110年 - [非官方正解]110 國立中山大學碩士暨碩士專班招生考試_化學系碩士班:物理化學及分析化學#106071

2. In an adiabatic free expansion process for an ideal gas, which term is NOT zero? (A)△U (internal energy change) (B)W (Work) (C) △T (temperature change) (D)

3.In Joule-Thomson experiment, which thermodynamic term is zero? (A) △H (Enthalpy change) (B)△U (internal energy change) (C) △V (Volume change) (D) △P (Pressure change)

4.What is the correct relationship between C_v and S?(A) (B) as dv=o, ds =dT(C) as dp-=o, ds =dT (D)as dv=0, ds =dP

5.If we mix 0.4 mole of pure benzene with 0.6 mole of pure toluene at temperature T. Assume this mixture is an ideal solution. What is△S? (A)0.4RIn0.4 +0.6Rn0.6 (B) 0.4RTIn0.4 + 0.6RTIn0.6 (C) 0.4RIn0.6+0.6RIn0.4 (D) 0.4RTIn0.6+ 0.6RT1n0.4

7.How many wavenumbers () are equivalent to the energy at 300 Kelvin? (A) 100 (B) 53 (C) 0.371 (D) 208 

8.What is the boundary conditions for a "'particle in a box" model? (A)(0)=(L)=0(B)(0)=(L)=∞(C)(0)=(L)=1(D)(0)=0,(L)=∞

9. If a potential function of a diatomic molecule can be described by a Morse potential, V(x) =, what is the force constant k? (A)βDe(B) 1/2βDe (C) 1/2 β²De² (D) 2 β²De²

10. The is an eigenfunction of, so what is the eigenvalue? (A) (B) (C) (D)1

11. What is the ground state term of molecular oxygen? (A)³P (B)(C)(D)

12. To measure a correct rate coefficient, which order reaction does not require to know the absolute concentrations of reactants? (A) order (B) order (C) order (D) order

13. If the population decay channels of the excited state decay include three channels, such as fluorescence channel (k_F), internal conversion channel (), and intersystem crossing channel (), what is the observed fluorescence lifetime Tr? (A)1/ k_F (B) 1/ (k_F+ ) (C) 1/ (k_F+ + ) (D) 1/ (k_F+ )

14. The rate constant for the reaction of at 575 K and 716 K. Estimate the value of Ea from these data. (Assuming the Ea and pre- exponential factor are temperature independent) (A)185 (B) 158 (C) 116 (D) 161 

17. Which of the following statements are INCORRECT? (A) 100 ppb (B) The number 1.2500 x 10⁴has five significant figures. (C)0.02(±0.02)+0.01(±0.02)-0.02(±0.03)=0.01(±0.04) (D) Molality is the number of moles of a substance per liter of solution.

19. The calibration curve equation for quantifying standard was I = 51.00 x [ ] + 1.00, where I is the intensity and the   concentration is in micromole/L. The reagent blank, measured by three repeated experiments, gave a value of 0.30± 0.04. What is the detection limit for Cu2t based on a signal-to-noise ratio of 2? (A) 1.56 nM. (B) 1.35 nM. (C) 2.56 nM. (D) 2.35 nM.

20. Which of the following statements concerning titration are INCORRECT? (A) The pH at the midpoint, the point halfway on the titration curve to the equivalence point, is equal to the pK_a of the weak acid. (B) The pK_a values of a diprotic acid H₂A are= 8.00. At pH 9.00, the major species are(C) The equivalent volume for titrating 50.00 mL of a solution (0.05 M in iodide ions and 0.08 M in chloride ions) with 0.1 M silver nitrate is 60 mL. (D) In EDTA titration, ammonia often is required to prevent the precipitation of metal ions.

25. The activity coefficients of H⁺ and OH^- are 0.83 and 0.76 when the ionic strength is 0.1. The pH of water containing 0.10 M LiNO₃ at 25℃ are (A) 6.98 (B) 7.00. (C) 7.02 (D) 7.04

28. Which of the following methods concerning absorption are INCORRECT? (A) UV-Visible spectroscopy of organic compounds is usually associated with n → π*and π → π*(B) The intensity of absorbance is proportional to the log of the absorbing species concentration (C) An atomic absorption spectrum consists of a series of line peaks (D) X-ray absorption spectroscopy (XAS) can probe the chemical surroundings around an atom of interest.

29. Which of the following statements concerning fluorescence are INCORRECT? (A) The lifetime of fluorescence is s. (B) The difference between the excitation and emission wavelengths is called the Stokes Shift. (C) Fluorescence intensity is sensitive to environmental factors, such as pH and solvent polarity. (D) The fluorescent quantum yield is dependent of excitation intensity.

(a)

(b)

32. (10%) The activation energy Eacan be defined from the Arrhenius expression as

Use the equation k(T) = to show that