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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 2015/2016 : SEMESTER 2 ACADEMIC SESSION 2015/2016 : SEMESTER 2 SCES1101 : MATEMATIK ASAS UNTUK KIMIA BASIC MATHEMATICS FOR CHEMISTRY Jun 2016 June 2016 Masa : 2 jam Time : 2 hours ARAHAN KEPADA CALON: INSTRUCTION TO CANDIDATES: Jawab SEMUA soalan. Answer ALL questions. (Kertas soalan ini mengandungi 11 soalan dalam 6 halaman yang dicetak) (This question paper consists of 11 questions on 6 printed pages)

2 1. Hamparan berikut memaparkan ukuran zarah halus di udara oleh seorang ahli kimia atmosfera diperolehi daripada enam stesen pensampelan di sepanjang sebuah lebuhraya. The following spreadsheet displays the measurements of fine particulate matter in the air by an atmospheric chemist obtained from six sampling stations along a highway. A B C D E F G H 1 x / g m x 2 (x x ) 2 (a) Hitungkan purata, median, sisihan piawai dan ralat piawai bagi ukuran tersebut. Calculate the mean, median, standard deviation and standard error of the measurements. Anggarkan selang keyakinan 95% bagi nilai purata. Diberikan; Estimate the 95% confidence interval for the mean value. Given that; t ν=4 = 2.776,t υ=5 = 2.571, t υ=6 = 2.447&t υ=7 = (c) Tuliskan fungsi EXCEL bagi pengiraan purata, x, di H2 dengan mengunakan rujukan sel yang sesuai. Write the EXCEL functions for the calculation of mean, x, in H2 using appropriate cell references. (d) Tuliskan formula EXCEL bagi pengiraan sisihan kuasa dua, (x x ) 2 di B2. Formula ini mesti berupaya untuk mengembalikan nilainilai yang sesuai semasa disalin dari sel C2 sampai sel G2 Write an EXCEL formula for the calculation of deviation square, (x x ) 2, in B2. This formula must able to return appropriate values when reproduced from cell C2 to cell G2. (12 markah/marks) 2. Pertimbangkan satu sistem dengan N zarah dengan jumlah tenaga E di mana n 1 zarah berada pada keadaan tenaga ε 1, n 2 zarah pada keadaan tenaga ε 2, dan sebagainya. Jumlah cara zarah tersebut dapat diagihkan di antara keadaan zarah ialah Consider a system of N particles with total energy E where n 1 particles in energy state ε 1, n 2 particles in energy state ε 2, and so on.the total ways of the particles can be distributed among the particle states is Ω = N! n 1! n 2! n k! 2/6

3 DenganPenghampiran Sterling, tunjukan bahawa With Sterling s Approximation, show that ln Ω = N ln N n i ln n i k i (6 markah/marks) 3. Pemalar dielektrik untuk suatu larutan cair molekul berkutub yang diukur pada frekuensi ω bagi medan elektrik ulang-alih yang berbeza pada masa τ diberikan oleh fungsi kompleks berikut; The dielectric constant of a dilute solution of polar molecules measured at a frequency ω of an alternating electric field which varies over time τ is given by following complex function; ε + iε = A + B C(1 + iωτ) di mana parameter A, B dan C adalah pemalar. Tunjukkan bahawa bahagian nyata ialah where the parameters A, Band C are constants. Show that the real part is B ε = A + C(1 + ω 2 τ 2 ) 4. Persamaan matriks Huckel bagi etena adalah The Hückel matrix equation for ethene is α E β ( β α E ) (c 1 c ) = 0 2 di mana α, β, c 1 dan c 2 adalah parameter kepada model dan E adalah tenaga yang sepadan dengan orbital molekul. where α, β, c 1 and c 2 are parameters of the model and E is the energy corresponding to the molecular orbital. (a) Untuk penyelesaian bukan-sifar, tuliskan penentu secular Hückel dalam sebutan x, di mana For non-zero solution, write the Hückel secular determinant in terms of x, where x = α E β 3/6

