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

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1 UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE WITH EDUCATION SESI AKADEMIK 2009/2010 : SEMESTER 2 ACADEMIC SESSION 2009/2010 : SEMESTER 2 SCES3130/SCEP3130 : Kimia Fizik III Physical Chemistry III April/Mei 2010 April/May 2010 Masa : 2 jam Time : 2 hours ARAHAN KEPADA CALON INSTRUCTIONS TO CANDIDATES : Kertas soalan ini mengandungi Bahagian A dan B. This examination paper consists of sections A and B. Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instruction given in each section. Sila nnyatakan nombor soalan dihadapan buku jawapan mengikut turutan. Indicate question number on the front page of answer book in the same order as answer in the book(s). Jawaban boleh diberi sama da dalam Bahsa Melayu atau Bahasa Inggeris. Answer can be written in either Malay or English. (Kertas soalan ini mengandungi 6 soalan dalam 8 halaman yang dicetak) (This question paper consists of 6 questions on 8 printed pages)

2 SCES3130/SCEP3130/02 BAHAGIAN/SECTION A (25 markah/marks) Jawab SEMUA soalan. Answer ALL questions. Simbol yang digunakan mempunyai maksud yang sama seperti diberikan dalam kuliah. The symbols used have the same meaning as defined during the lectures. 1. (a) (i) Apakah yang dimaksudkan dengan makromolekul? Apakah perbezaan antara makromolekul dan polimer? What do you understand by the term macromolecule? What is the difference between a macromolecule and a polymer? (ii) Kelaskan polimer mengikut struktur molekul. Classify polymers according to their molecular structure. [7 markah/marks] (b) (i) Apakah yang dimaksudkan berat molekul polimer? Berapakah cara berat molekul polimer boleh ditakrifkan? What do you understand by the molecular weight of polymer? How many ways can the molecular weight of polymer be defined? (ii) Bincangkan penentuan berat molekul polimer menggunakan Kromatografi Penelapan Gel. Discuss the determination of the molecular weight of a polymer by Gel Permeation Chromatography (GPC). [8 markah/marks]

3 SCES3130/SCEP3130/03 (c) Jawab mana dua (2) dari berikut Answer any two (2) of the following: (i) Bincangkan proses pemelarutan polimer. Discuss the dissolution process of a polymer. (ii) Poli(vinil asetat) [-CH 2 -CH(CH 3 )COO - )} dan poli(vinil alkohol) [-CH 2 - CH-(OH)-] mempunyai ketumpatan 1.19 and 1.29 g cm -3 masingmasing. Kirakan parameter keterlarutan kedua-dua polimer ini,dan komen tentang keterlarutan relatifnya dalam air. Nilai pemalar tarikan molar (J 1/2 cm 3/2 mol -1 ) bagi CH 3 ialah 420, -CH 2 ialah 280, CH atau H ialah 140, -COO - ialah 512 dan OH ialah 754. Poly(vinyl acetate) [-CH 2 -CH(CH 3 )COO - )} and poly(vinyl alcohol) [- CH 2 -CH-(OH)-] have densities of 1.19 and 1.29 g cm -3 respectively. Calculate their solubility parameters, and comment about their relative solubility in water. The molar attraction constant (J 1/2 cm 3/2 mol -1 ) value for CH 3 is 420, -CH 2 is 280, CH or H is 140, -COO - is 512 and OH is 754. (iii) Tulis nota mengenai kegunaan-kegunaan industri dan aplikasi latek getah asli. Write a note on the industrial uses and applications of natural rubber latex. [10 markah/marks]

4 SCES3130/SCEP3130/04 BAHAGIAN/SECTION B (30 markah/marks) Jawak SEMUA soalan dalam bahagian ini. Answer ALL questions in this section. 2. Diberi bahagian ruang satu fungsi gelombang penghampiran untuk satu ion Li + : (a) (b) (c) Tuliskan satu kemungkinan bahagian spin bagi fungsi gelombang ini. Apakah tenaga penghampiran yang mungkin ada bagi keadaan ini (dalam unit atomik) jika terma 1/r 12 di dalam operator Hamiltonian tidak wujud? Dapatkan nilai eigen untuk 2, operator bagi kuasa dua jumlah momentum sudut spin, tanpa mengoperasikan operator tersebut dengan fungsi gelombang. Given the following space part of an approximate wave function for a Li + ion: (a) Write a possible spin part for this wave function. (b) What approximate energy would this state have (in atomic unit) if the 1/r 12 term in the Hamiltonian operator did not exist? (c) Find the eigenvalue for 2, the operator for the square of total spin angular momentum, without operating the operator with the wave function. (8 markah/marks)

5 SCES3130/SCEP3130/05 3. Tuliskan Hamiltonian bagi satu molekul He 2. Pertimbangkan Hamiltonian ini sebagai titik permulaan dan pertimbangkan penghampiran Born-Oppenheimer, jelaskan secara ringkas bagaimana untuk menentukan tenaga penceraian (D 0 ) bagi keadaan eletronik dasar He 2. Write the Hamiltonian for a He 2 molecule. Considering this Hamiltonian as a starting point and assuming the Born-Oppenheimer approximation, explain briefly how to determine the dissociation energy (D 0 ) for the ground electronic state of He 2. (8 markah/marks) 4. Kirakan tenaga-tenaga orbital molekul Hückel bagi etena. Dapatkan orbitalorbital molekul pengikatan dan anti pengikatan yang mewakili tenaga-tenaga yang dikira tersebut. Calculate the Hückel molecular orbital energies of the ethene. Find the bonding and the antibonding molecular orbitals corresponding to these calculated energies. (14 markah/marks)

