
Discuss in brief Debye theory for heat capacity of solid.
07
Q.3
What do you mean by an ensemble? Describe in detail canonical ensemble.
07
Show that Qtrans V. Write down the equation for Strans.
07
Q.4
Give the expression for classical M-B distribution law. Evaluate the M-B constants and
07
Name various electro kinetic effects? Explain how they relate with each other.
07
Section III
Q.5
Write on thermodynamic probability.
05
Compare F-D and B-E statistics.
05
Using Sackur-Tetrode equation, estimate the translational entropy of the Ne gas at 298 K and 1 atm. Pressure.
04
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SLR-UF-218
Q.6
(dH/dp)T=V−T(dV/dT)P.
If and dH is an exact differential then prove that
05
Discuss permutation and combinationary rules.
05
Calculate the rotational partition function for OH radical at 300K (Given rO−H=0.971
04
Q.7
Write a note on any THREE of the following.
14
Phase space
Electronic partition function
Conservation of mass in open and closed system
Electronic gas in metals