Jul 7, 2013 ... Assignment Code: PHE-06/TMA/2013-14. Max. ... water-glycerine solution
characterised by η = 2.80 × 10−3 kg m−1 s−1 at 300K for 10 s.
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PHE-06 ASSIGNMENT BOOKLET Bachelor's Degree Programme (B.Sc.) THERMODYNAMICS AND STATISTICAL MECHANICS Valid from July 1, 2013 to March 31, 2014 It is compulsory to submit the Assignment before filling in the Term-End Examination Form.
Please Note • You can take electives (56 to 64 credits) from a minimum of TWO and a maximum of FOUR science disciplines, viz. Physics, Chemistry, Life Sciences and Mathematics. • You can opt for elective courses worth a MINIMUM OF 8 CREDITS and a MAXIMUM OF 48 CREDITS from any of these four disciplines. • At least 25% of the total credits that you register for in the elective courses from Life Sciences, Chemistry and Physics disciplines must be from the laboratory courses. For example, if you opt for a total of 64 credits of electives in these 3 disciplines, at least 16 credits should be from lab courses. • You cannot appear in the Term-End Examination of any course without registering for the course. Otherwise, your result will not be declared and the onus will be on you. Dear Student, Dear Sir,
School of Sciences Indira Gandhi National Open University Maidan Garhi, New Delhi-110068 (For July, 2013 Cycle)
Dear Student We hope you are familiar with the system of evaluation to be followed for the Bachelor’s Degree Programme. At this stage you may probably like to re-read the section on assignments for Elective Courses in the Programme Guide that we sent you after your enrolment. A weightage of 30 per cent, as you are aware, has been earmarked for continuous evaluation, which consists of one tutor-marked assignment (TMA) for this 4-credit course. Submit your assignment response at your Study Centre. Instructions for Formatting Your Assignments Before attempting the assignment please read the following instructions carefully: 1) On top of the first page of your TMA answer sheet, please write the details exactly in the following format:
ENROLMENT NO. : ……………………………………… NAME : ……………………………………… ADDRESS : ……………………………………… ……………………………………… ……………………………………… COURSE CODE
: ……………………………..
COURSE TITLE
: ……………………….…….
ASSIGNMENT NO. : ………………………….… STUDY CENTRE
: ………………………..…….
DATE : ….……………………………………
PLEASE FOLLOW THE ABOVE FORMAT STRICTLY TO FACILITATE EVALUATION AND TO AVOID DELAYS. 2) Use only foolscap size good quality writing paper (but not of very thin variety) for writing your answers. 3) Leave 4 cm margin on the left, top and bottom of your answer sheet. 4) Your answers should be precise and in your own words. 5) While solving problems, clearly indicate the question number along with the part being answered. Write units at each step of your calculations as done in your study material. Marks will be deducted for not adhering to this practice. Take care of significant digits in your work. Recheck your work before submitting it. 6) This assignment will remain valid from July 1, 2013 to March 31, 2014. However, you are advised to submit it within 12 weeks of receiving this booklet to accomplish its purpose as a teaching-tool. Answer sheets received after the due date shall not be accepted. We strongly feel that you should retain a copy of your assignment response to avoid any unforeseen situation and append, if possible, a photocopy of this booklet with your response. We wish you good luck.
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Tutor Marked Assignment PHE-06: Thermodynamics and Statistical Mechanics Course Code: PHE-06 Assignment Code: PHE-06/TMA/2013-14 Max. Marks: 100
Note: Attempt all questions. Symbols have their usual meanings. The marks for each question are indicated against it. 1. Answer any five parts:
(4 × 5 = 20)
i)
Describe constant volume gas thermometer.
ii)
Calculate entropy of mixing in terms of mole fractions of mixing gases.
iii)
Explain the basic differences between phase diagrams of water and CO2.
iv)
Discuss vertical distribution of pollutants in our atmosphere by treating these as Brownian particles.
v)
Obtain critical constant for Dieterici’s equation.
vii) Discuss Gibbs Paradox and explain how it was resolved. vii) Obtain an expression for Bose- Einstein condensation temperature. 2. a)
1kg of water at 0oC is fully converted into steam at 100°C at normal pressure. Calculate the change in entropy. The specific heat capacity of water is 4.18 × 103 J kg−1 K−1 and latent heat of vaporisation is 2.24 × 106 J kg−1. (5)
b)
Calculate the work done by one mole of a van der Waals’ gas if during its isothermal expansion its volume increases from 1m3 to 2m3 at a temperature 300K. Take a = 1.39 × 10−6 atm m6 mol−2 and b = 39.1 × 10−6 m3 mol−1. (7)
c)
One mole of oxygen at STP is adiabatically compressed to 5 atm. Calculate the final temperature. Also, calculate the work done on the gas. Take γ = 1.4 and R = 8.31 J mol−1 K−1. (8)
3. a)
Plot temperature variation of heat capacity for first order and second order Phase transitions.
(4)
b)
What is Joule-Thomson effect? Derive an expression for Joule-Thomson coefficient for a van der Waals gas in terms of inversion temperature. Discuss its significance for liquefication of gases. (8)
c)
Calculate the ratio (PV / RT) at the critical point for a gas which obeys the equation of (8) state p (V − b) = RT exp (− α / RTV ).
