EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE WITH EDUCATION PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN

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1 UNIVERSITY OF MALAYA UNIVERSITI MALAYA EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE WITH EDUCATION PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN ACADEMIC SESSION 2012/2013 : SEMESTER 1 SESI AKADEMIK 2012/2013 : SEMESTER 1 SCES3130/SCEP3130 : Physical Chemistry III Kimia Fizik III January 2013 Januari 2013 Time : 2 hours Masa : 2 jam INSTRUCTIONS TO CANDIDATES: ARAHAN KEPADA CALON: This examination paper consists of sections A, B and C. Kertas ini mengandungi Bahagian A, B dan C.. Questions should be answered according to the instruction given in each section Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. (This question paper consists of 5 questions on 9 printed pages) (Kertas ini mengandungi 5 soalan dalam 9 halaman yang dicetak)

2 SCES3130/SCEP3130/02 SECTION A (25 marks) BAHAGIAN A (25 markah) Answer ALL questions. Jawab SEMUA soalan The symbols used have the same meaning as defined during the lectures. Simbol yang digunakan mempunyai maksud yang sama seperti diberikan dalam kuliah. 1. (a) (i) What do you understand by macromolecule and polymer? Apakah yang anda faham tentang makromolekul dan polimer? (ii) Classify the polymers according to the origin and give the example of each class. Kelaskan polimer mengikut asal dan berikan contoh bagi setiap kelas. (7 marks/markah) (b) (i) Why is the molecular weight of polymer considered to be the average molecular weight? Draw a typical molecular weight distribution spectrum (curve) and show the different average molecular weight on the spectrum. Mengapakah berat molekul polimer dianggap sebagai berat purata molekul polimer? Lukiskan satu tipikal spektrum tentang taburan berat molekul (lengkung) dan tunjukkan perbezaannya dengan berat molekul purata pada spektrum. (ii) Discuss the thermodynamic aspects of polymer dissolution. Bincangkan aspek termodinamik tentang pelarutan polimer. (8 marks/markah)

3 SCES3130/SCEP3130/03 (c) Answer any two (2) of the following: Jawab mana-mana dua (2) dari berikut (i) Molecular weight of polyethylene (PE) is 42,000. Calculate the contour length, extended chain length, root mean square (rms) endto-end distance and rms radius of gyration of PE, where the carbon tetrahedral angle is 109 o 30 and C _ C bond length is nm. Berat molekul polietilena (PE) adalah Kirakan panjang kontur, panjang rantai dilanjutkan, punca purata ganda dua (rms) jarak hujung-ke-hujung dan jejari rms legaran bagi PE, di mana sudut karbon tetrahedral adalah 109 o 30' dan panjang ikatan C-C adalah nm. (ii) Discuss the effect of molecular weight on the physical properties of polymer. Bincangkan kesan berat molekul atas sifat fizik bagi polimer. (iii) Write a note on the industrial uses and application of natural rubber latex. Tulis nota mengenai kegunaan industri dan aplikasi bagi lateks getah asli. (10 marks/markah)

4 SCES3130/SCEP3130/04 SECTION B (30 marks) BAHAGIAN B (30 markah) Answer ALL questions. Jawab SEMUA soalan. 2. A two-particle rigid rotor has a reduced mass, M with a dipole moment, in an electric field of strength,. The angle between and is. The distance between the two particles is d with moment inertia Md 2. The Hamiltonian operator for this system is Satu pemutar tegar dua zarah mempunyai jisim terturun M dengan satu momen dwikutub di dalam satu medan elektrik berkekuatan. Sudut diantara dan adalah. Jarak diantara dua zarah tersebut adalah d dengan momen inersia Md 2. Operator Hamiltonian untuk sistem ini adalah Find the expression,, and for the first excited state in terms of M,, d,,, and, appropriately. Similar as, is one of the angles of the spherical polar coordinates, describing the orientation of the two-particle rigid rotor in space. Dapatkan ungkapan,, dan bagi keadaan teruja pertama dalam sebutan-sebutan M,, d,, dan, yang sesuai. Sama seperti, adalah salah satu sudut koordinat kutub sperikal yang menerangkan orientasi pemutar tegar dua zarah dalam ruang. (13 marks/markah) 3. A state in the term 3 P 2 is described by the wavefunction. What is the value of in eigen equation, where is given below ((a)-(f))? (Assume L-S coupling to be valid. If more than one is possible, list them all. Express your answers in terms of ) Satu keadaan dalam term 3 P 2 diterangkan oleh fungsi gelombang. Apakah nilai dalam persamaan eigen, dimana diberi seperti di bawah ((a)-(f))? (Andaikan pengabungan L-S adalah sah. Jika lebih daripada satu kemungkinan, senaraikan kesemuanya. Ungkapkan jawapan-jawapan anda dalam ) (a) (b) (c) (d) (e) (f) (17 marks/markah)

