PHE-06 Solved Assignment 2023

IGNOU PHE-06 Solved Assignment 2023

Solved By – Narendra Kr. Sharma – M.Sc (Mathematics Honors) – Delhi University


Please read the following points before ordering this IGNOU Assignment Solution.

Share with your Friends

Details For PHE-06 Solved Assignment

IGNOU PHE-06 Assignment Question Paper 2023


Course Code: BPHE-106/PHE-06

Assignment Code: BPHE-106/PHE-06/TMA/2023

Max. Marks: 100

Note: Attempt all questions. Symbols have their usual meanings. The marks for each question are indicated against it.

1. a) Define degree of freedom of a molecule. Write the formula for the number of degrees of freedom of a molecule. Calculate the degree of freedom for a rigid diatomic molecule.

b) The average energy of a helium molecules is \(2.89 \times 10^{-21} \mathrm{~J}\). Calculate their most probable speed and average speed.

c) Write the van der Waals’ equation of state. Using this equation, obtain the critical constants and show that

\frac{R T_{C}}{p_{C} V_{C}}=\frac{8}{3}

d) Derive an expression for survival equation for distribution of free paths. Also, plot survival equation.

e) Derive Einstein formula for mean square displacement of a Brownian particle.

2. a) Describe the construction and working of a Platinum resistance thermometer. Write its two principal merits.

b) Define the followings with example: (i) Intensive variables (ii) Extensive variables (iii) Adiabatic boundary (iv) Open system (v) Isolated system.

c) Obtain the expression for isothermal compressibility \(\left(\beta_{\mathrm{T}}\right)\) and coefficient of volume expansion \((\alpha)\) for a van der Waals’ gas.

d) Obtain an expression for work done by an ideal gas in an adiabatic process. Two litre of an ideal gas at a pressure of \(5 \mathrm{~atm}\) expands adiabatically to two times its initial volume. Calculate the work done by the gas. Given \(\gamma=1.4\).

e) Derive an expression for Clausius- Clayperon equation.

3. a) Draw a \(T-S\) diagram of a Carnot cycle and derive an expression of efficiency of a heat engine working between \(T_{1}\) and \(T_{2}\).

b) A freezer operates between \(-15^{\circ} \mathrm{C}\) and \(27^{\circ} \mathrm{C}\). Calculate the maximum value of coefficient of performance \((\omega)\) for this refrigerator. With this \(\omega\), how much electrical energy would be required to freeze \(0.8 \mathrm{~kg}\) of water, initially at \(0^{\circ} \mathrm{C}\). Given specific latent heat of fusion \(=334 \mathrm{~kJ} \mathrm{~kg}^{-1}\).

c) Using Maxwell’s relations, derive first and second \(T d S\) equations.

d) What is Joule-Thomson effect? Derive an expression of Joule-Thomson coefficient for a van der Waals’ gas. 4. a) The thermodynamic probability for a Boson system is given by

W=\pi \frac{\left(g_{i}+N i-1\right) !}{\left(g_{i}-1\right) ! N_{i} !}

Using this relation, derive an expression for the Bose-Einstein distribution function.

b) Establish the Boltzmann relation \(S=k_{\mathrm{B}} \ln W\).

c) What is Gibbs paradox? Derive the Sackur-Tetrode equation for the entropy for an ideal monatomic gas.

d) The expression for Planck’s law for energy density is given by

u_{v} d v=\frac{8 \pi h}{c^{3}} \frac{v^{3} d v}{\exp \left[\frac{h v}{k_{\mathrm{B}} T}-1\right]}

Using this expression, obtain (i) Wien’s law and (ii) Stefan-Boltzmann law.

\(sin^2\left(\frac{\theta }{2}\right)=\frac{1-cos\:\theta }{2}\)

PHE-06 Sample Solution 2023


Frequently Asked Questions (FAQs)

You can access the Complete Solution through our app, which can be downloaded using this link:

App Link 

Simply click “Install” to download and install the app, and then follow the instructions to purchase the required assignment solution. Currently, the app is only available for Android devices. We are working on making the app available for iOS in the future, but it is not currently available for iOS devices.

Yes, It is Complete Solution, a comprehensive solution to the assignments for IGNOU. Valid from January 1, 2023 to December 31, 2023.

Yes, the Complete Solution is aligned with the IGNOU requirements and has been solved accordingly.

Yes, the Complete Solution is guaranteed to be error-free.The solutions are thoroughly researched and verified by subject matter experts to ensure their accuracy.

As of now, you have access to the Complete Solution for a period of 6 months after the date of purchase, which is sufficient to complete the assignment. However, we can extend the access period upon request. You can access the solution anytime through our app.

The app provides complete solutions for all assignment questions. If you still need help, you can contact the support team for assistance at Whatsapp +91-9958288900

No, access to the educational materials is limited to one device only, where you have first logged in. Logging in on multiple devices is not allowed and may result in the revocation of access to the educational materials.

Payments can be made through various secure online payment methods available in the app.Your payment information is protected with industry-standard security measures to ensure its confidentiality and safety. You will receive a receipt for your payment through email or within the app, depending on your preference.

The instructions for formatting your assignments are detailed in the Assignment Booklet, which includes details on paper size, margins, precision, and submission requirements. It is important to strictly follow these instructions to facilitate evaluation and avoid delays.

\(\operatorname{cosec}^2 \theta=1+\cot ^2 \theta\)

Terms and Conditions

  • The educational materials provided in the app are the sole property of the app owner and are protected by copyright laws.
  • Reproduction, distribution, or sale of the educational materials without prior written consent from the app owner is strictly prohibited and may result in legal consequences.
  • Any attempt to modify, alter, or use the educational materials for commercial purposes is strictly prohibited.
  • The app owner reserves the right to revoke access to the educational materials at any time without notice for any violation of these terms and conditions.
  • The app owner is not responsible for any damages or losses resulting from the use of the educational materials.
  • The app owner reserves the right to modify these terms and conditions at any time without notice.
  • By accessing and using the app, you agree to abide by these terms and conditions.
  • Access to the educational materials is limited to one device only. Logging in to the app on multiple devices is not allowed and may result in the revocation of access to the educational materials.

Our educational materials are solely available on our website and application only. Users and students can report the dealing or selling of the copied version of our educational materials by any third party at our email address ( or mobile no. (+91-9958288900).

In return, such users/students can expect free our educational materials/assignments and other benefits as a bonafide gesture which will be completely dependent upon our discretion.

Scroll to Top
Scroll to Top