According to the equipartition principle of energy, the molar heat capacity at constant volume for CO₂(g)… · ABC26PH0717

Subject: Physical Chemistry · Chapter: Gaseous State · Topic: Gaseous State – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

According to the equipartition principle of energy, the molar heat capacity at constant volume for $\mathrm{CO}_{2}(\mathrm{g}), \mathrm{SO}_{2}(\mathrm{g})$ and $\mathrm{H}_{2} \mathrm{O}(\mathrm{g})$ follows the trend:

(a)$\mathrm{CO_2 = SO_2 = H_2O}$

(b)$\mathrm{CO_2 > SO_2 = H_2O}$

(c)$\mathrm{H_2O > SO_2 = CO_2}$

(d)$\mathrm{CO}_{2}=\mathrm{SO}_{2}>\mathrm{H}_{2} \mathrm{O}$

Answer

Answer: B ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation

CO₂ (linear, 4 vibrations): 3/2 + 1 + 4 = 6.5R. SO₂ and H₂O (bent, 3 vibrations): 3/2 + 3/2 + 3 = 6R each. So CO₂ > SO₂ = H₂O.

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