Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section.

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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 SCES2230/SCEP2230 : KIMIA FIZIK II PHYSICAL CHEMISTRY II April/Mei 2010 April/May 2010 MASA : 2 jam TIME : 2 hours ARAHAN KEPADA CALON : INSTRUCTIONS TO CANDIDATES : Kertas soalan ini mengandungi Bahagian A, B dan C. This paper consists of Section A, B and C. Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section. (Kertas soalan ini mengandungi 11 soalan dalam 11 halaman yang dicetak) (This question paper consists of 11 questions on 11 printed pages)

2 SCES2230/SCEP2230/02 Jawab SEMUA soalan dalam bahagian ini. Answer ALL questions in this section. BAHAGIAN A (50 MARKAH) SECTION A (50 MARKS) 1. de Broglie mengandaikan bahawa orbit-orbit yang dibenarkan bagi satu elektron dalam satu atom hidrogen diberi oleh keadaan bahawa satu nombor bulat n panjang gelombang de Broglie secukupnya mengelilingi ukur lilit orbit tersebut. Tunjukkan bahawa keadaan ini membawa kepada keadaan pengkuantuman Bohr keatas momentum sudut. de Broglie hypothesized that the allowed orbits for an electron in a hydrogen atom are given by the condition that an integral number n de Broglie wavelengths fit around the circumference of the orbit. Show that this condition leads to the Bohr quantization condition on angular momentum. (10 markah/ marks) 2. Dapatkan ungkapan titik pertukaran klasikal bagi pengayun harmonik satu dimensi daripada segi v, m, h, dan k. Namakan proses apabila pengayun harmonik melalui titik ini. Find the expression for the classical turning points for a one-dimensional harmonic oscillator in terms of v, m, h, and k. Name the process when the harmonic oscillator passes through these points? (10 markah/ marks) 3. Satu zarah dihadkan di dalam satu kotak kubik dengan panjang tepi a dan dengan V = 0 di dalam kotak tersebut. Zarah itu adalah dalam keadaan dasar. Tentukan samada zarah tersebut berada dalam satu fungsi eigen bagi atau tidak. Berikan alasan untuk menyokong jawapan anda. A particle is confined in a cubic box with edge of length a and with V = 0 inside the box. The particle is in its ground state. Determine whether or not the particle is in an eigenfunction of. Give reasons to support your answer. (5 markah/ marks)

3 SCES2230/SCEP2230/03 4. Dengan menggunakan perwakilan matriks bagi operator-operator spin, sahkan hubungan komutasi di bawah. Using the matrix representation of the spin operators, verify the commutation relation below. [ ] = Tafsirkan keputusan di atas dari segi sifat-sifat fizikal yang boleh dilihat bagi spin elektron. Interpret the result above in terms of physical observable properties of electron spin. (10 markah/marks) 5. Kira kebarangkalian bagi satu elektron yang diterangkan oleh fungsi gelombang atom hidrogen 1s, yang boleh ditemui dalam lingkungan satu jejari Bohr dari nukleus. Calculate the probability that an electron described by a hydrogen atomic 1s wave function will be found within one Bohr radius of the nucleus. (15 markah/marks)

4 SCES2230/SCEP2230/04 Jawab SEMUA soalan dalam bahagian ini. Answer ALL questions in this section. BAHAGIAN B (25 MARKAH) SECTION B (25 MARKS) 6. Apakah kelajuan molekul dengan nilai v x = 100 ms -1, v y = 200 ms -1 dan v z = 300 ms -1, seterusnya kira tenaga kinetik translasinya dalam fasa gas pada 25 o C. What is the speed of molecule with v x = 100 ms -1, v y = 200 ms -1 and v z = 300 ms -1, then calculate its mean translational kinetic energy in a gas at 25 o C. 7. Kajian penguraian sebatian N 2 O 5, (4 markah/ marks) 2N 2 O 5 = 4NO 2 + O 2 dijalankan dengan mengukur kepekatan oksigen dengan masa didapati bahawa d[ O ] pada tekanan dan suhu malar, tindak balas menghala dt 4 s 1 N O 2 5 sepenuhnya ke kanan. Apakah nilai separuh-hayat tindak balas ini dalam keadaan tersebut? The decomposition of N 2 O 5, 2N 2 O 5 = 4NO 2 + O 2 is studied by measuring the concentration of oxygen as a function of time, and is found that d[ O2 ] 4 1 at constant pressure and temperature, the s N2O5 dt reaction goes completely to the right. What is the half life of the reaction under these conditions? (4 markah/ marks)

