Chemistry 1312
Exam 3, Spring 2002

I.  Multiple Choice (82 points)  Select the best response for each of the following and record on the scantron.  Do not erase; erasures may result in a misgrading of your response.

1.     A catalyst increases the rate of a chemical reaction by
a.   increasing the rate of a chemical reaction but does not participate in the reaction
b.   accelerating a chemical reaction by lowering the
DHrxn
c.   increasing the order of the reaction
d.   changing the activated complex to one of lower activation energy
e.   yelling and hollering, “go faster!”

2.     All of the following changes can potentially increase the rate of a chemical reaction except:
a.   increasing the volume of a gaseous reaction system
b.   adding a catalyst to the reaction system
c.   increasing the surface area of the reactant molecules
d.   increasing the partial pressure of a reactant gas
e.   increasing the temperature of the reaction system

3.     The reaction, 2 N2O(g)  +  O2(g)  ®  2 N2O4(g) occurs in the presence of a gaseous catalyst.  Which of the following statements is true?
a.   The reaction is 2nd order in N2O(g) and 1st order in O2(g).
b.   The reaction occurs rapidly.
c.   The reaction must be conducted at 25°C.
d.   The reaction is exothermic.
e.   The activation energy for the forward reaction is greater than that for the back reaction.

4.     A reaction mixture has concentrations such that DG = zero.  However, DG° for the reaction is –10 kJ.  This information means that
a.   further reaction will take place to form more products
b.   the reaction mixture is at equilibrium but the concentration of the products is large
c.   the reaction mixture is at equilibrium but the concentration of the products is small
d.   the reverse reaction will take place to form more reactants
e.   who knows?

5.     The rate data for, NO(g)  +  Cl2(g)  ®  NOCl2(g), is
           [NO]o                      [Cl2]o                   initial rate (mol/L•s)
            0.01                        0.05                                    0.05
            0.01                        0.10                                    0.20
            0.02                        0.15                                    0.90
            0.03                        0.15                                    1.35
The rate law for the reaction is
a.     rate = k [NO]2[Cl2]2
b.     rate = k [NO]1.5[Cl2]2
c.     rate = k [NO]2[Cl2]
d.    rate = k [NO][Cl2]2
e.     rate = k [Cl2]2

6.     For the reaction profile at right,
a.   the
DHrxn is represented by C – B
b.   the reaction is endothermic
c.   the activated complex is B
d.   the activation energy for the forward reaction is A + B
e.   the activation energy for the back reaction is C – A

7.     Which of the following parameters is least affected by temperature changes?
a.   Free energy change,
DG            
b.   Rate constant, k                          
c.   Kinetic energy of molecules
d.   Activation energy, Ea
e.   Equilibrium constant, Kc

8.     The decomposition of the highly toxic pesticide parathion follows 1st order kinetics with a half‑life of about 2 weeks.  What fraction of an original sample will remain after 9 1/2 weeks?
a.   > 1/2                                                                         
b.   < 1/2 but > 1/4                                                        
c.   < 1/4 but > 1/8
d.   < 1/8 but > 1/16
e.   < 1/16 but > 1/32

9.     One of the statements concerning free energy is false.  Which one?
a.   The standard free energy change for a reaction =
DH°rxnTDS°sys
b.   The standard free energy change for a reaction = –RT ln K,.
c.   Free energy change is a measure of the “available work or energy” possible from a system.
d.   A positive free energy change for a reaction infers a spontaneous reaction.
e.   The free energy change for a reaction is directly proportional to the negative value of the total entropy change for a reaction.

10.  Only one of the following statements regarding the 2nd Law of Thermodynamics is false.  Which one?
a.  
DStot = 0 for any system at equilibrium.
b.   +
DSsurr must be greater than –DSsys for a spontaneous process.
c.   DSsys is always positive for a spontaneous reaction.
d.   DStot  for any spontaneous process must be greater than zero.
e.  
DSsurr is negative for an endothermic, spontaneous reaction.

11.  One of the following reactions shows a decrease in entropy of the system.  Which one?
a.   C(gr)  +  CO2(g) 
®  2 CO(g)
b.   2 NH3(g) 
®  N2(g)  +  3 H2(g)
c.   CH3OH(l)  +  CO(g) 
®  CH3COOH(l)
d.   CaCO3(s)
®  CaO(s)  +  CO2(g)
e.   CH4(g)  +  NH3(g) 
®  HCN(g)  +  3 H2(g)

12.  For reactants to form an activated complex in the transition state for a chemical reaction, all of the following conditions must be met except:
a.   the reactant species (molecules/atoms/ions) must collide
b.   the reactant species must collide with an energy equal to or greater than the activation energy for the reaction
c.   the reactant species must collide with a “proper” orientation
d.   the reactant species must be at temperatures above absolute zero
e.   the reactant species must be in their standard states

13.  The rate law for C  ®  products is, rate = k [C].  The activation energy, Ea for the reaction can be determined from the slope of a line for a plot of
a.   [C] vs. time
b.   ln [C] vs.
1/T(K)
c.   ln k vs. 1/T(K)
d.   1/[C] vs. time
e.  
1/[C] vs. 1/T(K)

14.  The reaction, CS2(g)  +  3 Cl2(g)  ®   CCl4(g)  +  S2Cl2(g) DH = –238 kJ, is
a.   spontaneous at all temperatures
b.   spontaneous at low temperatures but nonspontaneous at high temperatures
c.   nonspontaneous at low temperatures but spontaneous at high temperatures
b.   nonspontaneous at all temperatures
e.   an endothermic reaction

II. Exercises (55 points).  The organization of all exercises must be shown clearly and legibly in order to receive any partial credit.  Answers without a logical problem setup will receive only 10% credit.

1.     (20 points)  The thermal decomposition of phosphine, PH3, 4 PH3(g)  ®  P4(g)  +  6 H2(g), follows first‑order kinetics.  The half‑life for the decomposition is 35.0 s at 680°C.
a.   (5 pts)  Write the rate law for the reaction.

rate = k[PH3]

b.   (5 pts)  What is the reaction rate constant for the thermal decomposition of phosphine at 680°C?

k = 0.0198 s-1

c.   (10 pts)  Determine the time lapse for the decomposition of 90% of a phosphine sample at 680°C.

time = 116 seconds

2.     (35 points)  For the reaction, 2 N2O5(g) ®  4 NO2(g)  +  O2(g), consider the following data

 

N2O5(g)

NO2(g)

O2(g)

S° (J/mol•K)

346

239.9

205.0

DH°f (kJ/mol)

11.0

33.2

0

        a.   (10 pts)  Determine the entropy change of the reaction system.  State the significance of your answer.

DS°sys  = +472.6 J/K; an increase in the disorder of the system

b.   (10 pts)  Determine the entropy change of the surroundings for the reaction.  State the significance of your answer.

DH°rxn  = +110.8 kJ; an endothermic reaction

DS°surr  = +372 J/K; a decrease in the disorder (more order) of the surroundings

c.   (10 pts)  Determine the standard free energy change for the reaction.  State the significance of your answer.

DG°rxn  = ‑ 30.3 kJ; reaction is spontaneous at standard conditions

d.   (5 pts)  Determine the equilibrium constant for the reaction at 25°C.  R = 8.314 J/mol•K

K = 1.8 x 105

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