STAGE B – Page 2

IIT Thermodynamics Illusion Questions & Trap Killers

⚠️ TRAP 1: “No Work Done” ≠ “No Energy Change”

Illusion: If W = 0, students assume ΔU = 0.

Reality:

  • Isochoric process → W = 0
  • But temperature can change
  • So ΔU ≠ 0

Killer Rule: ΔU depends only on ΔT.

⚠️ TRAP 2: “Adiabatic” Means No Heat, Not No Temperature Change

  • Adiabatic → Q = 0
  • Temperature still changes
  • Pressure & volume change together

IIT Trick: Many options wrongly say “T constant”.

⚠️ TRAP 3: Cyclic Process & Heat Confusion

Given: System returns to initial state.

  • ΔU = 0 always
  • But Q and W are NOT zero
  • Only net Q = net W

Trap: Options saying “no heat exchange” are wrong.

⚠️ TRAP 4: Bigger Area ≠ More Work (Sign Matters)

  • Clockwise PV cycle → Work positive
  • Anticlockwise PV cycle → Work negative

IIT Loves: Same area, opposite sign.

⚠️ TRAP 5: Entropy of System vs Universe

  • System entropy can decrease
  • Universe entropy never decreases

Golden Filter: Always ask – system or universe?

⚠️ TRAP 6: Free Expansion = Zero Work AND Zero Heat

  • No external pressure → W = 0
  • Insulated → Q = 0
  • Yet entropy increases

JEE Favorite: Irreversible process.

⚠️ TRAP 7: Efficiency vs Performance

  • Engine → Efficiency (η)
  • Refrigerator → COP
  • Heat pump → Different COP

Trap: Mixing formulas = instant zero.

⚠️ TRAP 8: Same Initial & Final State ≠ Same Heat

  • ΔU same
  • Q depends on path
  • W depends on path

Memory Hack: Only U is loyal.

⚠️ TRAP 9: Kelvin–Planck vs Clausius Statements

  • Kelvin–Planck → No 100% efficient engine
  • Clausius → Heat won’t flow cold → hot alone

Truth: Both are equivalent.

✅ IIT Elimination Strategy (Instant)

  • If violates 2nd law → Reject
  • If efficiency > Carnot → Reject
  • If entropy decreases for universe → Reject
  • If ignores sign convention → Reject

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