113年 - [非官方正解]113 臺北市立陽明高級中學教師甄試題：化學科#119739

科目：教甄◆化學專業/化工科 | 年份：113年 | 選擇題數：26 | 申論題數：0

試卷資訊

所屬科目：教甄◆化學專業/化工科

選擇題 (26)

1. For [H+ ] = (8.0 ± 0.4) ✕ 10-5 M, pH = 4.10 ± s. s = ? (A) 0.01 (B) 0.02 (C) 0.03 (D) 0.04
2. What is the volume (in mL) of 1.0 M NaOH(aq) that must be added to 1.0 M, 60 mL HA(aq) to make a buffer solution with pH = 6.0? pKa = 5.7 for HA (A) 20 (B) 30 (C) 40 (D) 50
3. Ionization of water is an endothermic process with pKw = 14.0 at 25°C. For pure water at 37°C, which of the following relations is correct?(A) pKw > 14.0 (B) pH = 7.0 (C) pOH ＞ 7.0 (D) pKw = 2 pH 

4. For two monoprotic acids (HA, HB) and their conjugate bases (A- , B- ), the following relations are known: HA + B- A- + HB, K ＞ 1 and pKb(A- ) ＜ 7.0. Which of the following order of K’s is correct? (A) Kb(B- ) ＞ Ka(HB) ＞ Ka(HA) ＞ Kb(A- ) (B) Kb(A- ) ＞ Kb(B- ) ＞ Ka(HA) ＞ Ka(HB) (C) Kb(B- ) ＞ Kb(A- ) ＞ Ka(HA) ＞ Ka(HB) (D) Kb(B- ) ＞ Ka(HA) ＞ Kb(A- ) ＞ Ka(HB)

5. The solubility of Ag2CrO4(s) in water is 10000 times that of Ag2CrO4(s) in 0.020 M AgNO3(aq). What is the Ksp for Ag2CrO4? (A) 2 ✕ 10-8 (B) 4 ✕10-10 (C) 1 ✕ 10-12 (D) 4 ✕ 10-12

6. Consider the concentration cell: Cu | Cu2+ (5.0 ✖ 10-5 M)||Cu2+ (0.50 M)| Cu. What is the cell potential (in volt) at 25°C? (A) 0.06 (B) 0.12 (C) 0.18 (D) 0.24 2

7. For the condensation of water vapor at 1 atm and 25°C (H2O(g) → H2O(l)), which of the following relations is correct? (A) △G ＜ 0 (B) w ＜ 0 (C) △S ＞ 0 (D) q ＞ 0

8. For an isothermal and reversible compression of an ideal gas, which of the following relations is correct? (A) △H ＜ 0 (B) △G = 0 (C) q ＞ 0 (D) △S ＜ 0
9. Adding CH4(g) into a fixed-volume flask containing O2(g) until the pressure is tripled, how many times its density will be? (dfinal/dinitial = ?) (A) 2 (B) 3 (C) 4 (D) 6
10. Which of the following elements has the lowest second ionization energy? (A) B (B) C (C) N (D) O
11. For Ag+ ion in its ground state, what is the number of electrons that have ml = 0 and ms = -1/2? (Z = 47 for Ag) (A) 9 (B) 10 (C) 18 (D) 20
12. Which of the following compounds would have the largest melting point? (A) NaCl (B) KCl (C) MgO (D) MgCl2

13. One mole of an ideal gas (Cv = 20 J•K-1 •mol-1 ), initially at 1.0 atm and 300 K, absorbs 100 J of heat and performs 500 J of work in a certain process. What is the final temperature (in K) of the gas? (A) 280 (B) 290 (C) 300 (D) 320
14. Decomposition of 2.76 g M2CO3 yields 1.88 g M2O. What is the atomic mass of M? (A) 9 (B) 23 (C) 39 (D) 85
15. For a triprotic acid H3A with pK1 = 3.0, pK2 = 6.0 and pK3 = 9.0, which of the following relations is correct? (A) [H3A] = [A3- ] at pH = 7.0 (B) [HA2- ]/[A3- ] = 10 at pH 7.0 (C) [H2A- ] ＞ [HA2- ] at pH 6.5 (D) [H3A] ＞ [HA2- ] at pH 5.0 3
16. Which of the following statements is correct? (A) a saturated solution contains a high concentration of solute. (B) the solubility of solids always increases with temperature. (C) a saturated solution involves a dynamic equilibrium between the solid and its solution. (D) a supersaturated solution involves a dynamic equilibrium between the solid and its solution.
17. Which operation will increase the quantity of product for the exothermic reaction:
2SO2(g) + O2(g)2SO3(g) (A) a decrease in volume of container (B) an increase in temperature (C) increasing P by adding some argon (D) adding a catalyst

