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IB Chemistry Power Points

                              Topic 15
                             Energetics
www.pedagogics.ca



                     LESSON
                     Entropy
                    Spontaneity
ENTROPY
Entropy, S is a measure of the DISORDER or
randomness of a system.
A single coin can have 2 possible configurations.
A system of 4 coins can have 16 (more disorder)
The greater the number of configurations (or microstates) in
a particular system, the greater the entropy (disorder) of the
system
Entropy on the Molecular Scale

Implications to a chemical system (MUST KNOW):

• more particles
           -> more states            -> more entropy

• higher T
             -> more energy states    -> more entropy

• less structure (gas vs solid)
             -> more states          -> more entropy
Entropy changes (dissolving)

             ΔS = Sfinal – Sinitial
Entropy changes (heating)

             ΔS = Sfinal – Sinitial
Entropy changes (change of state)

             ΔS = Sfinal – Sinitial
ѳ
Standard entropy values: S
 The standard entropy value for a substance is defined
 as the entropy increase of the substance when heated
 from 0 K to 298 K (standard conditions)

       standard entropy is an absolute value


 The standard entropy change for a reaction can be
 determined by:
              ѳ        ѳ                 ѳ
          ΔS = ΣS          products   – ΣS   reactants
Consider the following reaction



Describe the change in entropy in this reaction.

Calculate the change in entropy in this reaction.
Spontaneous Processes
• Spontaneous processes
  are those that can
  proceed without any
  outside intervention.
• The gas in vessel B will
  spontaneously effuse into
  vessel A, but once the
  gas is in both vessels,
  returning to the original
  state is not spontaneous
Spontaneous Processes
            Processes that are spontaneous
            in one direction are non
            spontaneous in the reverse
            direction.
Spontaneous Processes
• Processes that are spontaneous at one
  temperature may be nonspontaneous at other
  temperatures.
• Above 0 C it is spontaneous for ice to melt.
• Below 0 C the reverse process is spontaneous.
Spontaneous reactions produce substantial
18.
amounts of products at equilibrium and release free
4
energy.


  Free energy is energy that is available to do work

  The Gibbs free energy change, G is the maximum
  amount of free energy that can be extracted to do work.
Gibbs Free Energy Change
               (some things to know)


1. If the G (for a particular reaction under a specific set
   of conditions) is negative, the forward reaction is
   spontaneous. (or vice versa)

2. The G for a reaction can be determined from
   standard free energies of formation, Gf values
   available on Data Tables. This is analogous to using
   standard enthalpies of formation, Hf values.
The key equation to predict spontaneity:


             G           H T S
This equation shows how G changes with
temperature.




     (We assume S & H values are not affected by T.)
Free Energy and Temperature

• There are two parts to the free energy
  equation:
     H        the enthalpy term
   T S        the entropy term


• The temperature dependence of
  spontaneity comes from the entropy
  term.
By knowing the sign (+ or -) of S and H, we can
get the sign of G and determine if a reaction is
spontaneous.
endothermic so ΔH must be positive
entropy increasing so ΔS must be positive
G   H T S
      3
176 10    298 284
              1
 91368 Jmol
              1
 91.4 kJmol
                  not spontaneous
G       H T S
                   3
        176 10          298 284
                            1
          91368 Jmol
                           1
          91.4 kJmol
increase in temperature increases spontaneity
G        H T S
                3
0 176 10            T 284
T       620 K
         o
    346 C

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2012 15 3 and 15 4

  • 1. IB Chemistry Power Points Topic 15 Energetics www.pedagogics.ca LESSON Entropy Spontaneity
  • 2. ENTROPY Entropy, S is a measure of the DISORDER or randomness of a system. A single coin can have 2 possible configurations. A system of 4 coins can have 16 (more disorder)
  • 3. The greater the number of configurations (or microstates) in a particular system, the greater the entropy (disorder) of the system
  • 4. Entropy on the Molecular Scale Implications to a chemical system (MUST KNOW): • more particles -> more states -> more entropy • higher T -> more energy states -> more entropy • less structure (gas vs solid) -> more states -> more entropy
  • 5. Entropy changes (dissolving) ΔS = Sfinal – Sinitial
  • 6. Entropy changes (heating) ΔS = Sfinal – Sinitial
  • 7. Entropy changes (change of state) ΔS = Sfinal – Sinitial
  • 8. ѳ Standard entropy values: S The standard entropy value for a substance is defined as the entropy increase of the substance when heated from 0 K to 298 K (standard conditions) standard entropy is an absolute value The standard entropy change for a reaction can be determined by: ѳ ѳ ѳ ΔS = ΣS products – ΣS reactants
  • 9. Consider the following reaction Describe the change in entropy in this reaction. Calculate the change in entropy in this reaction.
  • 10. Spontaneous Processes • Spontaneous processes are those that can proceed without any outside intervention. • The gas in vessel B will spontaneously effuse into vessel A, but once the gas is in both vessels, returning to the original state is not spontaneous
  • 11. Spontaneous Processes Processes that are spontaneous in one direction are non spontaneous in the reverse direction.
  • 12. Spontaneous Processes • Processes that are spontaneous at one temperature may be nonspontaneous at other temperatures. • Above 0 C it is spontaneous for ice to melt. • Below 0 C the reverse process is spontaneous.
  • 13. Spontaneous reactions produce substantial 18. amounts of products at equilibrium and release free 4 energy. Free energy is energy that is available to do work The Gibbs free energy change, G is the maximum amount of free energy that can be extracted to do work.
  • 14. Gibbs Free Energy Change (some things to know) 1. If the G (for a particular reaction under a specific set of conditions) is negative, the forward reaction is spontaneous. (or vice versa) 2. The G for a reaction can be determined from standard free energies of formation, Gf values available on Data Tables. This is analogous to using standard enthalpies of formation, Hf values.
  • 15. The key equation to predict spontaneity: G H T S This equation shows how G changes with temperature. (We assume S & H values are not affected by T.)
  • 16. Free Energy and Temperature • There are two parts to the free energy equation:  H the enthalpy term  T S the entropy term • The temperature dependence of spontaneity comes from the entropy term.
  • 17. By knowing the sign (+ or -) of S and H, we can get the sign of G and determine if a reaction is spontaneous.
  • 18.
  • 19. endothermic so ΔH must be positive
  • 20. entropy increasing so ΔS must be positive
  • 21. G H T S 3 176 10 298 284 1 91368 Jmol 1 91.4 kJmol not spontaneous
  • 22. G H T S 3 176 10 298 284 1 91368 Jmol 1 91.4 kJmol increase in temperature increases spontaneity
  • 23. G H T S 3 0 176 10 T 284 T 620 K o 346 C