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

1. 電動汽車的需求在減碳排放政策以及科技進步等多項刺激下明顯增加。國內某汽車業者 擁有先進電動車電池的開發及製造能力，則該公司欲提高市占率應採用何種策略？ (A) SO策略 (B) ST策略 (C) WT策略 (D) WO策略 

2. 從事營建工程的甲君上個月在工作時被掉落的物品砸到，受傷住院了二天。甲君可以請求賠償的保險不包含下列何者？ ①產品責任險 ②人身意外保險 ③勞工保險 ④職業災害險 ⑤公共意外責任險 (A) ①⑤ (B) ②③ (C) ②④ (D) ③④

3. 臺灣於 1999 年開始成立購物中心，自此開啟北中南各購物中心的發展。有關購物中心的敘述，下列哪一項正確？ (A) 高雄夢時代購物中心內設有百貨公司、主題餐廳、遊樂園等，屬於郊區型購物中心 (B) 購物中心的目標客群主要鎖定中高收入族群消費者 (C) 購物中心是集多種業態與業種於一身的零售業態 (D) 購物中心所販售之商品價格以高價位為主

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