106年 - [無官方正解]106 國立嘉義大學_碩士班(甲組)招生考試試題_應用化學系：物理化學#146501

1. What is the orbital angular momentum of an electron inthe 3d orbital？(A) (B) (C) (D)

2. Which of the following wavefunctions is a “well-behaved”wave function？(A) (B) (C) (D)

5.What is the unit of the rate constant of a second orderreaction？(A)no unit (B)t ^-1 (C)) M ^-1t ^-1 (D)M ^-2t ^-1.

6.At 200 K, the molecules or atoms of an unknown gas, X, have anaverage velocity equal to that of ⁴⁰Ar atoms at 400 K. What isX？(Assume ideal behavior.)(A)He (B)H₂ (C)HF (D)HCl.

7.An electron in which of the following orbitals of the hydrogenatom has the largest average distance from the nucleus？(A) (B) (C)2P_x (D)2P_z.

8.The ionization energy for hydrogen atom at ground state is 13.6eV. What is the ionization energy for an electron in the 2porbital of a hydrogen atom？(A)27.2 eV (B)13.6 eV (C)6.8 eV (D)3.4 eV.

9.Which of the following molecules has unpaired electron(s) in theelectronic ground state？(A)O₂ (B)N₂ (C) H₂ (D)Cl₂.

10. Which one the following molecules have the pure rotationspectrum？(A)CH₄ (B)CO₂ (C)H₂O (D)C₆H₆

11.The vibrational frequency of HCl is 2885 cm^-1.What is the possible vibrational frequency of DCl？(A)4080 cm^-1 (B)2885 cm^-1 (C)2050 cm^-1 (D)1443cm^-1

12. How many vibrational modes does a CO₂ molecule have？(A)3 (B)4 (C)5 (D)6

13. What is the wavenumbers of the light with a wavelength of500 nm？(A)20000 cm^-1 (B)15000 cm^-1 (C)500 cm^-1 (D)6000cm^-1.

14. The term symbol for the ground state of Ar+ is？(A)1_S (B)2_S (C)1_P (D)2_P

( 二)計算題及問答題(共 20 分)
1. , where and are the rate constants of fluorescence and non-radiation processes, respectively. Find the fluorescencequantum yield () in this system. (5 分)

2. Calculate E_a for a reaction whose rate constant at roomtemperature is doubled by increasing 10 ℃(298K →308K). ( 5分)

(A)Find the value of that normalizes the wavefunction.

(B) Find in terms of . (Where and are Bohr radius and theexpectation value of of orbital. You may need the integral ).