MCQMediumJEE 2026Electron Gain Enthalpy & Electronegativity

JEE Chemistry 2026 Question with Solution

Given below are two statements :

Statement I : The correct order in terms of atomic/ionic radii is Al>Mg>Mg2+>Al3+Al > Mg > Mg^{2+} > Al^{3+}.

Statement II : The correct order in terms of the magnitude of electron gain enthalpy is Cl>Br>S>OCl > Br > S > O.

In the light of the above statements, choose the correct answer from the options given below :

  • A

    Both Statement I and Statement II are false

  • B

    Both Statement I and Statement II are true

  • C

    Statement I is false but Statement II is true

  • D

    Statement I is true but Statement II is false

Answer

Correct answer:C

Step-by-step solution

Standard Method

Given: Two statements about atomic/ionic radii and electron gain enthalpy are to be checked.

Find: Which option correctly identifies the truth values of Statement I and Statement II.

Statement I: Across Period 3, atomic radius decreases from left to right. Therefore,

Mg>AlMg > Al

Also, Mg2+Mg^{2+} and Al3+Al^{3+} are isoelectronic. For isoelectronic species, higher positive charge means smaller radius. Hence,

Mg2+>Al3+Mg^{2+} > Al^{3+}

So the correct overall order is

Mg>Al>Mg2+>Al3+Mg > Al > Mg^{2+} > Al^{3+}

Therefore, Statement I is false.

Statement II: The magnitude of electron gain enthalpy is higher for halogens than for Group 16 elements. Also, chlorine has higher magnitude than bromine, and sulfur has higher magnitude than oxygen because of greater interelectronic repulsion in the small oxygen atom.

Cl>Br>S>OCl > Br > S > O

Therefore, Statement II is true.

Hence, Statement I is false but Statement II is true. The correct option is C.

Using periodic trends and isoelectronic comparison

Given:

  • A radius-order statement involving AlAl, MgMg, Mg2+Mg^{2+}, and Al3+Al^{3+}
  • An electron gain enthalpy order involving ClCl, BrBr, SS, and OO

Find: Evaluate each statement using periodic properties.

  1. Atomic size trend: Atomic radius decreases across a period because effective nuclear charge increases.
  2. Since MgMg lies to the left of AlAl in Period 3,
Mg>AlMg > Al
  1. Cation size trend: Cations are smaller than their parent atoms.
  2. Isoelectronic ion comparison: Mg2+Mg^{2+} and Al3+Al^{3+} have the same number of electrons. Among isoelectronic species, radius decreases as nuclear charge increases. Therefore,
Mg2+>Al3+Mg^{2+} > Al^{3+}
  1. Combining these results,
Mg>Al>Mg2+>Al3+Mg > Al > Mg^{2+} > Al^{3+}

So the proposed order in Statement I is incorrect, hence false.

For Statement II, electron gain enthalpy generally becomes more negative across a period and less negative down a group, with known exceptions.

  • Among halogens,
Cl>BrCl > Br

in magnitude.

  • Between SS and OO, sulfur has greater magnitude than oxygen because the very small size of oxygen causes stronger electron-electron repulsion in the compact 2p2p subshell.
S>OS > O

Thus,

Cl>Br>S>OCl > Br > S > O

This order is correct in magnitude, so Statement II is true.

Therefore, the final conclusion is: Statement I is false but Statement II is true, so the correct option is C.

Common mistakes

  • Comparing AlAl and MgMg in the wrong direction across the period. This is incorrect because atomic radius decreases from left to right in a period. Use the periodic trend first: Mg>AlMg > Al.

  • Assuming isoelectronic ions have similar radii without checking nuclear charge. This is wrong because among isoelectronic species, higher nuclear charge pulls electrons more strongly and reduces size. Therefore, Mg2+>Al3+Mg^{2+} > Al^{3+}, not the reverse.

  • Assuming electron gain enthalpy always follows simple top-right increase without exceptions. This misses the anomaly between OO and SS. Because oxygen is very small, added-electron repulsion is larger, so sulfur has greater magnitude of electron gain enthalpy than oxygen.

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