4. a)
What is transport phenomenon? How does it arise? Derive an expression for the coefficient of viscosity of a gas. Discuss its temperature and pressure dependence. (10)
b)
An experimentalist observed the motion of soot particles of radius 0.5 × 10−4 cm in water-glycerine solution characterised by η = 2.80 × 10−3 kg m−1 s−1 at 300K for 10 s. The observed value of ∆ x 2 was 3.30 × 10−8 cm2. Calculate Boltzmann constant and hence Avogadro’s number. (5) 3
c) 5. a) b)
Obtain van der Waals’ equation of state. How far does it explain the observed results? State its limitations. (5) Derive Boltzmann relation S = k B ln W . Discuss its significance. Show that the Fermi energy at absolute zero is given by:
εF = c)
(7)
h2 2m
3N 8π V
2/3
(7)
Compute the Fermi energy and the corresponding Fermi temperature of aluminium (trivalent metal) using the following data: ρ = 2.67 × 103 kg m −3
and
M al = 26.98 ×10 −3 kg
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(6)
TENTATIVE SCHEDULE FOR PHYSICS PROGRAMMES BROADCAST ON GYAN DARSHAN 1 July 2013 – May 2014 This is the tentative schedule for Physics students. The students may approach their cable operator to avail this facility. Date/Day July 2013 07-07-13 (Sun) 09-07-13 (Tues) 14-07-13 (Sun) 21-07-13 (Sun) 23-07-13 (Tues) August 2013 06-08-13 (Tues) 13-08-13 (Tues) 20-08-13 (Tues) 27-08-13 (Tues)
Time Slot
Course Code
Video Programme Title
9.00-9.30 pm
PHE-04
Vector Calculus Part-I
8.30-9.00 am
BPHE-101
9.00-9.30 pm
PHE-11
Exploring Physics: Experiments with Low cost Materials Matter Waves and the Uncertainty Principle
9.00-9.30 pm
PHE-11
Wave Particle Duality
8.30-9.00 am
BPHE-101
The Bicycle: A Vehicle for Teaching Physics
8.30-9.00 am
BPHE-101
The Physics of Dance
8.30-9.00 am
PHE-15
The Milky Way
8.30-9.00 am
PHE-04
Vector Calculus Part-II
8.30-9.00 am
PHE-15
Stellar Spectra and Classification
PHE-10
Digital Modulation
PHE-10
Amplitude Modulation
PHE-06
First Law of Thermodynamics
PHE-06
Applications of the First Law of Thermodynamics
PHE-15
Stellar Structure
PHE-10
Transistor Biasing
PHE-06
Thermodynamics in Action
PHE-06
Ushmagatiki ke Anuprayog
PHE-10
Electronic Devices
September 2013 03-09-13 8.30-9.00 am (Tues) 08-09-13 9.00-9.30 am (Sun) 10-09-13 8.30-9.00 am (Tues) October 2013 06-10-13 9.00–9.30 pm (Sun) 13-10-13 9.00–9.30 pm (Sun) November 2013 10-11-13 9.00–9.30 pm (Sun) December 2013 15-12-13 9.00–9.30 pm (Sun) 17-12-13 8.30-9.00 am (Tues) 24-12-13 8.30-9.00 am (Tues)
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Date/Day
Time Slot
Course Code
Video Programme Title
9.00–9.30 pm
PHE-15
Glimpses of the Cosmos
9.00–9.30 pm
PHE-02
Simple Harmonic Motion
9.00–9.30 pm
PHE-15
Exploring the Night Sky
8.30-9.00 am
PHE-02
Dolan
9.00–9.30 pm
PHE-15
On the Trail of Stars
8.30-9.00 am
PHE-06
Second Law of Thermodynamics
8.30-9.00 am
PHE-02
Coupled Oscillations
8.30-9.00 am
PHE-13
Introduction to Crystal Structure
8.30-9.00 am
PHE-15
Astronomical Coordinates
9.00–9.30 pm
PHE-10
Operational Amplifier
8.30-9.00 am
PHE-06
Carnot Cycle
9-00-9.30 pm
PHE-15
Astronomical Measurements (Measurement of Distance and Brightness)
9-00-9.30 pm
BPHE-101
Rotating Frames of Reference
9.00-9.30 pm
PHE-15
Astronomical Measurements (Measurement of Mass, Temperature and Time)
8.30-9.00 am
PHE-10
Logic Gates
January 2014 05-01-14 (Sun) 12-01-14 (Sun) 19-01-14 (Sun) 21-01-14 (Tues) February 2014 02-02-14 (Sun) 04-02-14 (Tues) 11-02-14 (Tues) March 2014 04-03-14 (Tues) 11-03-14 (Tues) 16-03-14 (Sun) 18-03-14 (Tues) April 2014 06-04-14 (Sun) 13-04-14 (Sun) May 2014 11-05-14 (Sun) 13-05-14 (Tues)
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TENTATIVE SCHEDULE FOR PHYSICS STUDENTS ON DD1 (National Network) JULY 2013 TO MAY 2014 Time: 6.00 AM to 6.30 AM July 2013
PHE-10
Operational Amplifier
PHE-02
Coupled Oscillations
PHE-10
Transistor Configuration
PHE-06
Thermodynamics in Action
PHE-15
Exploring the Night Sky
PHE-13
Introduction to Crystal Structure
08-07-13 August 2013 12-08-13 September 2013 09-09-13 October 2013 14-10-13 November 2013 11-11-13 January 2014 13-01-14 February 2014
BPHE-101
Ghurni Nirdesh Tantra (Hindi)
10-02-14 March 2014
PHE-15
The Milky Way
PHE-10
Semiconductor Diode
PHE-15
On the Trail of Stars
10-03-14 April 2014 14-04-14 May 2014 12-05-14 * Second Monday of every month
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