Question 1 · Medium
For a certain reaction, ΔH = −90 kJ/mol and ΔS = −200 J/K/mol, and neither changes with temperature. Under what condition can the reaction proceed spontaneously?
- AAbove 450 K
- BAt all temperatures
- CBelow 450 K
- DBelow 0.45 K
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Answer: C · Below 450 K
Spontaneity needs ΔG = ΔH − TΔS < 0. Here ΔG = −90000 + 200T, which is negative when T < 90000/200 = 450 K.
- A: This reverses the inequality; above 450 K, ΔG is positive.
- B: This holds only when ΔH is negative and ΔS is positive.
- D: This forgets to convert kJ to J.
Remember this
With ΔH and ΔS both negative, a reaction is spontaneous only below T = ΔH/ΔS.