the infrared spectrum of HCl gas shows an absorption band centered at 2885 cm⁻¹. The zero point energy of HCl… · ABC26PH0506

Subject: Physical Chemistry · Chapter: Physical Spectroscopy · Topic: Physical Spectroscopy – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

the infrared spectrum of HCl gas shows an absorption band centered at $2885 \mathrm{cm}^{-1}$. The zero point energy of HCl molecule under hamonic oscillator approximation is:
(a)$2.866 \times 10^{-22} \mathrm{J}$
(b)$2.8665 \times 10^{-20} \mathrm{J}$
(c)$5.7330 \times 10^{-22} \mathrm{J}$
(d)$5.7330 \times 10^{-20} \mathrm{J}$
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
ZPE = ½hcν̃ = 0.5 × 6.626×10⁻³⁴ × 3×10¹⁰ × 2885 ≈ 2.87×10⁻²⁰ J (b).

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