課程名稱︰普通化學丙
課程性質︰系訂必修
課程教師︰周必泰
開課學院：醫學院
開課系所︰醫學系
考試日期（年月日）︰990115
考試時限（分鐘）：170
是否需發放獎勵金：是，謝謝
（如未明確表示，則不予發放）
試題 :
醫學系普化丙 General Chemistry (250分)
Final Examination 2010/1//15
A.期中考以前之題目(60 分)
￣￣￣￣￣￣￣￣￣￣￣
A1. In one dimensional wave motion for electron along the x-axis coordinate
where potential energy is assumed to be V=1/2 kx^2 (k 為常數)
write down the corresponding Schrödinger equation for a particle
with mass m , and also write down the Hamiltonian.(10)
A2. For the A4 family, CO2 gas is a prevailing species on the earth, however,
SiO2 gas is rarely observed. Explain.(5) Why life is sustained by
C(carbon) not Si, despite they are in the same family.(5)
A3. OCN- and CNO- are isomers. Write down the most stable Lewis structure
for OCN- and CNO-.(5) Determine and explain which one(OCN- or CNO-) is
a more stable form.(5)
A4. Draw the Lewis structures and geometry for the following molecules:
a.XeF2 b.O3 c.I3- d.BeCl2 e.KrF4.(10) What type of hybridization
orbital for Xe in XeF2, center I in I3- and Kr in KrF4.(5)
A5. Draw MOs of B2 and O2 and Explain why both B2 and O2 are paramagnetic.
(10) Arrange the bond order of O2, O2-,O2+ by increasing trend
(由小到大)(5)
B.期中考以後之題目(190 分)
￣￣￣￣￣￣￣￣￣￣￣￣
B-1. Definition and Explaination (70 分)
B-1-1. (a)exothermic process,(b)endothermic process,(c)endergonic process,
(d)exergonic process. (10)
B-1-2. First, Second and Third law of thermodynamics. (5)
B-1-3. Explain the differences between Schottky and Frenkel defects. (5)
B-1-4. What does state function mean? (5) Which of the following functions
are state functions:(a)PV work,(b)heat,(c)entropy,(d)free energy
(e)electrical work. (5)
B-1-5. Which of the following compounds are with the higher standard entropy
value than O2?(a)H2O,(b)He,(c)CH3COOH,(d)CO2,please explain. (5)
B-1-6. (a)How many rotations and vibrations for He,O2,H2O,CO2 and O3. (5)
(b)These rotation and vibration may not be detected by light
absorption. Give the general requirement for the observation of
rotational and vibrational spectra. (5)
(c)Among these five molecules which have both rational and
vibrational spectra? (5)
B-1-7. (Chapter 16, pages 833-835)
(1)Give a general definition of nanoscience (or nanotechnology) (10)
(2)What is the general size of a cell? Or the diameter of blood
vessels(血管)?, to which the nanoparticles can be applied. (5)
(3)Give the explaination of "quantum dots"(see page 835) (5)
Questions(120 分)
B-2. Silver crystallizes in a cubic closest packed structure shown below.The
radius of a silver atom is 1.44埃, calculate the density of solid
silver.(molecular weight of silver = 107.9 g/mol) (10)
( 圖為一cubic closest packed structure )
B-3. (習題 chapter 16-51 衍生)
(a)Using the band gap theory to explain the insulator, conductor,
semiconductor, p-type semiconductor and n-type semmiconductor. (10)
(b)Upon increasing temperature, predict the trend of conductivity
(increase of decreade) of conductor and semiconductor.Explain. (5)
B-4. (習題 chapter 16-95 衍生) Compare and contrast the phase diagrams of
water and carbon dioxide(CO2) shown below. (圖為兩者之三相圖)
(1)Why doesn't CO2 have a normal boiling point (meaning a boiling
point at 1 atm), whereas water does? (5)
(2)Why are the slopes different the solid/liquid lines in the phase
diagrams between H2O and CO2? (5)
(3)Rationalize(合理化,或翻成解釋) why the critical temperature for
H2O ia greater than that for CO2. (5)
B-5. (a)由 G=H-TS 的定義，試導出 G 和 pressure(P) and temperture(T) 的相關性
為 dG = VdP - SdT, in which V denotes the volumn and S is system
entropy at 25度C. (10)
(b)利用你學的微積分，試導出
/δS \ /δV \
|──| = －|──| (5) (這裡δ指偏導數符號 partial)
\δP /T \δT /P
(c)On the above vasis and common sense, explain why you need to make
diamond from graphite at high temperature and high pressure, giving
diamond 0
CO2 (g) → C(s) + O2 (g) △G = 397kJ
graphite 0
CO2 (g) → C(s) + O2 (g) △G = 394kJ at 25度C. (5)
B-6. (Chapter 10-85)
Consider 1.00 mol of CO2(g) at 300K and 5.00atm. The gas expands until
the final pressure is 1.00atm. For each of the following conditions
describing the expansion calculate q, w, and △E. Cp for CO2 is
37.1 JK^(-1)mol^(-1), and assume that gas behaves ideally. (10)
(a) The expansion occurs isothermally and reversibly.
(b) The expansion occurs adiabatically and rebersibly.
B-7. 化合物如下: (15)
O
∥
CH3 ─ CH2 ─ C ─ CH3
￣￣ ￣￣ ￣￣
a b c
(a)其中氫原子在NMR中可以區分出 a, b 和 c 三群，請問 a 和 c 哪一個
chemical shift 較大? 請務必解釋. (5)
(b)請解釋 a, b, c 各有幾個因為 spin-spin coupling 分裂的吸收峰? (5)
(c)NMR的英文全名為何? 那麼 MRI 呢? (5)
B-8. Please fill in the sign (>0 or <0) of △S and △H (15)
Sign of △S and △H Results
Spontaneous at all tempertures.
￣￣￣￣￣￣￣￣￣￣ Spontaneous at high tempertures.
￣￣￣￣￣￣￣￣￣￣ Spontaneous at low tempertures.
￣￣￣￣￣￣￣￣￣￣ Process not spontaneous at any temp.
￣￣￣￣￣￣￣￣￣￣
B-9. (挑戰題, 14-78, 沒列入習題)
For each chemical formula below, an NMR spectrum is described,
including relative overall area (intensities) for the various signals
given in the parentheses (括號). Draw the structure of a compound
having the specific formula that would give the described NMR spectrum.
(20)
a. C2 H3 Cl3:NMR has one singlet signal
b. C3 H6 Cl2:NMR has a triplet(4) and a quintet(2) signal
c. C3 H6 O2:NMR has a singlet(1), a quartet(2), and a triplet(3) signal
d. C5 H10 O:NMR has a heptet(1), a singlet(3), and a doublet(6) signal
e. C3 H6 O:NMR has a triplet(3), a quintet(2), and a triplet(1) signal
其中()內數字表示其氫原子數，即積分所得
而 quartet 為四裂 quintet 為五裂 heptet 為七裂
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