1. Consider a molecule with discrete energy states given by E₁ = 0, E₂ = ɛ, E3 = 10ɛ, ... . Demonstrate that at sufficie

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1. Consider a molecule with discrete energy states given by E₁ = 0, E₂ = ɛ, E3 = 10ɛ, ... . Demonstrate that at sufficie

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1. Consider a molecule with discrete energy states given by E₁ = 0, E₂ = ɛ, E3 = 10ɛ, ... . Demonstrate that at sufficiently low temperatures, T < To, only levels E₁, E2 are populated. Find the average energy E as a function of temperature T. (10) Find To. (i) (ii) (5) JE (iii) Find the contributions of these levels to the specific heat per mole, C = NA T where N is the Avogadro's number, and describe its behaviour as a function of temperature. (10)
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