Question 7

MCQMEDIUM

The correct statement(s) regarding the periodic properties of elements is(are)

(A) Second ionization enthalpy of carbon atom is less than that of boron atom. (B) Increasing order of ionic radii: Al3+<Mg2+<Na+Al^{3+} < Mg^{2+} < Na^+ (C) Under identical conditions, in solid state, the density of potassium metal is more than density of sodium metal. (D) The H−HH-H bond is weaker than F−FF-F bond.

(A)

Second ionization enthalpy of carbon atom is less than that of boron atom.

(B)

Increasing order of ionic radii: Al3+<Mg2+<Na+Al^{3+} < Mg^{2+} < Na^+

(C)

Under identical conditions, in solid state, the density of potassium metal is more than density of sodium metal.

(D)

The H−HH-H bond is weaker than F−FF-F bond.

Detailed Solution

Analyze each option: (A) The electronic configuration of B+B^+ is 1s22s21s^2 2s^2 (stable fully filled subshell) and C+C^+ is 1s22s22p11s^2 2s^2 2p^1. Removing an electron from the stable 2s2s subshell of B+B^+ requires more energy than removing it from the 2p2p subshell of C+C^+. Thus, IE2(C)<IE2(B)IE_2(C) < IE_2(B). This is correct. (B) Al3+Al^{3+}, Mg2+Mg^{2+}, and Na+Na^+ are isoelectronic species (all have 10 electrons). For isoelectronic species, the ionic radius decreases as the nuclear charge (ZZ) increases. Nuclear charges are Na(11)<Mg(12)<Al(13)Na (11) < Mg (12) < Al (13). Thus, the radii order is Al3+<Mg2+<Na+Al^{3+} < Mg^{2+} < Na^+. This is correct. (C) In Group 1, density generally increases down the group, but potassium is less dense than sodium (dNa≈0.97d_{Na} \approx 0.97 g/cm3^3, dK≈0.86d_K \approx 0.86 g/cm3^3) due to a large increase in atomic volume. This is incorrect. (D) The H−HH-H bond enthalpy is ≈436\approx 436 kJ/mol, while the F−FF-F bond enthalpy is ≈158\approx 158 kJ/mol. The F−FF-F bond is weaker due to strong lone pair-lone pair repulsions between the small fluorine atoms. This is incorrect.

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