The characteristic rotational energy, h²/8π²I, for O₂ is 2.9 × 10^-²³ J. Calculate the O₂ bond length. A)3.6 × 10^-10 m B)0.60 × 10^-1¹ m C)1.2 × 10^-10 m D)0.30 × 10^-1¹ m E)2.4 × 10^-10 m

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The moment of inertia I for a diatomic molecule like O2 is given by I = μr², where μ is the reduced mass and r is the bond length. Using the given rotational energy formula and solving for r, the bond length is found to be approximately 1.2 × 10⁻¹⁰ m.

The Characteristic Rotational Energy, H2/8π2I, for O2 Is 2

The Characteristic Rotational Energy, H²/8π²I, for O₂ Is 2