4 Selesaikan penentuan secular tersebut dan tunjukkan bahawa dua tenaga terkuantum ialah Solve the secular determinant and show that the two quantized energies are E 1 = α + β & E 2 = α β (c) Tentukan jurang tenaga antara E 1 dan E 2. Determine the energy gap between E 1 and E 2. (d) Tunjukkan bahawa vektor-eigen yang sepadan dengan E 1 mesti mempunyai Show that the eigenvector corresponding to E 1 must have c 1 = c 2 (e) Tunjukkan bahawa vector-eigen ternormal yang sepadan dengane 1 ialah Show that the normalized eigenvector that corresponds to E 1 is c 1 = 1 2 (1 1 ) (18 markah/marks) 5. Penyerapan spektroskopi, A, bagi suatu sampel adalah berkadar dengan magnitud komponen dipole yang selari dengan arah polarisasi sinaran yang digunakan. Pertimbangkan sampel yang mempunyai momen dwikutub (μ) seperti di bawah: Spectroscopic absorbance, A, of a sample is proportional to the magnitude of the component of the dipole which is parallel to the direction of polarization of the radiation used. Consider a sample that has a dipole moment (μ) as below, y μ = 2.5D 31 x (a) Tuliskan μ dalam sebutan vektor unit Cartesian i, j dan k. Write the μ in terms of the Cartesian unit vectors i, j and k. 4/6

5 Kirakan nisbah penyerapan bagi sampel tersebut ketika sinaran adalah terpolarisasi secara menegak kepada ketika ia terpolarisasi secara mendatar. Calculate the ratio of absorbances of the sample-when the radiation is vertically polarized to when it is horizontally polarized. (6 markah/marks) 6. Seorang ahli kimia industri menghasilkan dm 3 baja dalam satu tindak balas. An industrial chemist produces dm 3 of fertilizer in a reaction. (a) Berapakah jumlah itu dalam m 3? How much is that in m 3? Jika tindak balas tersebut memerlukan tiga langkah. Langkah pertama memberikan hasil 66%, langkah kedua memberikan hasil 50% dan langkah ketiga memberikan hasil 95%. Berapakah peratus keseluruhan hasil sintesis tersebut? If the reaction requires 3 steps. The first step gives a 66% yield, the second step gives a 50% yield and the third step gives a 95% yield. What is the overall percentage yield for this synthesis? 7. Persamaan gas unggul adalah pv = nrt. Cari: The ideal gas equation is pv = nrt. Find: (a) ( dv dt ) p ( dt dp ) V 8. Selesaikan persamaan pembezaan yang berikut untuk mendapatkan [A] sebagai satu fungsi t. Solve the following differential equation to find [A] as a function of t. v = d[a] dt = k 2[A] 2 5/6

6 9. Dalam hukum taburan Maxwell-Boltzmann, peluang untuk menjumpai satu partikel dengan kelajuan v (per unit isipadu) diberi sebagai; In the Maxwell-Boltzmann distribution, the likelihood of finding a particle with a particular velocity v (per unit volume) is given by; n(v) dv = 4πN V ( m 2πkT ) 3 2 v 2 e mv2 2kT dv Tunjukkan kelajuan yang paling berkemungkinan bagi satu partikel dalam hukum Maxwell-Boltzmann adalah; Show that the most probable speed for a particle in a Maxwell-Boltzmann distribution is; 10. Persamaan van der Waals The van der Waals equation of states v mp = 2kT m (10 markah/marks) P = RT V b a V 2 Dapatkan jumlah pembezaan, dp, diberi a, b dan R adalah pemalar. Find the total differential,dp, given that a, b and R are constants. 11. Selesaikan Solve T f T f ] T 1 T 2 S = mc p [ dt T + dt T TAMAT END 6/6

### (Kertas soalan ini mengandungi 11 soalan dalam 6 halaman yang dicetak) (This question paper consists of 11 questions on 6 printed pages)

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2015/2016 : SEMESTER 2 ACADEMIC SESSION 2015/2016 : SEMESTER

### (Kertas soalan ini mengandungi 9 soalan dalam 7 halaman yang dicetak) (This question paper consists of 9 questions on 7 printed pages)

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

### (Kertas soalan ini mengandungi 4 soalan dalam 6 halaman yang dicetak) (This question paper consists of 4 questions on 6 printed pages)

