108年 - 108 國立嘉義大學_碩士班招生考試試題_應用化學系：物理化學#146919

1. Use the P-T diagram of CO₂ to explain why "No liquid CO₂ exists under our environmental condition." (5 分)

2. For an aqueous solution of HCN, what is the degree of freedom of the system? (5 分)

3. You are given the following reduction reaction and E° values:
Fe³⁺(aq) + e⁻ → Fe²⁺(aq) E° = 0.771V
Fe²⁺(aq) + e⁻ → Fe(s) E° = -0.447V
Calculate E° for the half-cell reaction Fe³⁺(aq) + 3e⁻ → Fe(s). (5 分)

4. Use the μ-T diagram to express the change of the boiling temperature and the melting temperature of water with respect to the increase of pressure, where μ is the chemical potential. (5 分)

5. Determine Vmp, Vave, and Vrms for Ar at 298K. (M _Ar=40 g/mol). (6 分)
Where Vmp: Most probable speed, V_ave: average Speed, and V_rms: root- mean- squared speed.

6. Write the integrated rate law expressions of zero-th, first, and second order of reactions. What are the units of the rate constants? (9 分)

7. An electron is accelerated through a potential differential of 100V. Determine the de Broglie wavelength of the electron. (6 分)

8. Three quantum numbers are needed to describe the distribution of electrons in an atom. How these quantum numbers describe the distribution of electrons in an atom? (9 分)