5 SCES2230/SCEP2230/05 8. Satu tindak balas telah dijalankan dalam larutan organik lengai pada suhu bilik. Perkembangan tindak balas diikuti dengan mengunakan serapan optikal pada 350 nm. Data berikut telah diperolehi. A reaction has been studied in an inert organic solvent at room temperature. The progress of reaction has been monitored by the optical absorption at 350 nm. The following data are obtained. t(s) Abs Anggapkan tindak balas adalah tertib pertama, kira pemalar tindak balas. Assuming the reaction is first order, calculate the rate constant. (8 markah/ marks) 9. Hidrolisis sebatian CH 3 (CH 2 ) 6 CH 2 -Cl pada suhu berbeza memberi pemalarpemalar kadar spesifik yang berikut, The hydrolysis of CH 3 (CH 2 ) 6 CH 2 -Cl at different temperatures gave the following specific rate constants, T, o C k, s (a) lakar log k melawan 1/T. Plot log k against 1/T. (b) Kira tenaga pengaktifan bagi tindak balas. Calculate activation energy of the reaction. (c) Tentukan faktor pra-eksponen. Determine the pre-exponential factor. (9 markah/ marks)

6 SCES2230/SCEP2230/06 BAHAGIAN C (25 MARKAH) SECTION C (25 MARKS) Jawab SATU (1) soalan sahaja dalam bahagian ini. Answer ONE (1) question only in this section. 10. (a) Terbitkan persamaan Gibbs du = TdS PdV dan nyatakan keadaankeadaan proses bagi penerbitan tersebut. Tunjukkan kaitan Maxwell yang mungkin daripada persamaan ini. Derive the Gibbs equation du = TdS PdV and state the conditions of the process for the derivation. Show what is the possible Maxwell relation from this equation. (b) Bermula dari persamaan Gibbs dalam (a) tunjukkan bahawa dimana dan. Tunjukkan bahawa untuk gas unggul. Starting from the Gibbs equation in (a) show that where and. Show that for an ideal gas. (c) Lakarkan graf lawan suhu, T, untuk sistem komponen tunggal meliputi tiga fasa dan terangkanmengapa graf mengambil bentuk seperti yang dilukis. Apa akan terjadi kepada takat beku jika tekanan sistem ditingkatkan yang mana dan tandakan ini di atas graf. Draw the graph of versus temperature, T for a single component system covering the three phases and explain why the graph takes the form as drawn. What will happen to the melting point if the pressure of the system is increased such that and indicate this on the graph. (25 markah/ marks)

7 11. (a) Bermula dari dh = TdS + VdP, terbitkan ungkapan SCES2230/SCEP2230/07 dimana pekali Joule Thomson,. Akhirnya, tentukan nilai pekali gas unggul. Andaikan kuantiti molar. Starting from dh = TdS + VdP, derive the expression whereby the Joule Thomson coefficient,. Finally, determine the value of the coefficient for an ideal gas. Assume molar quantities. (b) Apa itu fugasiti? Terbitkan ungkapan dimana adalah pekali fugasiti dan Z ialah faktor kemampatan. What is fugacity? Derive the expression where is the fugacity coefficient and Z is the compressibility factor. (c) Untuk air, ialah kj mol -1 dan takat didih biasa ialah K. Hitungkan takat didih air di atas gunung di mana tekanan barometer biasa ialah 380 Torr. For water, is kj mol -1 and the normal boiling point is K. Calculate the boiling point for water on the top of the mountain where the normal barometric pressure is 380 Torr. (d) Terangkan sejelas mungkin sebutan kuantiti separa molar dengan memberikan satu contoh sebagai ilustrasi anda. Explain as clearly as possible the term partial molar quantity giving an example for your illustration. (25 markah/ marks)

8 FUNGSI-FUNGSI MATEMATIK DAN FORMLA-FORMULA. MATHEMATICAL FUNCTIONS AND FORMULAS. SCES2230/SCEP2230/08

9 SCES2230/SCEP2230/09

10 SCES2230/SCEP2230/10

11 ~~~~~0000~~~~~ SCES2230/SCEP2230/11

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