A gas is made up of diatomic molecules. At temperature T1, the ratio of the number of molecules in vibrational energy state 2 to the number of molecules in the ground state is measured, and found to...

A gas is made up of diatomic molecules. At temperature T1, the ratio of the number of molecules in vibrational energy state

2 to the number of molecules in the ground state is measured, and found to be 0.35. The difference in energy between state

2 and the ground state is ΔE. Which of the following conclusions is correct?

(A) ΔE ≈ kBT1

(B) ΔE

(C) ΔE >> kBT1

At a different temperature T2, the ratio is found to be 8 × 10−5. Which of the following is true?

(D) ΔE ≈ kBT2

(E) ΔE

(F) ΔE >> kBT2