課程名稱︰普通化學上 課程性質︰物理系大一必帶 課程教師︰陸駿逸 開課學院：理學院 開課系所︰物理系 考試日期（年月日）︰ 2018/01/12 考試時限（分鐘）：120 計分方法：總分165，超過140以140計 是否發放獎勵金：是 試題 : 1. (20 pts) Write down the chemical formulae of the following molecules: (a)3-methyl-1-hexene, (b) anthracene, (c) potassium hexacyanoferrate(II), (d) sodium tetrahydroxozincate(II). 2. (8 pts) The compound methyl t-butyl ether (MTBE) has been added to gasolines to increase the octane number. Write down its chemical formula. Why can it increase the octane number? 3. (16 pts) Predict the energy level splittings induced in the three p orbitals by octahedral and square-planar crystal fields. 4. (20 pts) In the bonding of Cr(3+) and the ligands in the octahedral complexes, the πbonds of the ligands Cl(-) and CN(-) have the opposite effects on the d orbital energy gap. Compare [CrCl6](3-) with [Cr(CN)6](3-). Which one has a larger energy gap? Draw the appropriate MO correlation diagram to explain your answer. 5. (16 pts) What is the difference between fluorescence and phosphorescence? Give one example molecule which shows mainly fluorescence but not phosphorescence, and another molecule which shows the opposite. 6. (15 pts) Explain qualitatively how the NMR signals differentiate the two types of the protons of the molecule CH3OH. 7. (20 pts) Solve the energies and the MO wave functions of the πsystem of the molecule C4H6. Let a = ∫drφ_1 H φ_1 and b =∫drφ_1 H φ_2, where H si the hamiltonian, φ_1 is the 2p_z atomic orbital of one carbon atom, φ_2 is the 2p_z atomic orbital of the nearest neighboring carbon atom. 8. (20 pts) An electron is confined in a square box of length L in each side, so that 0 <= x <= L, 0 <= y <= L, 0 <= z <= L. Consider the three energy levels ψ_1 = c_1 sin(xπ/L)sin(yπ/L)sin(zπ/L) ψ_2 = c_2 sin(2xπ/L)sin(yπ/L)sin(zπ/L) ψ_3 = c_3 sin(3xπ/L)sin(yπ/L)sin(zπ/L) with the energies E_1, E_2, E_3, respectively. Can the electron absorb a photon with the energy E_2-E_1 to jump from ψ_1 to ψ_2? Can it absorb a photon with the energy E_3-E_1 to jump from ψ_1 to ψ_3? Explain your answers. 9. (15 pts) Use average bond enthalpies from the following table to estimate the reaction enthalpy ΔH°for the reaction C3H8(g)+5 O2(g) --> 3 CO2(g) + 4 H2O(g). Molar Enthalpy Bond Enthalpy (kJ/mol) Atom of atomization ------------------------------------------------ (kJ/mol) H- C- C= C≡ N- N= N≡ O- O= ------------------------------------------------------------------------ H 218.0 436 413 391 463 C 716.7 413 348 615 812 292 615 891 351 728 N 472.7 391 292 615 891 161 418 945 O 249.2 463 351 728 139 498 10. (15 pts) One mole of ideal gas undergoes the free expansion at 25℃, from smaller initial volume 10L to the final volume 20L. What are the work W, the heat Q, and the entropy change ΔS of the gas? (R = 8.314 J/K) （註：考試時教授補上條件：氣體free expansion過程中與外界絕熱） --

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