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MHT CET 202623 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

MHT CET 2026 · 23 April · Morning Shift · Chemistry · Thermodynamics (C)

Calculate the enthalpy of formation of HCl if bond enthalpies of H...

Calculate the enthalpy of formation of HCl if bond enthalpies of H−H\text{H} - \text{H}, Cl−Cl\text{Cl} - \text{Cl} and H−Cl\text{H} - \text{Cl} bonds are 434434 kJ mol^{-1},242, 242 kJ mol^{-1}and431and 431 kJ mol^{-1},respectively., respectively.

Options

  1. A245245 kJ mol^{-1}
  2. B−93-93 kJ mol^{-1}
  3. C−245-245 kJ mol^{-1}
  4. D9393 kJ mol^{-1}

Correct answer

B. −93-93 kJ mol^{-1}

Step-by-step solution

The chemical equation for the formation of HCl\text{HCl} is:

12H2(g)+12Cl2(g)→HCl(g)\dfrac{1}{2}\text{H}_2(\text{g}) + \dfrac{1}{2}\text{Cl}_2(\text{g}) \rightarrow \text{HCl}(\text{g})

The enthalpy of formation is given by:

ΔfH=∑Bond enthalpies of reactants−∑Bond enthalpies of products\Delta_f H = \sum \text{Bond enthalpies of reactants} - \sum \text{Bond enthalpies of products}

ΔfH=[12ΔHH-H+12ΔHCl-Cl]−ΔHH-Cl\Delta_f H = \left[ \dfrac{1}{2} \Delta H_{\text{H-H}} + \dfrac{1}{2} \Delta H_{\text{Cl-Cl}} \right] - \Delta H_{\text{H-Cl}}

Substituting the given values:

ΔfH=[12(434)+12(242)]−431\Delta_f H = \left[ \dfrac{1}{2}(434) + \dfrac{1}{2}(242) \right] - 431

ΔfH=(217+121)−431\Delta_f H = (217 + 121) - 431

ΔfH=338−431=−93 kJ mol−1\Delta_f H = 338 - 431 = -93 \text{ kJ mol}^{-1}

Answer: −93-93 kJ mol^{-1}
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