Blundell Thermal Physics · Problem 4.8

Temperature and the Boltzmann factor

Physics — Statistical Mechanics · boltzmann-factor-room-temperature-applications

Problem

Estimate kBTk_\mathrm{B}T at room temperature, and convert this energy into electronvolts (eV). Using this result, answer the following: (a) Would you expect hydrogen atoms to be ionized at room temperature? (The binding energy of an electron in a hydrogen atom is 13.6 eV.) (b) Would you expect the rotational energy levels of diatomic molecules to be excited at room temperature? (It costs about 10−410^{-4} eV to promote such a system to an excited rotational energy level.)

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