(4) Electronic energy level of a hydrogen atom is given byR; п %3D 1,2, 3,...n2E = -and R = 13.6 eV. Each energy level has degeneracy 2n2 (degeneracy is the number of equivalentconfigurations associated with the energy level).(a) Derive the partition function for a hydrogen atom at a constant temperature.(b) Consider that the energy level of a hydrogen atom is approximated by a two level system,n = 1,2. Estimate the mean energy at 300 K.

The partition function of hydrogen atom is given by, Z=∑ne-EnkTZ=∑n2n2e-1kT-Rn2Z=∑n2n2eRn2kT

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