18. Consider the equilibrium: PCl5(g) PCl3(g) + Cl2(g), Kc = 0.025 at 400 K. If 0.5 mol of PCl5 is placed in a 1.0 L container at 400 K and is allowed to reach equilibrium, what is the total pressure (in atm) of the gases? (A) 5 (B) 10 (C) 15 (D) 20
19. For an ideal gas, which of the following sets of variables has a linear relationship? (A) P vs. 1/V (B) V vs. T (C) PV vs. T (D) P/T vs. density
20. It took 2 min for 0.20 L of H2 to effuse through a pin hole. How long will it take (in min) for 0.10 L of O2 to effuse under identical conditions? (A) 2 (B) 4 (C) 8 (D) 16
複選題
21. A certain liquid (X) has a normal boiling point of 353 K. The densities (in g/L) of the vapor X in equilibrium with its liquid at 300 K and 353 K are 0.50 and 2.7, respectively. Assume the vapor behaves ideally, answer the following questions. (A) Find the molar mass of X.   3% (B) Find the vapor pressure of liquid X at 300 K.   2% (C) If the saturated vapor of X at 353 K in a 2.0 L glass flask is cooled to 300 K, what is the mass of X that the will be condensed?   2% (D) If X is a hydrocarbon containing 92.3% carbon, what are the empirical formula and molecular formula of X?   3%
複選題

22. A battery is constructed from two half cells: Zn|Zn2+(1.0 M) and Mn|Mn2+(1.0 M)； the volume of each electrolyte solution is 300 mL. The battery is allowed to discharge at a constant current of 9.65 amperes. Given that: F = 96500 C•mol-1 ； E° = -0.76 V for Zn2+/Zn and -1.18 V for Mn2+/Mn. Answer the following questions. (A) Indicate the anode, cathode, and direction of electron flow of the cell.    3% (B) Calculate the standard cell potential.    2% (C) The equilibrium constant of the cell reaction is K； log K = ?    2% (D) Find [Zn2+] after 10 min. of discharging.    3%
複選題

23. One mole of an ideal gas (Cv = 2R), initially at X, undergoes three reversible steps of a cycle as shown below: Answer the following questions. (ln 3 = 1.1) (A) Find the temperature (T) at state Z.    2% (B) Find the work done (w) for step (3). 2% (C) Find the change in enthalpy (△H) for step (2).    3% (D) Find the heat (q) involved in a cycle.    3% 
複選題

24. After people take the medicine X, it can be absorbed into the body through pathway A→B and enter the blood. Medicine in the blood can reduce its concentration through decomposition (B→C) or excretion (B→D), as shown in the figure below:

 

Assume that the process A→B is much faster than those of B→C and B→D. Therefore, each time a medicine with a dose of [X]o is taken, it can be regarded as immediately producing a concentration of [X]b (= 0.020 mM) of X in the blood. Assume that B→C and B→D are both first-order processes, and their rate constants are k1 (= 0.075 h-1 ) and k2 (= 0.025 h-1 ), respectively. If a person takes the same dose ([X]o) of the medicine every t hour, answer the following questions. (A) Just after taking the medicine for the nth time, its concentration in the blood is equal to [P]n. Express [P]n as a function of [X]b, k1, k2 and t.    3% (B) Continue to take the medicine every 6 hours for a long period of time (n→∞), calculate [P]∞ (in mM)?    3% (C) Find the half-life of the medicine in the blood.    2% (D) What proportion of the decrease in medicine concentration in the blood is caused by decomposition?    2%
複選題
25. Extraction and spectroscopic methods can be used to determine the dissociation constant (Ka) of a monoprotic organic acid (HA) and its distribution coefficient (Kd) between the organic phase and the aqueous phase. When extracting organic acids, it is assumed that only HA is soluble in the organic layer, and its concentration is [HA]org； while HA and A- exist in the aqueous layer, and their concentrations are [HA]aq and [A- ]aq, respectively. The distribution coefficient is defined as Kd = [HA]org/[HA]aq.
       In an extraction experiment, take 10-mL of an aqueous solution containing 3.5 mM HA at pH 5.0； extract it with 15-mL of an organic solvent. Separate the mixed solution into aqueous and organic layers. Take 1.0 mL of the aqueous layer； put it into a 1.0-cm (path length) cuvet； measure the absorbances at 400 nm and 450 nm； the observed absorbances are 0.30 and 0.62, respectively. Given the following information: molar absorptivity ε (in M-1 .cm-1 ): ε400(HA) = 2000, ε400(A- ) = 250, ε450(HA) = 200, ε450(A- ) = 1500. Answer the following questions. (A) Find [HA]aq and [A- ]aq in the aqueous layer.    4% (B) Find [HA]org in the organic layer.    2% (C) Find the acid dissociation constant Ka.    2% (D) Find the distribution coefficient Kd.    2%
複選題
26. Explain the following terms. 2 points for each term. (A) mean free path (B) isotonic solutions (C) cathodic protection (D) ion-selective electrode (E) amphoteric substance

申論題 (0)