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JEE Main 202523 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
23 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2025 · 23 January · Evening Shift · Chemistry · Thermodynamics (C)

The bond dissociation enthalpy of X_2 Δ H_ bond calculated from the...

The bond dissociation enthalpy of X2ΔHbond \mathrm{X}_2 \Delta \mathrm{H}_{\text{bond }} calculated from the given data is kJmol−1\qquad\mathrm{kJ} \mathrm{mol}^{-1}. (Nearest integer) M+X−(s)→M+(g)+X−(g)ΔHlattice ∗=800 kJ mol−1M( s)→M( g)ΔHsub ∘=100 kJ mol−1\begin{aligned} & \mathrm{M}^{+} \mathrm{X}^{-}(\mathrm{s}) \rightarrow \mathrm{M}^{+}(\mathrm{g})+\mathrm{X}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\text{lattice }}^*=800 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \mathrm{M}(\mathrm{~s}) \rightarrow \mathrm{M}(\mathrm{~g}) \Delta \mathrm{H}_{\text{sub }}^{\circ}=100 \mathrm{~kJ} \mathrm{~mol}^{-1} \end{aligned}\mathrm{M}(\mathrm{~g}) \rightarrow \mathrm{M}^{+}(\mathrm{g})+\mathrm{e}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\mathrm{i}}=500 \mathrm{~kJ} \mathrm{~mol}^{-1} \mathrm{X}(\mathrm{~g})+\mathrm{e}^{-}(\mathrm{g}) \rightarrow \mathrm{X}^{-}(\mathrm{g}) \Delta \mathrm{H}_{\mathrm{eg}}^*=-300 \mathrm{~kJ} \mathrm{~mol}^{-1} \mathrm{M}(\mathrm{~s})+\frac{1}{2} \mathrm{X}_2(\mathrm{~g}) \rightarrow \mathrm{M}^{+} \mathrm{X}^{-}(\mathrm{s}) \Delta \mathrm{H}_f^{\circ}=-400 \mathrm{~kJ} \mathrm{~mol}^{-1}[Given:[Given :\mathrm{M}^{+} \mathrm{X}^{-}isapureioniccompoundandXformsadiatomicmoleculeis a pure ionic compound and X forms a diatomic molecule\mathrm{X}_2$ in gaseous state]

Correct answer

0

Step-by-step solution

∴ΔHf(MX)=ΔHsub (M)+ I.E. (M)+12[ B.E. (X−X)]+EG(X)+ L.E. (MX)−400=(100)+(500)+12( B.E. )+(−300)+(−800)\begin{aligned} & \begin{array}{l}\therefore \Delta \mathrm{H}_{\mathrm{f}}(\mathrm{MX})= \\ \quad \Delta \mathrm{H}_{\text{sub }}(\mathrm{M})+\text{ I.E. }(\mathrm{M})+\frac{1}{2}[\text{ B.E. }(\mathrm{X}-\mathrm{X})] \\ \\ +\mathrm{EG}(\mathrm{X})+\text{ L.E. }(\mathrm{MX})\end{array} \\ & -400=(100)+(500)+\frac{1}{2}(\text{ B.E. })+(-300)+(-800)\end{aligned}\quad ∴ B.E. =200kJmole−1\begin{aligned} & \therefore \text{ B.E. }=200 \mathrm{ kJ} \mathrm{ mole}^{-1}\end{aligned}$
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