CHEM 162 - General Chemistry II

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exam_3_review.pdf

CHEM  162  Exam  3  Review       page  1  of  4  

CHEM  162:  Exam  3  Study  Guide     CHAPTER  14:  Chemical  Kinetics     chemical  kinetics:  study  of  the  factors  that   influence  reaction  rates    

reaction  rate:  a  positive  quantity  expressing  the   concentration  change  with  time    

Use  experimental  data  given  to   –     determine  a  general  reaction  rate  given  

concentrations  of  reactants/products  over  time   –     determine  the  rate  of  disappearance/     consumption  of  a  reactant  or  rate  of  

appearance/production  of  a  product  given  the   rate  of  disappearance/appearance  of  another   reactant/product  in  the  reaction  

 

Determine  reaction  rate   –     Given  experimental  data  of  concentrations  and  

time.    

Know  the  terms:  rate  law,  rate  constant  (k)    

Reaction  Order:   –     zero-­‐order,  first-­‐order,  second-­‐order   –   Determine  overall  order  for  a  reaction  given  rate  

law.    

Distinguish  between  the  instantaneous  reaction   rate  and  the  average  reaction  rate.    

Determine  rate  law  using  initial  rates  method     –     Given  data  of  concentrations  and  rates.   –     Cannot  be  determined  given  only  the  balanced  

chemical  equation.     half-­‐life  (t1/2):  the  time  required  for  the   concentration  of  a  reactant  to  decrease  by  half     Determine  the  reaction  order  given  experimental   data  of  reactant  concentration  over  time.   –     Recognize  the  plots  giving  a  straight  line  for  

zero-­‐order,  first-­‐order,  and  second-­‐order   reactions.  

Determine  the  reaction  order  given  experimental   data  of  reactant  concentration  over  time   (Continued)   –     Recognize  that  the  half-­‐life  is  only  constant  for  

first-­‐order  reactions.   –     Compare  slopes  for  the  first  and  last  sets  of  data  

to  see  if  slope  changes  for  each  reaction  order.     Do  calculations  given  integrated  rate  laws  for   zero-­‐order,  first-­‐order,  and  second-­‐order   reactions.   –     Solve  for  concentration  at  a  given  time  given  

initial  concentration  and  rate  constant.   –     Carry  out  natural  log  (ln)  calculations  for  1st-­‐

order  reactions—review  your  algebra!   –     Solve  for  the  time  required  for  the  

concentration  to  decrease  to  a  given  amount.   –     Solve  for  half-­‐life  given  rate  constant,  k,  or  vice  

versa.    

COLLISION  MODEL/THEORY:    reactant  molecules   must  collide  to  react    

Activation  Energy  (Ea):  minimum  energy  needed   for  chemical  reaction  

 

  Reaction  Rate  and  Temperature     –     As  T↑,  reaction  rate  ↑  since  molecules  move  

faster  and  more  molecules  have  activation   energy.  

 

  Three  Factors  Affecting  Reaction  Rate     1.  Concentration     2.  Orientation  of  molecules     3.  Temperature  and  Kinetic  Energy  

  –     Molecules  move  faster  at  higher  temps     –     Molecules  must  have  activation  energy  (Ea)  

to  react          –     Molecules  must  vibrate  strongly    

      enough  and  collide  with  enough  force  to   make  and  break  bonds

CHEM  162  Exam  3  Review       page  2  of  4  

  CHAPTER  14:  Chemical  Kinetics  (Continued)     TRANSITION  STATE  MODEL    

Reaction  Energy  Profiles   –     Indicate  the  transition  state,  activation  

energy  (Ea)  for  reactants  and  products,  ΔH   for  a  reaction  given  a  reaction  energy  profile  

–     Distinguish  between  the  activated  complex   and  the  transition  state  

–     Determine  if  a  reaction  is  endothermic  or   exothermic  

–     Given  a  reaction  energy  profile  for  a  multi-­‐ step  mechanism,  determine  the  rate-­‐ determining  step  based  on  largest  Ea  

  Catalyst:  substance  added  to  a  system  that   lowers  the  activation  energy  of  a  reaction.   –     Know  catalysts  provide  an  alternative  

pathway  that  eases  the  collision  geometry   requirement  

–     Recognize  that  catalysts  increase  reaction   rate  without  being  consumed  in  reaction  

  –     Know  homogeneous  versus  heterogeneous   catalysts  

  –     Enzymes:  catalysts  with  unique  active  sites   that  speed  up  biochemical  reactions  

  Arrhenius  Equation:  k  =  A  e–Ea/RT   where  A=frequency  factor,  Ea=activation  energy,   R=8.3145  J/mol·∙K,  T=temperature  in  K   –     Know  that  A  reflects  the  collision  geometry  

requirement   –     Know  how  temperature  affects  k   –     Be  able  to  solve  for  any  variable  given  the       other  variables  and/or  graphical  data            

Two-­‐Point  Equation  of  Arrhenius  Equation:   –     Solve  for  the  rate  constants  or  activation  

energy  at  two  different  temperatures  

⎟ ⎠

⎞ ⎜ ⎝

⎛ −=⎟

⎠

⎞ ⎜ ⎝

⎛

21

a

1

2 T 1

T 1

R E

k k

ln  

  Reaction  Mechanisms   –     sequence  of  steps  by  which  a  reaction  occurs       at  the  molecular  level   –     The  slowest  step  in  a  mechanism  is  the  rate-­‐

determining  step   –     Given  the  reaction  mechanism  for  a  reaction,  

determine  the  rate  law     –     If  a  fast  step  is  followed  by  a  slow  step,  

express  the  rate  law  with  respect  to  only    the   reactants  (excluding  intermediates)  

