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Weely Web Work #10:

Are You Spontaneous?
(What's the sign of DG?)

This assignment was due by noon on Tuesday, April 1, 2003.

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Why do some chemical reactions occur and others don't? Some reactions are spontaneous — once the reaction is started it will proceed on its own. Others are nonspontaneous — the reaction needs a constant supply of energy. The free energy change (DG) is the measure of the spontaneity of a reaction.

Two factors determine the spontaneity of a reaction, the enthalpy change (DH) and the entropy change (DS). When a reaction is exothermic (DH < 0), spontaneity is likely, but a negative DH alone is not sufficient to predict spontaneity with certainty.

A process that becomes more disordered (DS > 0) has a tendency toward spontaneity, because disorder is the natural tendency of the universe. However, a positive entropy change alone is not sufficient to predict spontaneity with certainty.

Both DH and DS must be examined together, along with the reaction temperature, in order to determine if a process is (or is not) spontaneous. This equation shows the relationship between DH, DS, and the Kelvin temperature.

Unlike DH and DS individually, DG is a definitive predictor of spontaneity. A reaction is spontaneous if DG < 0. A reaction is nonspontaneous if DG > 0.

This was a condensed summary of material covered in lecture on Monday, March 24 and Wednesday, March 26. If reading the preceding paragraphs was like reading Greek (or geek), you may wish to review your lecture notes and read section 7.3 of the textbook before continuing. Understanding these concepts and terminology is very important to successful completion of this assignment.


Potassium chlorate explosively decomposes to form potassium chloride. In doing so, a lot of heat is released.

1. Is this reaction endothermic or exothermic? What is the sign of DH?
 
2.

Is this reaction becoming more disordered or more ordered? What is the sign of DS? (Hint: On which side of the reaction arrow are there more moles of gas?)

 
3. Is this reaction always spontaneous, spontaneous only at low temperatures, spontaneous only at high temperatures, or never spontaneous?
 
Always spontaneous
Spontaneous only at low temperatures
Spontaneous only at high temperatures
Nonspontaneous at all temperatures
 
4. Is the reverse of this reaction spontaneous or nonspontaneous? Why?
 

Sulfur dioxide reacts with oxygen to form sulfur trioxide.

DH = – 198 kJ and DS = – 0.187 kJ/K

5. Is this reaction endothermic or exothermic?
 
6.

Is this reaction becoming more disordered or more ordered? Is the sign of DS consistent with the information available from the balanced chemical equation?

 
7. Is this reaction always spontaneous, spontaneous only at low temperatures, spontaneous only at high temperatures, or never spontaneous?
 
Always spontaneous
Spontaneous only at low temperatures
Spontaneous only at high temperatures
Nonspontaneous at all temperatures
 
8. Calculate the free energy change (DG) for this reaction at 298 K. Is the reaction spontaneous at this temperature? How do you know?
 
9. Calculate the free energy change (DG) for this reaction at 1098 K. Is the reaction spontaneous at this temperature? How do you know?
 
   

For the reaction of diamond to graphite, DG = – 0.693 kcal/mol at 25oC.

10. According to this information, do diamonds spontaneously turn into graphite? Explain.
 

 

Since we don't observe diamonds turning into graphite, something else must be going on. A negative value for DG indicates that a reaction is spontaneous — once started the reaction will proceed on its own. What DG does not tell us is how quickly the reaction will occur. It just so happens that diamond turning into graphite is an incredibly slow reaction. Monday's (3/31) lecture is on kinetics, the study of the rate (speed) of chemical reactions.


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