Standard Entropy Change and Spontaneity

In summary, the spontaneous decomposition of quartz into silicon and oxygen does not occur at 25C because the reaction is not at constant energy and volume, and therefore the criterion for spontaneity is \Delta G<0.
  • #1
jayred
3
0

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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  • #2
Hi jayred, welcome to PF. The [itex]\Delta S>0[/itex] criterion for spontaneity applies to systems at constant energy and volume. For systems at constant temperature and pressure, we use [itex]\Delta G<0[/itex] (where G is the Gibbs free energy) as the criterion for spontaneity.
 
  • #3
Note, that

[tex]\Delta G = \Delta H - T \Delta S[/tex]
 

What is standard entropy change?

Standard entropy change, denoted as ΔS°, is a measure of the change in disorder or randomness of a system during a chemical reaction or physical process. It is calculated using the difference in the standard entropy values of the products and reactants.

How is standard entropy change related to spontaneity?

In general, a positive standard entropy change indicates an increase in disorder, which is favorable for spontaneity. A negative standard entropy change indicates a decrease in disorder, which is unfavorable for spontaneity. However, other factors such as enthalpy change and temperature also play a role in determining spontaneity.

What units is standard entropy change measured in?

Standard entropy change is typically measured in joules per mole per kelvin (J/mol*K) in the SI system. However, it can also be expressed in other units such as calories per mole per kelvin (cal/mol*K).

How can standard entropy change be calculated?

Standard entropy change can be calculated using the formula ΔS° = ΣnS°(products) - ΣnS°(reactants), where n is the number of moles of each substance and S° is the standard molar entropy value. These values can be found in reference tables or calculated using statistical thermodynamics.

Can standard entropy change be negative?

Yes, standard entropy change can be negative if the disorder of the products is lower than that of the reactants. This typically occurs in processes where molecules become more organized or structured, such as in condensation reactions. A negative standard entropy change makes a reaction less favorable for spontaneity, but other factors may still allow the reaction to occur.

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