The nuclei of the 02 molecule are separated by a dis- tance 1.20 x m. the mass of each oxygen atom in the molecule is 2.66 > < 10-26 kg.

(a) determine the rotational energies of an oxygen molecule in electron volts for the levels corresponding to j = 0, 1, and 2.
(b) the effective force constant k between the atoms in the oxygen molecule is 1 177 n/ m. determine the vibrational energies (in electron volts) corresponding to v = 0, 1, and 2.

Answer

given,

distance between the nuclei of an O₂ molecule = 1.20 x 10⁻¹⁰ m

mass of oxygen atom = 2.66 x 10⁻²⁶ Kg

the reduced mass of O₂ molecule =

moment of inertia of O₂ molecule

            I = 1.9152 x 10⁻⁴⁶ kg.m²

a) Rotational energy  of oxygen molecule

       J = 0

       J = 1

            E₁ = 3.63 x 10⁻⁴ eV

    J = 2

            E₂ = 1.089 x 10⁻³ eV

b) Effective force constant between the molecule

for v = 0

         E = 1.569 x 10⁻²¹ J

         E₀ = 9.8 x 10⁻³ eV

for v = 1

       E₁ = 3 E₀

       E₁ = 3 x 9.8 x 10⁻³

       E₁ = 29.4 x 10⁻³ eV

For v = 2

       E₂ = 5 E₀

       E₂ = 5 x 9.8 x 10⁻³

       E₂ = 49 x 10⁻³ eV

i think it’s a. this is because if they measured the mass of something with a mass of 150g, then their final answer would have to be approximately 150g. though all of their answers are almost 150, rosa and tran have the closest answers (or the exact answer) to the accurate one.

the most reliable source of information.is wikipedia