Standard Entropy Change and Spontaneity

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SUMMARY

The discussion centers on the non-spontaneity of the decomposition of quartz (SiO2) into silicon (Si) and oxygen (O2) at 25°C, despite a large positive standard entropy change (ΔS = +182.02 J K-1). The key takeaway is that the criterion for spontaneity is not solely based on ΔS; instead, the Gibbs free energy change (ΔG) must be negative (ΔG < 0) for a reaction to be spontaneous under constant temperature and pressure conditions. The relationship ΔG = ΔH - TΔS is crucial for understanding this concept.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically Gibbs free energy.
  • Familiarity with entropy and its role in chemical reactions.
  • Knowledge of the relationship between temperature, enthalpy, and entropy.
  • Basic grasp of constant temperature and pressure conditions in thermodynamics.
NEXT STEPS
  • Study the Gibbs free energy equation and its implications for chemical spontaneity.
  • Explore the concept of enthalpy (ΔH) and its influence on reaction spontaneity.
  • Investigate the conditions under which entropy changes affect reaction feasibility.
  • Learn about thermodynamic equilibrium and its relation to spontaneity in reactions.
USEFUL FOR

Chemistry students, educators, and professionals in thermodynamics or physical chemistry who seek to deepen their understanding of reaction spontaneity and the role of entropy and Gibbs free energy.

jayred
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Homework Statement



Quartz, SiO2(s), does not spontaneously decompose to silicon and oxygen at 25C in the reaction:

SiO2(s) -> Si(s) + O2(g)

even though the standard entropy change of the reaction is large and positive (delta S = +182.02 J K-1). Explain.

-------------------------

So, how do I explain that this is the case? The book only describes that when delta S > 0 the reaction is spontaneous with no exceptions.

Thanks!
 
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Hi jayred, welcome to PF. The \Delta S&gt;0 criterion for spontaneity applies to systems at constant energy and volume. For systems at constant temperature and pressure, we use \Delta G&lt;0 (where G is the Gibbs free energy) as the criterion for spontaneity.
 
Note, that

\Delta G = \Delta H - T \Delta S
 

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