Why would a reaction be nonspontaneous at higher temperatures?

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Discussion Overview

The discussion revolves around the conditions under which a chemical reaction may be nonspontaneous at higher temperatures, particularly focusing on the implications of the Gibbs free energy equation. Participants explore the relationship between enthalpy, entropy, and temperature in determining spontaneity, as well as the role of the van't Hoff equation and equilibrium constants.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that for a reaction with negative enthalpy (exothermic) and negative entropy, the Gibbs free energy becomes positive at higher temperatures, suggesting nonspontaneity.
  • Others question why some reactions are only spontaneous at lower temperatures despite the general expectation that higher temperatures increase reaction rates.
  • There is a suggestion to analyze the situation using the van't Hoff equation and to consider the behavior of the equilibrium constant as a function of temperature.
  • One participant proposes that if a reaction is nonspontaneous at high temperatures, its reverse reaction must be spontaneous at those temperatures, indicating a complex interplay between forward and reverse reactions.
  • Another participant speculates that an exothermic reaction that reduces the entropy of its system at high temperatures may not occur due to potential violations of the second law of thermodynamics, as it could lead to a decrease in the overall entropy of the universe.
  • There is a mention that the criterion of negative Gibbs free energy for spontaneity is a rule of thumb, implying that reactions can still occur under certain conditions even if this criterion is not met.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the conditions for spontaneity at higher temperatures, and the discussion remains unresolved with no consensus on the underlying reasons for nonspontaneity in specific cases.

Contextual Notes

Participants reference the Gibbs free energy equation and the van't Hoff equation, but there are unresolved assumptions regarding the definitions of spontaneity and the behavior of equilibrium constants at varying temperatures.

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TL;DR
Typically we think of a higher temperature speeding up the reaction rate and/or supplying the activation energy of a reaction. So why is it the case that some reactions are only spontaneous at lower temperatures?
Using the gibbs free energy equation ## \Delta G = \Delta H - T \Delta S ##, If I have a reaction where ##\Delta H## is negative (exothermic?) and ## \Delta S## is negative it makes ##\Delta G## positive at higher temperatures which means the reaction is nonspontaneous at higher temperatures. Why would this be the case?
 
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Jaccobtw said:
Summary: Typically we think of a higher temperature speeding up the reaction rate and/or supplying the activation energy of a reaction. So why is it the case that some reactions are only spontaneous at lower temperatures?

Using the gibbs free energy equation ## \Delta G = \Delta H - T \Delta S ##, If I have a reaction where ##\Delta H## is negative (exothermic?) and ## \Delta S## is negative it makes ##\Delta G## positive at higher temperatures which means the reaction is nonspontaneous at higher temperatures. Why would this be the case?
Did you show this with the van't Hoff equation? What does the equilibrium constant look like as a function of temperature. What is the value of K at 25C?
 
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Chestermiller said:
Did you show this with the van't Hoff equation? What does the equilibrium constant look like as a function of temperature. What is the value of K at 25C?
The way I understand it is if a reaction in nonspontaneous at a high temperature, then its opposite reaction is spontaneous at that same high temperature. So a reaction is still spontaneous if the parts are there.

As far as why can't an exothermic reaction that reduces entropy of its system (rather than surroundings) occur at a high temperature (## \Delta H ## is negative, ##T## is high, ##\Delta S## is negative) is because (my guess) it would break the second law of thermodynamics. An exothermic reaction at high temperatures barely increases the relative entropy of the surroundings while decreasing the entropy of the system more, leading to an overall decrease in entropy of the universe.
 
Jaccobtw said:
The way I understand it is if a reaction in nonspontaneous at a high temperature, then its opposite reaction is spontaneous at that same high temperature. So a reaction is still spontaneous if the parts are there.

As far as why can't an exothermic reaction that reduces entropy of its system (rather than surroundings) occur at a high temperature (## \Delta H ## is negative, ##T## is high, ##\Delta S## is negative) is because (my guess) it would break the second law of thermodynamics. An exothermic reaction at high temperatures barely increases the relative entropy of the surroundings while decreasing the entropy of the system more, leading to an overall decrease in entropy of the universe.
You realize that this thing about ##\Delta G^0## having to be negative in order for a reaction to be spontaneous is just a rule of thumb, right? If simply means that the equilibrium constant is > 1. All reactions will occur spontaneously to some extent if you mix pure reactants, and all reactions will occur spontaneously in reverse to some extent if you mix pure products.
 
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