2046C Practice Final

1. Reaction first-order in A.       (12)
    Calculate:    (a) Rate constant k if 65.0% A remains after 6.00 min.
    (b) Time needed for 75.0% of A to react.  (c) % A remaining after 25.0 min.  (d) t½

2.   A2(g) + B2(g) 2 AB(g)
    (a) 10.0 mol A2 and 10.0 mol B2, added to a 1.00 L container. At equilibrium 5.00 mol A   (4)
        and 5.00 mol B2 remain. Calculate equilibrium constant K.
   (b) If 5.00 mole AB added to the system already at equilibrium in part (a),      (8)
        determine [A2], [B2], and [AB] when new equilibrium reached.

3.   Calculate pH:   (a) 0.100 M NaClO    (b) 1.00 M NH4CN      (12)

4. If 1.00 L of a buffer contains 1.00 mol HAc and 0.500 mol NaAc, calculate:    (15)
    (a) pH of buffer.
    (b) pH after adding 0.30 mol NaOH to the buffer (assume volume remains 1.00L).
    (c) pH after adding 0.30 mol HCl to the buffer (assume volume remains 1.00L).

5. Calculate Ksp for Pb(OH)2 if 0.00100 g soluble in 1.00 L of water.      (10)

6.  Solution prepared from 95.3g MgCl2 and 450g H2O.  Calculate:          (12)
   (a) MgCl2 molality  (b) solution freezing point   (c) solution vapor pressure (pure water 600 torr)

7.           SnCl4(g) + 2 H2O(g) ® SnO2(s) + 4 HCl(g)         (15)

DHf         (-472)       (-286)          (-581)          (-92)     ( kJ/mol)
DGf         (-432)       (-237)          (-520)          (-95)      ( kJ/mol)

Determine: (a) DH°rxn     (b) DG°rxn    (c) DS°rxn     (d) K     (e) account for DS°

8. Design galvanic cell using Zn/Ni electrodes. Indicate anode, cathode, direction of current, and cell   (12)
    solutions. Provide balanced anode/cathode equations and calculate potential.

9. (a) Write balanced ox/red equations and determine overall E° for CuCl2 ® Cu + Cl2
    (b) If CuCl2 subjected to 8.0 amp for 5 hours, calculate grams of Cu obtained.

Answers
1. (a)  ln(A0/A) = kt
          ln 1.54 = 0.43 = k(6.00 min)         k = 0.072 min-1
    (b) ln(A0/A) = kt
         ln (100/25) = ln 4 = 1.39 = (0.072 min-1)t     t = 19.3 min
   (c) ln(A0/A) = kt
        ln(100/A) = (0.072 min-1)(25.0 min) = 1.80
           100/A = 6.05    A = 16.5 or 16.5%
   (d) t½ = 0.693/.072min-1 = 9.63 min

2.  (a)      A2 + B22AB
      Eq:  5M     5M        10M       K = 102/52 = 4.0

    (b)      A2 + B22AB
       Eq:  5+x    5+x      15-2x      K = (15-2x)2/(5+x)2 = 4   or  (15-2x)/(5+x) = 2
                                                                                              15-2x = 10+ 2x      x = 1.25
                                                [A2] = [B2] = 6.15M     [AB] = 12.5M

3.    (a) ClO-1HClO   +  OH-1
     Eq:  0.1-x           x              x           Kb = 4.0x10-8 = x2/0.1    x = [OH-1] = 2.0x10-4
                                                                                                 pOH = 3.40     pH = 10.60

       (b)  CN-1HCN   +  OH-1       Kb = 2.0x10-5      soluton basic (Kb > Ka)
                 NH4+1NH3  +  H+1                  Ka = 5.6x10-10
             CN-1HCN   +  OH-1
     Eq:   1-x           x              x           Kb = 2.0x10-5 = x2/1    x = [OH-1] = 4.5x10-3
                                                                                                 pOH = 11.650   pH = 2.35

4.  (a)  [H+1] = (Ka)([HAc])/[AC-1] = (1.8x10-5)(1.00M)/(0.500M) = 3.6x10-5  pH =4.44

         In:  1.00M                  0.50M
     (b)     HAc H+1   +  Ac-1           [H+1] = (Ka)([HAc])/[AC-1] = (1.8x10-5)(0.70M)/(0.80M) = 1.6x10-5
        Eq:  0.70M                  0.80M                                                                                               pH =4.80

     (c)   [H+1] = (Ka)([HAc])/[AC-1] = (1.8x10-5)(1.30M)/(0.20M) = 1.2x10-4     pH = 3.93

5.     [Pb(OH)2] = 0.00100/241 = 4.1x10-6 M                       Pb(OH)2  Pb+2    +   2OH-1
                                                                                       4.1x10-6 M      4.1x10-6 M    8.2x10-6 M
        Ksp = [Pb+2][OH-1]2 = (4.1x10-6 M)(8.2x10-6 M)2 = 2.8x10-16

6.  (a) mol MgCl2 = 1.00    m = 1.00mol/0.450kg = 2.22m
     (b) DTf = imkf = (3)(2.22)(-1.86) = -12.4°C
     (c) mol ions = 3.00    mol H2O = 25.0     XH2O = 25/28 = 0.89
          P =(XH2O)(PH2O)= (0.89)(600 torr) =  534 torr

7.  (a) DH° = +85 kJ   (b) DG° = +6 kJ   (c) DS° = +265 J/K   (d) K = 0.089   (e) 3 gas particles ® 4 gas particles

8.

9.  (a)  RED:  Cu+2  +  2e-1 ® Cu°    +0.34 V
            OX: 2Cl-1® Cl2  + 2e-1        -1.36 V        E° = -1.02 V

    (b)  Q = I x t = (8.0A)(5)(3600s) = 144,000 C = 1.5 F         Cu+2 + 2e-1® Cu°
                                                                                                       1.5F    0.75 mol    48g Cu°