Which of the following pairs shows the correct relative magnitude of standard molar entropy (S°) ? All systems are for the same amount of substance

Answer

Standard Molar Entropy Comparison

📚 Concept: Standard Molar Entropy (S°)

Standard molar entropy refers to the absolute entropy of 1 mole of a substance at 25°C and 1 atm. The magnitude of entropy generally follows these trends:

  • Gases > Liquids > Solids (in terms of entropy)
  • More complex or heavier molecules tend to have higher entropy than simpler or lighter ones in the same phase.
  • Aqueous ions tend to have lower entropy than gaseous species due to solvation ordering.

❌ Incorrect Options Explained

H₂S(aq) > H₂S(g) ❌ — Gases have more entropy than aqueous forms.
Li(s) > Pb(s) ❌ — Heavier atoms like Pb(s) have more microstates and greater entropy than lighter ones like Li(s).
H₂(g) > H₂O(g) ❌ — H₂O is a polyatomic molecule with more vibrational modes, hence higher entropy than diatomic H₂.
NaCl(s) > NaCl(aq) ❌ — Dissolving a salt increases disorder, so NaCl(aq) has higher entropy.

✅ Correct Option

CO₂(g) > CO(g) — Correct ✔️
CO₂ is a heavier and more complex molecule than CO, so it has greater standard molar entropy at 25°C.

🧠 Final Answer:

CO₂(g) > CO(g)

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