课程名称︰普通化学丙 课程性质︰系定必修 课程教师︰张大钊 开课学院：生农学院 开课系所︰兽医+植微 考试日期（年月日）︰2010/10/20 考试时限（分钟）：10:20~11:20 (60min) 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 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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