Chemistry · Thermodynamics & Thermochemistry

JEE Main 2025 — 8 April, Evening Shift — Question 21

Resonance in X2YX_{2} Y can be represented as

figure

The enthalpy of formation of X2YX_{2} Y (X≡X(g)+12Y=Y(g)→X2Y(g))\left(X \equiv X(g)+\frac{1}{2} Y=Y(g) \rightarrow X_{2} Y(g)\right) is 80 kJ mol−180 \mathrm{~kJ} \mathrm{~mol}^{-1}.

The magnitude of resonance energy of X2YX_{2} Y is …kJmol−1\ldots \mathrm{kJ} \mathrm{mol}^{-1} (nearest integer value) Given : Bond energies of

X≡X,X=X,Y=YX \equiv X, X=X, Y=Y and X=YX=Y are 940, 410, 500 and 602 kJ mol−1602 \mathrm{~kJ} \mathrm{~mol}^{-1} respectively.

Valence X:3,Y:2\mathrm{X}: 3, \mathrm{Y}: 2

Answer: 98

Numerical answer — enter this value.

Step-by-step solution

X≡X(g)+12Y=Y(g)→X(−)=X(+)=Y(g)\mathrm{X} \equiv \mathrm{X}(\mathrm{g})+\frac{1}{2} \mathrm{Y}=\mathrm{Y}(\mathrm{g}) \rightarrow \stackrel{(-)}{\mathrm{X}}=\stackrel{(+)}{\mathrm{X}}=\mathrm{Y}(\mathrm{g})

[ΔHf(X2Y)]Actual =80 kJ mol−1\left[\Delta \mathrm{H}_{\mathrm{f}}\left(\mathrm{X}_{2} \mathrm{Y}\right)\right]_{\text {Actual }}=80 \mathrm{~kJ} \mathrm{~mol}^{-1} [ΔHf(X2Y)]Theoretical =940+12(500)−(410+602)\left[\Delta \mathrm{H}_{\mathrm{f}}\left(\mathrm{X}_{2} \mathrm{Y}\right)\right]_{\text {Theoretical }}=940+\frac{1}{2}(500)-(410+602) =1190−1012=1190-1012 =178 kJ mol−1=178 \mathrm{~kJ} \mathrm{~mol}^{-1}

Resonance energy =∣(ΔHf)Actual −(ΔHf)Theoretical ∣=\left|\left(\Delta \mathrm{H}_{\mathrm{f}}\right)_{\text {Actual }}-\left(\Delta \mathrm{H}_{\mathrm{f}}\right)_{\text {Theoretical }}\right|

=∣80−178∣=98 kJ mol−1=|80-178|=98 \mathrm{~kJ} \mathrm{~mol}^{-1}

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Chemistry
Chapter
Thermodynamics & Thermochemistry
Topic
Thermochemistry and Enthalpy Changes
Resonance in X 2 Y can be represented as The enthalpy of formation of… | JEE Main 2025 PYQ with Solution · DhiX AI