JEE MainChemistryThermodynamicsMCQ+4 / −1
Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However, the reaction is spontaneous at boiling point of water. Choose the correct option.
- ABoth and are (-ve)
- Bis but is (-ve)
- Cis but is (+ve)
- DBoth and are (+ve)
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Correct answer: D
- For spontaneity, we use the Gibbs free energy relation:
A reaction is spontaneous when:
and non-spontaneous when:
- The question states that the reaction is endothermic.
So,
This already rules out options A and C.
- The reaction is non-spontaneous at the freezing point of water (), but spontaneous at the boiling point of water ().
That means:
- At lower temperature:
- At higher temperature:
- Since
and increasing temperature makes the reaction become spontaneous, the term must become more negative as increases.
This is possible only if:
Because if were negative, then would be positive and increasing temperature would make even more positive, not negative.
- Therefore, we have:
- Now evaluate the options:
- A: , → incorrect
- B: , → incorrect
- C: , → incorrect
- D: , → correct
Therefore, the correct option is:
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