5 SCES3130/SCEP3130/05 SECTION C (45 marks) BAHAGIAN C (45 markah) Answer ALL questions. Jawab SEMUA soalan. 4. (a) Define the word ensemble used frequently in statistical thermodynamics and give two examples together with their properties. Takrif sebutan ensemble yang lazim diguna dalam termodinamik statistik dan berikan dua contoh bersama sifat masing-masing. (6 marks/markah) (b) Choose one of the ensemble and the expression for the most probable distribution for this ensemble. Identify the sum over state and give its limiting properties. Pilih salah satu daripada ensemble tersebut dan berikan ungkapan bagi taburan termungkin. Berikan juga jumlah keadaan dan berikan sifat-sifat penghadannya.. (7 marks/markah) (c) For a linear molecule, the average rotational energy is, Bagi molekul linear, tenaga purata putaran ialah, rot = J ( J + 1 ) h c B Write the expression for its partition function and explain all terms and symbols used. Estimate the partition function for nitrogen gas at the room temperature, whose characteristic temperature, rot is 2.86 K. State ALL your assumptions clearly. Tulis ungkapan bagi fungsi sekatannya dan terangkan semua symbol yang digunakan. Anggar fungsi sekatan gas nitrogen pada suhu bilik, yang suhu penciriannya, rot ialah 2.86 K Nyatakan semua anggapan anda dengan jelas. (12 marks/markah)

6 SCES3130/SCEP3130/06 5. (a) Calculate the particle partition function for a fictitious system of molecules at 80K, in which the accessible energy levels are 0, 2 and 6 quanta; and degeneracies are 1, 3, and 5 respectively. Each quantum is 5.0 x J. Which level is the most highly populated at equilibrium? What fraction of the molecules occupies the most populated level? Assume k= 1.38 x JK -1. Kira fungsi sekatan bagi sistem molekul fiksyen pada 80K, yang mana mempunyai paras tenaga pada 0, 2 and 6 quanta; dan berdegenerasi 1, 3, and 5 masing-masingnya. Setiap kuantum adalah 5.0 x J. Yang manakah paras tenaga yang manakah paling banyak diduduki pada keseimbangan? Apakah peratusan molekul yang menduduki paras ini? Andaikan k= 1.38 x JK -1. (10 marks/markah) (b) Give the assumption in the transition state theory (TST). Using TST, estimate the pre-exponential factors for the following reaction: Nyatakan andaian dalam teori peralihan keadaan (TST). Menggunakan TST, angarkan faktor pra-exponensial bagi tindakbalas berikut: 2NO + Cl 2 2NOCl Given k B T/h s -1,q t 10 8 cm -1,q r 10 and q v 1. Approximation about the geometry of the molecules and the transition state may be helpful. Diberikan k B T/h s -1,q t 10 8 cm -1,q r 10 dan q v 1. Anggaran terhadap geometri bagi molekul-molekul tersebut mungkin berguna. (10 marks/markah)

7 SCES3130/SCEP3130/07

8 SCES3130/SCEP3130/08

9 ****************** SCES3130/SCEP3130/09

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