103年 - [無官方正解]103 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#146418

1. Which gas would behave more ideally at the same conditions of P and T? (A) CO₂ (B) NH₃ (C) N₂ (D) CO

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

3. Which of the following partial derivatives is zero for an ideal gas? (A) (B) (C) (D)

4. Given that and that , which of the following is true? (A) (B) (C) (D)

5. According to molecular-orbital theory, which of the following species has the highest bond order? (A) (B) (C) (D)

6. Which of the following has a zero dipole moment? (A) NH₃ (B) NO₂ (C) PF₅ (D) SO₂

7. Of energy, work, enthalpy, and heat, how many are state functions? (A) 0 (B) 1 (C) 2 (D) 3

8. Which of the following would have a higher rate of effusion than C₂H₂? (A) N₂ (B) O₂ (C) CH₄ (D) Cl₂

9. Which of the following molecules has the largest rotational partition function at the same temperature? (A) H³⁵Cl (B) H³⁷Cl (C) D³⁵Cl (D) D³⁷Cl

10. To be physically acceptable, a quantum-mechanical wave function must be (A) single-values (B) finite everywhere (C) continuous (D) all of A, B, and C.

11. Which of the following is an eigenfunction of the operator (A) (B) (C) (D)

12. How many vibrational modes does the molecule CH4 have? (A) 7 (B) 8 (C) 9 (D) 10

13. The term symbol for the ground electronic state of the superoxide ion is (A) (B) (C) (D)

14. What type of the atomic orbital illustrated on the right side? (A) 2p (B) 3s (C) s-p hybride (D) 3d

15. The vibrational frequency of H³⁵Cl is about 2884 cm^-1. What is the approximate vibrational frequency of D³⁵Cl? (A)2090 cm^-1 (B) 4079 cm^-1 (C) 5768 cm^-1 (D) 1442 cm^-1

(a) Find the value of C that normalizes the orbital ;

(b) Find ;

(c) Find .

17. Calculate w (work), q(heat), , and when one mole of an ideal monatomic gas is compressed reversibly from 1.00 bar to 5.00 bar at a constant temperature of 300 K. (5分)

(a) Find the concentration of each species, and at time t. Assume that the initial concentrations, at time t = 0, are ,. (3分)

(b) Find at . (3分)