課程名稱︰普通化學丙
課程性質︰系定必修
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）︰971121
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
General Chemistry Midterm Examination 2008/11/21 (Total Score 200)
1. Definition and Explanation (80%)
1-1 Please write the formula and full name of atom: 砷，磷，氪，鉀，氙
Example: 氧 O oxygen (10)
1-2 Explain ultraviolet catastrophe.(5) Explain Pauli exclusion priciple.(5)
1-3 Light has duality, namely particle like and wave like. Provide one experi-
mental result for each case.(5)
1-4 Give three experimental results that cannot be explained by the classical
mechanics.(5)
1-5 Explain why the molar heat capacity (Cv) of most mono atomic metal is ~3R
at room temperature (Pierre-Louis Dulong and Alexis-Therese Petit rule),
while Cv is ~0 when temperature is close to 0 K.(5)
1-6 Based on standing wave and de Broglie relation briefly explain energy le-
vels have to be quantized when treating the particle motion in a circle as
a wave in a fixed radius r where potential energy = 0.(10)
1-7 In one dimensional vibrational motion for a diatomic molecule AB (with mass
Ma for A atom and Mb for B atom) along the x axis where the potential ener-
gy is assumed to be (1/2)kx^2 (k = force constant), write down the Hamilto-
nian for the Schrodinger equation.(10)
1-8 At 0 K, should the molecule be frozen? If not, explain your answer.(5) Can
you link this question with Heisenberg's uncertainty principle?(5)
1-9 Define hydrogen-like atom(3) and isoelectronic ion(2).
1-10For the A4 family, CO2 gas is a prevailing species on the earth, however,
SiO2 gas is rarely observed. Explain.(5)
1-11Define the electrophilic and nucleophilic reagent.(5) Is BF3 an electrophi-
lic or neucleophilic reagent? Explain.(5)
2.Question(120%)
2-1. For 1s orbital, Ψ1s = [(1/√π)(Z/a0)^(3/2)] [e^(-Zr/a0)], where a0 =
0.529埃, find out the radius for maximum probability for He^+ .(10)
2-2. Draw Lewis structure of XeF2.(5) What type of hybridization orbital for Xe
in XeF2?(5) How many translation, rotation, and vibration motions for
XeF2?(5)
2-3. Calculate the energy per photon (in terms of joule(3) and wave number(5))
and energy per mole of photons (in terms of kcal/mol(5)) for radiation of
wavelength at 400 nm. (h=6.62 x 10^(-34) Js, c=3x10^8 m/s)
2-4. For A1 family (Li, Na, K, Rb and Cs), please predict the trend in reducing
ability in the gas (or in the solid state).(3) However, in aqueous soluti-
on, the order of reducing ability is Li > K > Na. Explain.(2) However, so-
dium and potassium react much more vigourously with water. Explain.(5)
2-5. Assume that the MOs of the OH radicle result from the overlap of 2pz (for
oxygen) and 1s orbital of the hydrogen (the O-H bond lies along the z ax-
is). (15)
a. Draw the MO energy diagram for OH. Place the correct number of elect-
rons in the energy levels.
b. Estimate the bond order for OH.
c. Predict whether the bond order of OH+ is greater than, less than. or
the same as that of OH. Explain.
2-6. 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 mo-
re stable form.(5)
2-7. Order the following species with respect to the carcon-oxygen bond length
(longest to shortest). Explain.(10)
2-8. Based on the MO theory, arrange the following from lowest to highest ion-
ization energy: O, O2, O2-, O2+. Explain your answer.(10)
2-9. According to the NMR spectrum shown below, answer the following questions.
(給了一張NMR的圖)The intensity ratio of a:b:c is calculated to be 3:2:3.
1. Draw the structure of TMS, and uses TMS as a reference?(5)
2. Which of the following compounds is suitable for the above NMR spectr-
um? And assign a, b, and c peaks in the spectrum to the respective hy-
drogen.(10)
1.
H H H
│ │ │
H─C─C─C─C─H
│ ∣ ∥ ∣
H H O H
2.
H H H
∣ ∣ ∣
H—C—C—C—C—Br
∣ ∣ ∥ ∣
H H O H
3.
H H H H
∣ ∣ ∣ ∣
H—C─C─C─C＝O
∣ ∣ ∣
H H H
4.
H Br H
│ │ │
H─C─C─C─C─H
│ │ ∥ ∣
H H O H
5.
H CH3
│ │
H─C─C─C─H
│ │ ∥
H H O
2-10.For linear molecule, the rotational energy is given by
h^2
E = ───── J(J+1)
J (8π^2)I
I= μR ^2
e
μ:reduced mass
Re:average (equilibrium) bond length
1 35
The bond length of H Cl is 126 pm. Calculate the required electromagne-
tic radiation for the rotational transition from J=2 to J=3. (10)
2-11.The vibrational potential energy surface is shown as below. Explain why
the potential is anharmonic rather than harmonic?(5) Why the energy spac-
ing decreases and becomes continuous after dissociation?(5)
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.112.241.54