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In his first work ''On the Structure of Atoms and Molecules'' (1913) Niels Bohr, as a proof of the validity of his theory, cited the fact that the number of spectral lines of the Balmer series observed in a gas-discharge tube never exceeds 12, while 33 lines are seen in the spectra of celestial bodies. Bohr's explanation was that the diameter of the hydrogen atom cannot exceed the average interatomic distance, which depends on the pressure. From these considerations, estimate the concentration of atoms, the pressure and the density of hydrogen in a gas discharge tube and in a celestial body. |
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Answer» `n_(0)le1/d^(3),orn_(0)le1/(8n^(6)a_(0)^(3))` Since the Balmer SERIES is excited as the result of the transition of an electron to the second level, the maximum number of the level is TWO units more than the maximum number of observed lines. Hence in a gas-discharge TUBE n = 14, in a celestial body n = 35. |
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