JEE Main · 2023 · Shift-IImediumPERI-059

For electron gain enthalpies of the elements denoted as egH, the incorrect option is:

Classification of Elements & Periodicity · Class 11 · JEE Main Previous Year Question

Question

For electron gain enthalpies of the elements denoted as ΔegH\Delta_{eg}H, the incorrect option is:

Options
  1. a

    ΔegH(\ceCl)<ΔegH(\ceF)\Delta_{eg}H(\ce{Cl}) < \Delta_{eg}H(\ce{F})

  2. b

    ΔegH(\ceSe)<ΔegH(\ceS)\Delta_{eg}H(\ce{Se}) < \Delta_{eg}H(\ce{S})

  3. c

    ΔegH(\ceI)<ΔegH(\ceAt)\Delta_{eg}H(\ce{I}) < \Delta_{eg}H(\ce{At})

  4. d

    ΔegH(\ceTe)<ΔegH(\cePo)\Delta_{eg}H(\ce{Te}) < \Delta_{eg}H(\ce{Po})

Correct Answerb

ΔegH(\ceSe)<ΔegH(\ceS)\Delta_{eg}H(\ce{Se}) < \Delta_{eg}H(\ce{S})

Detailed Solution

🧠 ΔegH\Delta_{eg}H is a signed value — "<<" here means the actual number is smaller (more negative). Check each statement against the data The trick is to remember this is number-line "less than", not magnitude-less-than. So 349<328-349 < -328 is true (349-349 sits to the left of 328-328). Now scan options.

🗺️ Standard ΔegH\Delta_{eg}H values (kJ/mol) \ceCl=349\ce{Cl} = -349, \ceF=328\ce{F} = -328, \ceBr=325\ce{Br} = -325, \ceI=295\ce{I} = -295, \ceAt=270\ce{At} = -270, \ceS=200\ce{S} = -200, \ceSe=195\ce{Se} = -195, \ceTe=190\ce{Te} = -190, \cePo=174\ce{Po} = -174.

Check each: (a) 349<328-349 < -328? Yes — Cl is more negative than F. True statement. (b) 195<200-195 < -200? No — 195-195 is greater than 200-200 on the number line. False statement — this is the incorrect option. (c) 295<270-295 < -270? Yes. True statement. (d) 190<174-190 < -174? Yes. True statement.

So the incorrect option is (b).

⚠️ The trap Students mix up "more negative magnitude" with "less than". The "<<" symbol is strict number-line comparison. Negative numbers further from zero are smaller, not bigger. 200<195-200 < -195 because 200-200 is to the left of 195-195. So the claim "Se < S" means "195<200-195 < -200" which is false; the truth is "Se > S" in the signed-value sense, even though S is more exothermic in magnitude.

Answer: (b)\boxed{\text{Answer: (b)}}

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