–     Given  the  experimentally  determined  rate  law,   determine  the  correct  reaction  mechanism   given  possible  mechanisms  

  molecularity  of  a  reaction   –     unimolecular,  bimolecular,  termolecular   –     Explain  why  unimolecular  and  bimolecular  

steps  are  common  but  termolecular  steps  are   very  rare  

–     Determine  the  corresponding  rate  law  for  a       given  elementary  step     intermediate:  species  produced  in  an  earlier  step   and  consumed  in  later  step  of  mechanism     Distinguish  between  a  catalyst  and  an   intermediate   –     Be  able  to  identify  the  correct  mechanism  for     a  reaction  given  information  on  any  catalysts,     intermediates,  rate  laws,  and/or  reaction     orders      

   

CHEM  162  Exam  3  Review       page  3  of  4  

  CHAPTER  18:  THERMODYNAMICS     system:  that  part  of  the  universe  being  studied   surroundings:  the  rest  of  the  universe  outside  the   system     1st  Law  of  Thermodynamics:  Energy  is  neither  created   nor  destroyed.     Enthalpy  change,  ΔH  =  qreaction  at  constant   pressure  (e.g  atmospheric  pressure)   –   endothermic  reaction:  ΔH  =  +  

– energy  of  reactants  <  energy  of  products;   surroundings  feel  cooler  after  reaction;  

–   for  physical  changes,  products  have  higher   kinetic  energy  than  reactants  

–   exothermic  reaction:  ΔH  =  –   – energy  of  reactants  >  energy  of  products;  

surroundings  feel  hotter  after  reaction;   –   for  physical  changes,  products  have  lower  

kinetic  energy  than  reactants    

spontaneous  process:  occurs  without  external   intervention  or  stimulus    

nonspontaneous  process:  only  occurs  with   external  intervention  or  stimulus    

Entropy,  S:  measure  of  randomness  factor   –     Ssolid  <  Sliquid  <  Sgas   –     S=0  only  for  a  perfect  crystalline  solid  at  0K       (3rd  Law  of  Thermodynamics)   –     S  >  0  for  all  other  substances,  even  naturally    

occurring  elements;  the  more  complex  the   molecule  the  greater  its  absolute  entropy,  S°.  

–     Recognize  ΔS  is  positive  for  a  reaction  that   increases  the  #  of  moles  of  gas  particles.  

–     Recognize  if  Ssys  increases  or  decreases  based   on  increased  kinetic  energy  or  changes  in   physical  state.  

 

Calculate  ΔS°  given  S°  data     2nd  Law  of  Thermodynamics:  For  any  

spontaneous  process,  the  Suniv  increases.  

ΔSuniv  =  ΔSsys  +  ΔSsurr  

–     Recognize  that  the  Ssurr= T

HsysΔ  

  Definitions  of  standard  state     1.  A  gaseous  substance  with  P=1  atm   2.  An  aqueous  solution  with  a  concentration  of  

1M  at  a  pressure  of  1  atm   3.  Pure  liquids  and  solids   4.  The  most  stable  form  of  an  element  at  1  atm  

and  25°C     G=Gibbs  free  energy   –  Be  able  to  calculate  ΔG°  given  ΔGf°  data    

Gibbs’  Equation:  ΔG  =  ΔH  -­‐  T  ΔS    

If  ΔG  <  0  → a  spontaneous  reaction   If  ΔG  >  0  → a  nonspontaneous  reaction;    

reverse  reaction  is  spontaneous.   If  ΔG  =  0  → reaction  is  at  equilibrium    

–     Given  ΔH  and  ΔS  indicate  if  a  reaction  is   always  spontaneous,  never  spontaneous,  only   spontaneous  at  high  temperatures  or  at  low   temperatures.    

 

Two  Driving  Forces  for  a  chemical  reaction   –     Exothermicity:  a  reaction  occurs  to  form  more  

stable  compounds  with  stronger  bonds   –     Increased  Entropy:  a  reaction  occurs  to  

increase  the  number  of  available  energy  states   (higher  entropy)  

 

Standard  state  conditions:  ΔG°  =  ΔH°  -­‐  T  ΔS°   –     Be  able  to  calculate  ΔG°,  ΔH°,  T  in  Kelvins,  

and/or  ΔS°  given  the  other  variables   –     Know  standard  state  conditions            

CHEM  162  Exam  3  Review       page  4  of  4  

BE PREPARED TO SOLVE PROBLEMS COMBINING

CONCEPTS FROM VARIOUS CHAPTERS.

THE USUAL GENERAL CHEMISTRY PERIODIC TABLE WILL BE PROVIDED, ALONG WITH THE EQUATIONS ON THE FOLLOWING PAGE.

THE FOLLOWING EQUATIONS WILL ALSO BE PROVIDED:

[A]t = −kt + [A]0 t1/2 k 2

[A]0 =

ln [A]t = −kt + ln [A]0 0

t

[A] [A]

ln = −kt t1/2 k

0.693 =

t[A] 1

− 0[A]

1 = kt t1/2 =

0[A] k 1

⎟ ⎠

⎞ ⎜ ⎝

⎛ −=⎟

⎠

⎞ ⎜ ⎝

⎛

21

a

1

2 T 1

T 1

R E

k k

ln

ΔSuniv = ΔSsys + ΔSsurr Ssurr= – T

HsysΔ

ΔG = ΔG° + RT ln Q ΔG° = – RT ln K

⎟⎟ ⎠

⎞ ⎜⎜ ⎝

⎛ −=

121

2

T 1

T 1

R ΔH-

K K

ln !

and ⎟⎟ ⎠

⎞ ⎜⎜ ⎝

⎛ − =

21

21

1

2

TT TT

R ΔH-

K K

ln !