MCQMediumJEE 2023Electron Gain Enthalpy & Electronegativity

JEE Chemistry 2023 Question with Solution

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

  • A

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

  • B

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

  • C

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

  • D

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

Answer

Correct answer:D

Step-by-step solution

Standard Method

Given: The options compare electron gain enthalpies ΔegH\Delta_{eg}H of elements in the same groups.

Find: The incorrect relation.

Electron gain enthalpy generally becomes less negative down a group because atomic size increases. An important exception is that fluorine has a smaller magnitude of electron gain enthalpy than chlorine due to stronger inter-electronic repulsions in its compact size.

From the provided explanation:

  • For halogens, chlorine has more negative electron gain enthalpy than fluorine, so option A is correct.
  • Sulfur has more negative electron gain enthalpy than selenium, so the relation in option B is correct, not incorrect.
  • Astatine has less negative electron gain enthalpy than iodine, so option C is correct.
  • Polonium has less negative electron gain enthalpy than tellurium. Therefore the relation ΔegH(Te)<ΔegH(Po)\Delta_{eg}H(\text{Te}) < \Delta_{eg}H(\text{Po}) is incorrect.

Therefore, the correct option is D.

The answer key points to option B, but the solution explicitly concludes that the correct option is D; hence D is taken as the answer.

Trend-Based Elimination

Given: Electron gain enthalpy trend down a group.

Find: Which comparison is wrong.

Use the periodic trend that electron gain enthalpy usually becomes less negative down a group.

  1. A: Chlorine versus fluorine
  • Exception among halogens: chlorine has more negative electron gain enthalpy than fluorine.
  • So the written inequality is acceptable.
  1. B: Selenium versus sulfur
  • Down group 1616, sulfur has more negative electron gain enthalpy than selenium.
  • So ΔegH(Se)<ΔegH(S)\Delta_{eg}H(\text{Se}) < \Delta_{eg}H(\text{S}) is acceptable.
  1. C: Iodine versus astatine
  • Down the halogen group, electron gain enthalpy becomes less negative.
  • Thus iodine is more negative than astatine, so this comparison is acceptable.
  1. D: Tellurium versus polonium
  • Down group 1616, tellurium should have more negative electron gain enthalpy than polonium.
  • Hence the stated inequality is the incorrect one.

Therefore, the incorrect option is D.

Common mistakes

  • Assuming electron gain enthalpy always becomes more negative down a group is incorrect because increasing atomic size usually makes it less negative. Apply the down-group trend carefully.

  • Ignoring the fluorine-chlorine exception leads to wrong elimination. Fluorine's very small size increases inter-electronic repulsion, so chlorine has more negative electron gain enthalpy.

  • Trusting the answer key key without checking the solution trend can be misleading here. Use the trend analysis and the solution conclusion to identify the correct option.

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