JEE Main · 2019 · Shift-IIeasyTHERMO-023

The incorrect match in the following is:

Thermodynamics · Class 11 · JEE Main Previous Year Question

Question

The incorrect match in the following is:

Options
  1. a

    ΔG0<0,  K>1\Delta G^0 < 0,\; K > 1

  2. b

    ΔG0>0,  K<1\Delta G^0 > 0,\; K < 1

  3. c

    ΔG0=0,  K=1\Delta G^0 = 0,\; K = 1

  4. d

    ΔG0<0,  K<1\Delta G^0 < 0,\; K < 1

Correct Answerd

ΔG0<0,  K<1\Delta G^0 < 0,\; K < 1

Detailed Solution

🧠 ΔG=RTlnK\Delta G^\circ = -RT\ln K: the sign of ΔG\Delta G^\circ directly fixes whether K>1K > 1 or K<1K < 1 If ΔG<0\Delta G^\circ < 0, then lnK>0\ln K > 0, so K>1K > 1 (product-favoured). If ΔG>0\Delta G^\circ > 0, then K<1K < 1.

🗺️ Checking each match (a) ΔG<0\Delta G^\circ < 0, K>1K > 1 → Correct. ✓ (b) ΔG>0\Delta G^\circ > 0, K<1K < 1 → Correct. ✓ (c) ΔG=0\Delta G^\circ = 0, K=1K = 1 → Correct (ln1=0\ln 1 = 0). ✓ (d) ΔG<0\Delta G^\circ < 0, K<1K < 1Incorrect. If ΔG<0\Delta G^\circ < 0, then K>1K > 1, not <1< 1. ✗

⚠️ Many students get (a) and (d) confused because both involve ΔG<0\Delta G^\circ < 0. The rule is simple: negative ΔG\Delta G^\circ always means K>1K > 1.

Answer: (d)\boxed{\text{Answer: (d)}}

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