Chemistry · Thermodynamics & Thermochemistry

JEE Advanced 2021 — Paper 2 — Question 40

The amount of energy required to break a bond is same as the amount of energy released when the same bond is formed. In gaseous state, the energy required for homolytic cleavage of a bond is called Bond Dissociation Energy (BDE) or Bond Strength. BDE is affected by s-character of the bond and the stability of the radicals formed. Shorter bonds are typically stronger bonds. BDEs for some bonds are given below:

HX3C−H(g)→HX3CX∙(g)+HX∙(g)ΔH∘=105 kcal   mol−1\ce{H3C-H(g) -> H3C^{\bullet}(g) + H^{\bullet}(g)} \qquad \Delta H^\circ = 105\ \text{kcal\; mol}^{-1} Cl−Cl(g)→ClX∙(g)+ClX∙(g)ΔH∘=58 kcal   mol−1\ce{Cl-Cl(g) -> Cl^{\bullet}(g) + Cl^{\bullet}(g)} \qquad \Delta H^\circ = 58\ \text{kcal\; mol}^{-1} HX3C−Cl(g)→HX3CX∙(g)+ClX∙(g)ΔH∘=85 kcal   mol−1\ce{H3C-Cl(g) -> H3C^{\bullet}(g) + Cl^{\bullet}(g)} \qquad \Delta H^\circ = 85\ \text{kcal\; mol}^{-1} H−Cl(g)→HX∙(g)+ClX∙(g)ΔH∘=103 kcal   mol−1\ce{H-Cl(g) -> H^{\bullet}(g) + Cl^{\bullet}(g)} \qquad \Delta H^\circ = 103\ \text{kcal\; mol}^{-1}

For the following reaction CH4( g)+Cl2( g)→ light CH3Cl(g)+HCl(g)\mathrm{CH}_{4}(\mathrm{~g})+\mathrm{Cl}_{2}(\mathrm{~g}) \xrightarrow{\text { light }} \mathrm{CH}_{3} \mathrm{Cl}(\mathrm{g})+\mathrm{HCl}(\mathrm{g}) The correct statement is

  1. Option A:

    Initiation step is exothermic with ΔH∘=−58kcalmol−1\Delta \mathrm{H}^{\circ}=-58 \mathrm{kcal} \mathrm{mol}^{-1}.

  2. Option B:

    Propagation step involving ∙CH3{ }^{\bullet} \mathrm{CH}_{3} formation is exothermic with ΔH∘=−2kcalmol−1\Delta \mathrm{H}^{\circ}=-2 \mathrm{kcal} \mathrm{mol}^{-1}.

  3. Option C:

    Propagation step involving CH3Cl\mathrm{CH}_{3} \mathrm{Cl} formation is endothermic with ΔH∘=+27kcalmol−1\Delta \mathrm{H}^{\circ}=+27 \mathrm{kcal} \mathrm{mol}^{-1}.

  4. Option D:

    The reaction is exothermic with ΔH∘=−25kcalmol−1\Delta \mathrm{H}^{\circ}=-25 \mathrm{kcal} \mathrm{mol}^{-1}.

    Correct

Answer: D

Step-by-step solution

CH4+Cl2→ light CH3Cl+HCl\mathrm{CH}_{4}+\mathrm{Cl}_{2} \xrightarrow{\text { light }} \mathrm{CH}_{3} \mathrm{Cl}+\mathrm{HCl} this reaction is obtained from given reaction.

\mathrm{CH}_{3}-\mathrm{H} \longrightarrow \mathrm{CH}_{3}^{\ominus}+\mathrm{H}^{\odot} \end{gathered}$$ $$\begin{gathered} \mathrm{Cl}-\mathrm{Cl} \longrightarrow \mathrm{Cl}^{\odot}+\mathrm{Cl}^{\odot} \end{gathered}$$ $$\begin{gathered} \mathrm{CH}_{3}-\mathrm{Cl} \longrightarrow \mathrm{CH}_{3}{ }^{\circ}+\mathrm{Cl}^{\odot} \end{gathered}$$ $$\begin{gathered} \mathrm{H}-\mathrm{Cl} \longrightarrow \mathrm{H}^{\odot}+\mathrm{Cl}^{\odot} \end{gathered}$$ $(1)+(2)-(3)-(4)$ Hence $\Delta \mathrm{H}=105+58-85-103=-25 \mathrm{KCal} /$ mole

Answer key and solution verified before publishing.

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Exam
JEE Advanced 2021
Paper
Paper 2
Subject
Chemistry
Chapter
Thermodynamics & Thermochemistry
Topic
Thermochemistry and Enthalpy Changes
The amount of energy required to break a bond is same as the amount… | JEE Advanced 2021 PYQ with Solution · DhiX AI