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JEE Main 20265 AprilEvening Shift
Exam
JEE Main
Year
2026
Date
5 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2026 · 5 April · Evening Shift · Chemistry · Thermodynamics (C)

The correct order of molar heat capacities measured at 298 K and 1...

The correct order of molar heat capacities measured at 298 K298\text{ K} and 1 bar1\text{ bar} is :

Options

  1. ACopper(s) > Bromine(l) > Helium(g)
  2. BBromine(l) > Copper(s) > Helium(g)
  3. CHelium(g) > Bromine(l) > Copper(s)
  4. DHelium(g) > Bromine(l) = Copper(s)

Correct answer

B. Bromine(l) > Copper(s) > Helium(g)

Step-by-step solution

The molar heat capacity of Helium (a monatomic gas) at constant pressure is Cp=52R≈20.8 J K−1 mol−1C_p = \dfrac{5}{2}R \approx 20.8 \text{ J K}^{-1} \text{ mol}^{-1}.

The molar heat capacity of Copper (a solid) follows the Dulong-Petit law, which gives Cp≈3R≈24.9 J K−1 mol−1C_p \approx 3R \approx 24.9 \text{ J K}^{-1} \text{ mol}^{-1}.

The molar heat capacity of Bromine (a diatomic liquid) is significantly higher due to translational, rotational, and vibrational degrees of freedom along with intermolecular interactions in the liquid state, having Cp≈75.7 J K−1 mol−1C_p \approx 75.7 \text{ J K}^{-1} \text{ mol}^{-1}.

Therefore, the correct order of molar heat capacities is Bromine(l) > Copper(s) > Helium(g).

Answer: Bromine(l) > Copper(s) > Helium(g)
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