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 009/010 : SEMESTER ACADEMIC SESSION 009/010 : SEMESTER SCES1101

### (Kertas soalan ini mengandungi 5 soalan dalam 8 halaman yang bercetak) (This question paper consists of 5 questions on 8 printed pages)

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2016/2017 ACADEMIC SESSION 2016/2017 : SEMESTER I : SEMESTER

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

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

### SCES2242/ SCES2434 : KIMIA POLIMER/ KIMIA POLIMER I POLYMER CHEMISTRY/ POLYMER CHEMISTRY I

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2014/2015 : SEMESTER 2 ACADEMIC SESSION 2014/2015 : SEMESTER

### SCES1200 : PRINSIP-PRINSIP KIMIA PRINCIPLES OF CHEMISTRY

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2010/2011 : SEMESTER 1 ACADEMIC SESSION 2010/2011 : SEMESTER

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

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

### (Kertas ini mengandungi 6 soalan dalam 9 halaman yang dicetak) (This question paper consists of 6 questions on 9 printed pages)

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

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

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

### SCES2260 : KAEDAH SPEKTROSKOPI DALAM KIMIA ORGANIK SPECTROSCOPIC METHODS IN ORGANIC CHEMISTRY

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

### Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Answer the questions according to the instructions given in each section.

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

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

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

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

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

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

UNIVERSITY OF MALAYA UNIVERSITI MALAYA EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE WITH EDUCATION PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN SESI AKADEMIK 2011/2012 : SEMESTER 2 ACADEMIC

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

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

### (Kertas ini mengandungi 6 soalan dalam 5 halaman yang dicetak) (This question paper consists of 6 questions on 5 printed pages)

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2015/2016 : SEMESTER 1 ACADEMIC SESSION 2015/2016 : SEMESTER

### (Kertas soalan ini mengandungi 6 soalan dalam 9 halaman yang dicetak) (This question paper consists of 6 questions on 9 printed pages)

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

### (Kertas soalan ini mengandungi 3 soalan dalam 11 halaman yang bercetak) (This question paper consists of 3 questions on 11 printed pages)

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

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

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

### (Kertas soalan ini mengandungi 4 soalan dalam 9 halaman yang dicetak) (This question paper consists of 4 questions on 9 printed pages)

UNIVERSITI MALAYA UNIVERSITY F MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATIN FR THE DEGREE F BACHELR F SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATIN FR THE DEGREE

### (Kertas soalan ini mengandungi 6 soalan dalam 8 halaman yang dicetak) (This question paper consists of 6 questions on 8 printed pages)

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

### SCES2250 : SPEKTROSKOPI MOLEKUL & INTERPRETASI MOLECULAR SPECTROSCOPY & INTERPRETATION

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2015/2016 : SEMESTER 1 ACADEMIC SESSION 2015/2016 : SEMESTER

### (Kertas ini mengandungi 4 soalan dalam 5 halaman yang dicetak) (This question paper consists of 4 questions and 5 printed pages)

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCES SESI AKADEMIK 2016/2017 ACADEMIC SESSION 2016/2017 : SEMESTER I : SEMESTER

### SCES2250 : SPEKTROSKOPI MOLEKUL & INTERPRETASI MOLECULAR SPECTROSCOPY & INTERPRETATION

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2014/2015 : SEMESTER 2 ACADEMIC SESSION 2014/2015 : SEMESTER

### SCES1200/ SIX1009 : PRINSIP-PRINSIP KIMIA/ KIMIA AM PRINCIPLES OF CHEMISTRY/ GENERAL CHEMISTRY

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

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

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

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

### (Kertas soalan ini mengandungi 9 soalan dalam 7 halaman yang dicetak) (This question paper consists of 9 questions on 7 printed pages)

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### Answer the questions according to the instructions given in each section. Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian.

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UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2009/2010 : SEMESTER 1 ACADEMIC SESSION 2009/2010 : SEMESTER

### (Kertas soalan ini mengandungi 3 soalan dalam 7 halaman yang bercetak) (This question paper consists of 3 questions on 7 printed pages)

UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2015/2016 : SEMESTER 1 ACADEMIC SESSION 2015/2016 : SEMESTER

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

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

### 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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