Most Expected Questions of Chemical Science: Statistical Thermodynamics! (Download PDF)

By Renuka Miglani|Updated : November 6th, 2021

Hello Aspirants,

It will not be a new thing for you if we say that BYJU'S Exam Prep is considered the synonym for success. For the past 5 years, At BYJU'S Exam Prep, we have been promoting talented candidates of the CSIR-NET category to the path of success. As a result, BYJU'S Exam Prep has been an integral part of the preparation journey of many Aspirants.

As we all know, the CSIR-NET exam is very near, and there is no time left for revision. At this point, you must be seeking some ready-made authentic short revision notes or some important questions to practice just before the exam. How will you react if you get all these study materials in one place? It will be beneficial for you at this time, right! At BYJU'S Exam Prep, we come up with the Most Important Questions of Statistical Thermodynamics for Chemical Sciences to help you score good marks, which our experienced Exam experts have meticulously designed.

So what are you waiting for? Scroll down the article below and start revision for the CSIR NET Exam; these questions will be fruitful during the last-minute revision to fetch more marks in the exams. Students can also download it as a PDF file and save it for future purposes.

Read Full Article

Hello Aspirants,

Statistical Thermodynamics - Most Important Questions! (Download PDF)

1. A system consists of non-interacting Fermi particles with Fermi energy EF has the density of states proportional to √E, where E is the energy of a particle. Determine the average energy per particle at temperature T = 0.

1/5 E_F
1/6 E_F
3/5 E_F
2/5 E_F

2. A system consists of N non-interacting and distinguishable particles of spin 1 which are present in thermodynamics equilibrium. Calculate the entropy of the system.

2k_B ln N
Nk_B ln 3
Nk_Bln 2
3k_B ln N

3. A system of N particles has, among others, two energy levels with g1 = 2, g2 = 3, U1 = 41.84 kJ mol-1 and U2 = 58.58 kJ mol-1. Calculate the ratio of the number of particles in the two energy states at 1000 K.

0.51
0.46
0.92
0.20

4. Calculate the molar residual entropy of an AX crystal in which the molecule can adopt 4 orientations of equal energy.

18.526 JK^-1 mol^-1
11.526 JK^-1 mol^-1
10.526 JK^-1 mol^-1
14.526 JK^-1 mol^-1

5. In a system of two particles, each particle can be present in any one of three possible quantum states. Calculate the ratio of the probability that the two particles occupy the same state to the probability that the two particles occupy different states for M-B statistics.

6. Six distinguishable particles can be distributed over three non-degenerate levels having energies 0, E and 2E. Determine the total energy of the distribution for which the probability is a maximum.

4E
6E
3E
None of the above

7. Consider N particles at temperature T, pressure P, Volume V and chemical potential μ having energy E. The parameters that are kept constant for a canonical ensemble are:

N, V, T
N, V, E
N, P, T
μ, V, T

9. The term symbol for the ground state of a metal ion is 3F4. The residual entropy of a crystal of a salt of this metal ion at 0 K is:

3k_B ln 3
k_B ln 4
2k_B ln 2
4k_B ln 9

10. Calculate the characteristics rotational temperature and the rotational partition function for H2 gas at 2727°C given that the moment of inertia of hydrogen gas molecule at this temperature is 4.6033× 10-48 kg m2.

12.799
17.144
16.322
18.432

Solutions

Solution 1:

Solution 2:

Solution 3:

Solution 4:

Solution 5:

Solution 6:

Solution 7:

An ensemble is a collection of a very large number of assemblies, which are independent of each other and microscopically as identical as possible. Canonical ensemble is defined on the collection of independent assemblies having the same temperature T, volume V, and the number of system N. Hence, the parameters that are kept constant for a canonical ensemble are N, V and T.

Solution 8: