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MHT CET 202625 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

MHT CET 2026 · 25 April · Morning Shift · Chemistry · Thermodynamics (C)

A certain organic solvent has Δ H\_vap = 28.50\ kJ mol^ -1 and Δ...

A certain organic solvent has ΔH_vap=28.50 kJ mol−1\Delta H\_vap = 28.50\ \text{kJ mol}^{-1} and ΔS_vap=88.2 J K−1 mol−1\Delta S\_vap = 88.2\ \text{J K}^{-1}\ \text{mol}^{-1} at 1 bar. Calculate its normal boiling point (where ΔG=0\Delta G = 0).

Options

  1. A298.5 K298.5\ \text{K}
  2. B323.1 K323.1\ \text{K}
  3. C355.0 K355.0\ \text{K}
  4. D372.8 K372.8\ \text{K}

Correct answer

B. 323.1 K323.1\ \text{K}

Step-by-step solution

At the normal boiling point, the liquid and vapour phases are in equilibrium, which gives ΔG=0\Delta G = 0.

Using the Gibbs free energy equation:

ΔG=ΔHvap−TbΔSvap=0\Delta G = \Delta H_{vap} - T_{b} \Delta S_{vap} = 0

Tb=ΔHvapΔSvapT_{b} = \dfrac{\Delta H_{vap}}{\Delta S_{vap}}

Substituting the given values:

Tb=28.50×100088.2T_{b} = \dfrac{28.50 \times 1000}{88.2}

Tb=2850088.2=323.1 KT_{b} = \dfrac{28500}{88.2} = 323.1\ \text{K}

Answer: 323.1 K323.1\ \text{K}
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