課程名稱課程名稱︰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）︰980116
考試時限（分鐘）：140
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
General Chemistry Final Examination 2009/1/16 (Total Score 210)
A.期中考相關考題: (40分)
A-1. 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) (延伸題，上課證明過)
For mono atomic, ideal gas, prove Cp = Cv + R.(5)
A-2. In one dimensional vibrational motion for a diatomic molecule AB (with ma-
ss ma for A atom and mb for B atom) along the x axis where the potential
energy is assumed to be (1/2)kx^2 (k = force constant), write down the Ha-
miltonian for the Schrodinger equation.(5)
A-3. For the A4 family, CO2 molecule forms linear structure (sp), however, str-
ucture of SiO2 is observed as tetrahedral (sp3). Please explain.(5)
A-4. For 1s orbital, Ψ1s = [(1/√π)(Z/a0)^(3/2)]e^(-Zr/a0), where a0 = 0.529
埃, find out the radius for the maximum probability for Be3+.
A-5. NNO and NON are isomers. Write down the most stable Lewis structure for
NNO and NON.(5) Determine and explain wich one (NNO or NON) is a more sta-
ble form.(5)
B.期末考相關考題:(170分)
B-1. Definition and Explanation
B1-1.Using the band gap theory to explain the "conductor", "semiconductor", "p-
type conductor", "n-type conductor". (10)
B1-2.(a) exothermic process, (b) endothermic process, (c) endergonic process,
(d) exergonic process. (10)
B1-3.(a) second law of thermodynamics, (b) third law of thermodynamics. (5)
B1-4.Explain the differences between Schottky and Frenkel defects. (5)
B1-5.What does state function mean?(5) Which of the following functions are st-
ate funcions?
B1-6.Which of the following compound is with the higher standard entropy value
than H2O? (a) O2, (b) He, (c) CH3COOH, (d) CO, please explain. (5)
B-2. (課堂上說過會考) Cubic packing spheres are stacked on top of each other in
successive layers. Define
volume occupied by spheres in the unit cell
f = ───────────────────────
v volume of the unit cell
prove fv = 52.4% for a cubic packing. (10)
B-3. For the van-der Waals equation of the real gas
nRT n
P = ─── - a(──)^2
calc V-nb V
in which Pcalc is the pressure calculated from van-der Waals equation.
(a) Please define a and b.(5)
(b) Please derive the above equation from the idea gas law.(5)
(c) At higher pressure such as > 1000 atm, Pcalc calculated from the van-
der Waals equation shows significant deviation from the observed one.
Give a reasonable explanation. (5)
B-4. (a) 由 G = H - TS 的定義，導出 G 和 pressure (P) and temperature (T) 的相
關性為: dG = VdP-SdT, in which V denotes the volume and S is system
entropy at 25度C. (10)
(b) On the above basis and common sense, explain why you need to make dia-
mond 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-5. (上課說過會考) The phase diagram for water in a close system is shown be-
low, in which points A-F represent the condition of water at a specific
pressure and temperature. Please answer the following questions.
1. Which point that △Hfus can be measured? (5)
2. Which reoresents triple point? And define it.(5) How many unknown pa-
rameters (i.e. degree of freedom) need to be determined at triple po-
int?(5)(上課講過)
3. Which represents critical point? (5) At this point, what special phy-
sical property can be observed? (5)
4. Using the formula of above B-4(a) to explain the negative slope for
the line B-E for water.(5)(上課講過)
5. (這題是習題16-95)Continuation of above question. The B-E line for the
case of carbon dioxide has the positive slope, explain.(5) Rationali-
ze why the critical temperature for water is greater than that for
CO2.(5)
B-6. (1)Fill the blank. According to the theory of thermodynamics, please fill
the condition wich makes the reaction undergoes. (10)
Reaction Fate of reaction
0 0
a.△S > 0; △H < 0 _____________
0 0
b.△S > 0; △H > 0 _____________
0 0
c.△S < 0; △H < 0 _____________
0 0
d.△S < 0; △H > 0 _____________
(2)For reaction B-6(b), what is the fate of equilibrium conatant (i.e. in-
crease or decrease?) when temperature is increased? Explain.(5)
B-7. Plot of PV/nRT versus P for four gases H2, N2, CH4, and CO2 is shown below
Please mark (1)-(4) to each gas and explain. (10)
B-8. (習題) Consider 1.00 mol of CO2(g) at 300K and 5.00 atm. The gas expands
until the final pressure is 1.00 atm. For each of the following conditions
describing the expansion calculate q, w, and △E. Cp for CO2 is 37.1
J/Kmol, and assume that the gas behaves ideally. (10)
a.The expansion occurs isothermally and reversibly.
b.The expansion occurs isothermally against a constant external pressure
of 1.00 atm.
c.The expansion occurs adiabatically and reversibly.
B-9 When water is supercooled, it freezes at a temperature below 0.0度C. If
10.9 kJ of heat is released when 2.00 mol of supercooled water at -15.0度C
freezes, calculate the molar enthalpy of fusion for ice at 0.0度C and 1 atm
Assume that the molar heat capacities for H2O(s) and H2O(l) are 37.5J/Kmol
and 75.3J/Kmol, rspectively, and are temperature independent.(10)
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