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105年 - 105 臺灣綜合大學系統_學士班轉學生聯合招生試題：普通化學B#122178

科目：轉學考-普通化學 | 年份：105年 | 選擇題數：21 | 申論題數：6

試卷資訊

所屬科目：轉學考-普通化學

選擇題 (21)

1. The wave function of 2s orbital for hydrogen atom is A [2-(r/ao)] exp(-r/(2ao)). Calculate the ratio of the probability of finding the electron at r= 4ao relative to that at r=ao? (A)4e-3 (B)4e-1  (C)2e-3  (D)2e-3/2 (E)4e-3/2
2. The percentage of the ionic character of H-Cl bond is 18.2%. The bond length is 1.27 x10-8 cm. What's the dipole moment (in D) of HCl(g)? (Note: e=1.6x10-19 coul, D= 3.336x10-30 Coul m) (A)1.56 (B)2.24 (C)0.95 (D)1.87 (E)1.11
3. For how many of the following species (B2-, C2, N2-, O2-, and F2) does the bond order decrease if one electron is removed? (A)0 (B)1 (C)2 (D)3 (E)4
4. Rank the following bonds in order from less polar to most polar: (1)P-S, (2)Ca-S, (3)K-Cl, (4)Si-Cl, (5)K-F. (A)1, 4, 2, 3, 5 (B)1, 2, 4, 5, 3 (C)4, 1, 2, 3, 5 (D)4, 1, 3, 2, 5 (E)1, 4, 2, 5, 3
5. How many of the following molecules or ions (IO2F2-, TeF4, ICl3, XeF4, ClO4-, SOF4) have see-saw (翹翹板) structures? (A)2 (B)3 (C)4 (D)5 (E)6
6. How many molecules or ions listed in Problem 5 have a hybridization of dsp³ on the central atom? (A)3 (B)4 (C)5 (D)6 (E)7
7. How many of the followings (CN-, NO-, O2, OF⁺, OF-) are paramagnetic? (A)1 (B)2 (C)3 (D)4 (E)5
8. Rank the following 0.10 M solutions in order from most acidic to most basic:
(1)CaBr2, (2)KNO2, (3)NH4ClO4, (4)NH4NO2, (5)HNO2 (A)5, 3, 1, 2, 4 (B)3, 5, 2, 4, 1 (C)5, 3, 4, 2, 1 (D)5, 3, 4, 1, 2 (E)5, 4, 1, 3, 2
9. In a common car battery, six identical cells each carry out the following reaction:
Pb + PbO2 + 2HSO4- + 2H+ → 2PbSO4 + 2H2O
For such a cell, Eº is 2.04 V. Calculate ΔG° (in kJ) at 25°C. (A)-787 (B)-1182 (C)-394 (D)-197 (E)-2364
10. The reaction 2A + B → C has the following proposed mechanism:
Step 1:   A+B⇌D   (rate constant: k₁ and k-₁, fast equilibrium)
Step 2: D+B→E   (rate constant: k2)
Step 3: E+A→C+B (rate constant: k3)
If step 2 is the rate-determining step, what should be the rate of formation of C? (A)k[A] (B)k[A]2[B] (C)k[A][B]² (D)k[A][B] (E) k[A]²[B]²
11. Consider the titration of 50.0 ml of 0.10 M acetic acid (Ka= 1.8x10⁻⁵) with 0.10 M NaOH. Calculate [H+] (in M) if 25.0 ml of NaOH is added? (A)1.2x10⁻⁶ (B)3.8x10⁻⁶ (C)7.5x10⁻⁶ (D)1.8x10⁻⁵ (E)5.4x10⁻⁵
12. Same as Problem 11, but calculate [H+] (in M) if 50.0 ml (total) of NaOH is added? (A)1.9x10-9 (B)3.2x10-9(C)7.5x10-9(D)1.9x10⁻⁸ (E)3.6x10⁻⁸
13. The complex FeL6²⁺, where L is a neutral ligand, is known to be diamagnetic. The number of d electrons in this complex ion is: (A)4 (B)5 (C)6 (D)7 (E)8
14. For the process Co(NH3)5Cl²⁺ + Cl⁻ → Co(NH3)4Cl2 + NH3, what would be the ratio of cis to trans isomers in the product? (A)1:1 (B)1:2 (C)1:4 (D)4:1 (E)2:1
15. Consider 2.0 mole of a monatomic ideal gas that is taken from state A (PA= 2.0 atm, VA= 10.0 L) to state B (PB= 2.0 atm, VB= 30.0 L), and then to state C (PC= 1.0 atm, Vc= 30.0 L). Calculate ΔEAB (in atm L). (A)30 (B)36 (C)45 (D)52 (E)60
16. Same as Problem 15, but calculate ΔHBC (in atm L). (A)-38 (B)-60 (C)-75 (D)-82 (E)-90
17. Same as Problem 15, but calculate ΔSAB. (A)(5/2)Rln2 (B)5Rln3 (C)3Rln3 (D)(5/2)Rln3 (E)(3/2)Rln3
18. Consider a face-centered cubic unit cell. What's the fraction of the space actually occupied by the packed sphere? (A)0.68 (B)0.72 (C)0.74 (D)0.76 (E)0.78
19. Which of the following compounds doesn't react with the acidic KMnO4 solution? (A)propanol (B)isopropanol (C)2-methyl-1-propanol (D)2-methyl-2-propanol (E)glycerol
20. Which of the following is optically active (that is, chiral)? (A)dimethylamine (B)difluoromethane (C)2-chloropropane (D)2-chlorobutane (E)1-bromohexane
21. When heat is added to proteins, the hydrogen bonding in the secondary structure breaks apart. What are the algebraic signs of ΔH and ΔS for the denaturation process? (A)Both ΔH and ΔS are positive. (B)Both ΔH and ΔS are negative. (C)ΔH is positive and ΔS is negative. (D)ΔH is negative and ΔS is positive. (E)ΔΗ is positive and ΔS is 0.

申論題 (6)

(a)Solve the Schrodinger equation by using A sin(kx) as a trial solution to determine k and total energy E in terms of quantum number n.
(b)What's the probability of finding the particle between L/3 to L/2 if n = 3?
(a)Derive the expression of In ([B]/ [A]) as a function of a, k, and t.
(b)Calculate the time required for half of A is reacted.
(a) If the molecular attraction can be neglected, derive the expression of PV as a function of P and T, and plot PV vs. P.
(b)If the excluded volume effect can be neglected, derive the expression of PV as a function of P and T, and plot PV vs. P. (Hint: use PV=nRT as approximation if needed.)