6 SCES3130/SCEP3130/06 BAHAGIAN/SECTION C (25 markah/marks) Jawab semua subsoalan dalam bahagian ini. Answer all subquestions of this section. { k B = JK } 5. (a) Takrifkan fungsi sekatan untuk sistem yang mempunyai paras tenaga dengan kegeneratan masing-masing dan secara ringkas huraikan mengapa fungsi ini begitu penting dalam menentukan keadaan keseimbangan termodinamik bagi mana-mana sistem. Define the partition function for a system which has energy levels with corresponding degeneracies. and briefly explain why this function is pivotal in determining the equilibrium thermodynamics of any system. (10 markah/marks) (b) Tulis ungkapan bagi entropi Boltzmann entropy untuk satu sistem dengan darjah faktor pengaturan W. Dengan menganggap elektron sebagai satu subsistem, satu sistem terdiri daripada 10 elektron tak terbezakan ditempatkan dalam 4 paras tenaga yang dipisahkan oleh J, agar paras-paras ini mempunyai tenaga. Nombor penghunian keadaan asas bagi 10 elektron ini ialah masingmasing dan mereka dipaksa berada dalam keadaan nombor penghunian tersebut. Bentuk yang sesuai bagi pengiraan W bagi sistem ini ialah dimana seperti biasa dan ialah jumlah keseluruhan elektron dan ialah nombor penghuni bagi paras tenaga i. Write the expression for the Boltzmann entropy for a system involving the degree of arrangement factor W. Considering the electron as a subsystem, a system consists of 10 indistinguishable electrons placed in 4 energy levels that are separated by J, so that the levels have energies. The ground state occupation numbers of the 10 electrons for these energy levels are respectively and they are refrained to remain with these occupational numbers only. The form suitable to compute the number of arrangements is given by where as usual and is the total number of electrons and is the occupational number for the energy level.

7 SCES3130/SCEP3130/07 (i) Hitungkan nilai yang ditanda sebagai bagi keadaan asas sistem tersebut di atas, dan demikian hitungkan entropi bagi sistem keadaan asas itu. Compute the value of denoted for the ground state above and hence compute the entropy for the ground state. (ii) Keadaan paras asas diuja oleh satu foton dimana hanya satu elektron ditingkatkan dari paras bawah ke paras yang lebih tinggi dalam sistem 4 paras ini, iaitu, tenaga berubah sebanyak. Tulis semua kemungkinan keadaan terujah dalam bentuk bagi setiap kes yang mungkin dimana umpamanya keadaan asas ialah. The ground state is excited by a photon so that only one electron is promoted from a lower to a higher energy level of the 4 level system, i,e, the energy change is by amount. Write down the possible excited state occupational numbers in the form for each of the possibilities where for instance the ground state are. (iii) Tentukan configurasi teruja dalam (b) yang mempunyai entropi yang tertinggi dengan meng hitungan bagi setiap konfigurasi sebagai faktor (iaitu dalam bentuk pecahan ) dan hitungkan entropi untuk keadaan teruja yang mempunyai entropi yang paling tinggi. Determine the excited state configuration of (b) with the highest entropy by computing for each of the configurations in terms of the factor (i.e. in terms of fractions of and compute the entropy for that state of highest entropy. (iv) Dengan penghampiran keadaan sistem yang mempunyai entropi tertinggi ialah sama dengan keadaan keseluruhan entropi bagi sistem teruja, hitungkan perubahan tenaga bebas Helmholtz bagi peralihan di atas dari keadaan asas ke keadaan teruja pada suhu 298 K. Under the approximation system condition that the state with the highest entropy would be the entropy of the overall excited state, calculate the change in Helmholtz free energy for the above transition to the excited state at 298 K. { - } (16 markah/marks)

8 SCES3130/SCEP3130/08 BAHAGIAN/SECTION D (20 markah/marks) Jawab semua subsoalan dalam bahagian ini. Answer all subquestions of this section. 6. (a) Tulis secara ringkas tentang topik-topik berikut Write briefly on the following topics: (i) (ii) Berkalaan tindakbalas complex Periodicity of complex reactions Teori Peralihan Keadaan (teori Pengaktifan Komplex) Transition state theory (Activated Complex theory) (iii) Tindakbalas ionik Ionic reactions (9 markah/marks) (b) Bagi tindakbalas fasa gas For the gas phase reaction prafaktor bagi persamaan Arrhenius diberi sebagai dimana ialah kemolekulan tindakbalas. Pada K, -. Apakah kemolekulan tindakbalas ini jikalau tindakbalas tersebut di atas dianggap sebagai tindakbalas asas. Tetapkan penukaran entropi tindakbalas keadaan peralihan pada suhu yang dinyatakan dan komen tentang tanda ungkapan ini. The prefactor for the Arrhenius equation is given by where is the molecularity of the reaction. At 350 K, - -. What is the molecularity of this reaction if the above reaction is considered elementary? Determine the standard entropy change of the transition state at the stated temperature and comment on the sign of this term. { *************************** (11 markah/marks) }

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