JEE Main · 2023 · Shift-IImediumBOND-427

Identify the correct order of standard enthalpy of formation of sodium halides.

Chemical Bonding · Class 11 · JEE Main Previous Year Question

Question

Identify the correct order of standard enthalpy of formation of sodium halides.

Options
  1. a

    \ceNaI<\ceNaBr<\ceNaF<\ceNaCl\ce{NaI} < \ce{NaBr} < \ce{NaF} < \ce{NaCl}

  2. b

    \ceNaI<\ceNaBr<\ceNaCl<\ceNaF\ce{NaI} < \ce{NaBr} < \ce{NaCl} < \ce{NaF}

  3. c

    \ceNaF<\ceNaCl<\ceNaBr<\ceNaI\ce{NaF} < \ce{NaCl} < \ce{NaBr} < \ce{NaI}

  4. d

    \ceNaCl<\ceNaF<\ceNaBr<\ceNaI\ce{NaCl} < \ce{NaF} < \ce{NaBr} < \ce{NaI}

Correct Answerb

\ceNaI<\ceNaBr<\ceNaCl<\ceNaF\ce{NaI} < \ce{NaBr} < \ce{NaCl} < \ce{NaF}

Detailed Solution

🧠 Smaller anion → stronger lattice energy → more negative formation enthalpy For sodium halides, lattice energy is the main driver of ΔHf\Delta H_f. The cation is fixed (\ceNa+\ce{Na+}), so the anion size decides everything. Smaller anion sits closer to \ceNa+\ce{Na+}, stronger ionic attraction, more energy released on formation.

🗺️ Order by anion size Anion size: \ceF<\ceCl<\ceBr<\ceI\ce{F^-} < \ce{Cl^-} < \ce{Br^-} < \ce{I^-}. Lattice energy: \ceNaF>\ceNaCl>\ceNaBr>\ceNaI\ce{NaF} > \ce{NaCl} > \ce{NaBr} > \ce{NaI}. ΔHf\Delta H_f (in kJ/mol): \ceNaF\ce{NaF}: 576-576 (most negative). \ceNaCl\ce{NaCl}: 411-411. \ceNaBr\ce{NaBr}: 361-361. \ceNaI\ce{NaI}: 288-288 (least negative).

Increasing order of ΔHf\Delta H_f (least negative to most negative): \ceNaI<\ceNaBr<\ceNaCl<\ceNaF\ce{NaI} < \ce{NaBr} < \ce{NaCl} < \ce{NaF}.

⚠️ The trap Option (a) flips \ceNaF\ce{NaF} and \ceNaCl\ce{NaCl}. Students sometimes think "Cl is the standard halide for salts (like table salt)" and put \ceNaCl\ce{NaCl} at the top. But \ceF\ce{F^-} is smaller than \ceCl\ce{Cl^-}, so \ceNaF\ce{NaF} has the highest lattice energy and the most negative ΔHf\Delta H_f. Smallest anion always wins for the alkali halide series.

Answer: (b)\boxed{\text{Answer: (b)}}

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