課程名稱︰普通化學丙
課程性質︰系定必修
課程教師︰張大釗
開課學院：生農學院
開課系所︰獸醫+植微
考試日期（年月日）︰2010/10/20
考試時限（分鐘）：10:20~11:20 (60min)
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.What is the Avogadro's hypothesis ? Under what assumptions, this hypothesis
is valid.(10pts)
2.Balance the following reaction by using oxidation state method (10pts)
a. Al(s) + HCl(aq)→ AlCl3(aq) + H2 (g)
b. C2H6(g) + O2(g)→ CO2(g) + H2O(g)
3.A compound contains only carbon, hydrogen, and oxygen. Combustion of 10.68
mg of the compound yields 16,01 mg CO2 and 4.37 mg H2O. The molar mass of
the compound is 176.1 g/mg. What empirical formula and molecular formula of
this compound?(10pts)
4.Calculate the de Broglie wavelength for a ball (0.14 kg) traveling at 40 m/s
and an electron (9.11×10^-31 kg) traveling at 1.0×10^7 m/s. What
experimental evidence was conducted to support de Broglie equation?
h=6.6×10^-34 J-s (20pts)
5.Using Schrodinger wave equation, HΨ=EΨ, to calculate the energy (E) of a
particle in a box with the length "a". The Hamiltonian operator operator
(H) and the wave function(Ψ) are given as H=T+V=-h^2/2m(d^2/dx^2)+V(x)
and Ψ=A sin(kx).
Assuming V(x)=0 for 0?x?a ; and V(x)=∞, otherwise.
(a)Derive the energy and give the reason for obtaining E=n^2h^2/8ma^2?
(b)Give the reason why you can obtain A=(2/a)^1/2?
(c)What is the probability of finding a particle in a one-dimensional box
in energy level n=3 and x=a/2?
(d)Assuming C6H8 is a linear molecule, the effective chain length for the
movement of π-electron is 8 A,calculate the wavelength of lowest energy
transion?
(e)Quantum dots(QD) can be qualitatively described as particle-in-a-box. It
is found the larger QD size, the longer the emission wavelength. Explain
why?(40pts)
6.Based on Scientific Method (Observation, Hypothesis, Experiment, Model,...),
please briefly describe the seientific progress from (1)Dalton's "Atomic
model", via (2)Thompson's pudding model,(3) Rutherford's Atomic model, (4)
Bohr's H-atom to (5) Schrodinger wave equation. (200-500 words, contents:
25 pts,presentation: 15 pts)
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