Question

EXPERIMENT #9: SPECTRUM OF THE HYDROGEN ATOM ADDITIONAL QUESTIONS 1, What does the energy of the electron from the hydrogen atom become when n is a very large number, or approaching infinity? We say an electron with this energy has separated from the nucleus, which is now an ion. Determine the quantity of energy (AE) required to ionize an electron from its ground state in the hydrogen atom. 2. The Bohr model holds for any one-electron atom. Calculate the lowest energy level of the helium ion, He'. (Hint: Examine the parts of the Bohr equation carefully) 3. A fun exercise with units... Given the following information, show that the units for energy derived from the Bohr model can indeed work out to be the Joule unit. 1 J-1 kg-m/s The charge of an electron is measured in units of Coulombs, C The permittivity, Eo, is in units of CJ-m 85

Answer 1

And when an electron is at infinity, there is no force of attraction from the nucleus. The energy of the election will be zero at infinity. An election have the maximum energy (ie zero at Energy the required to ionize an election ground state of hydrogen is E = -13.6 z 2 from given This for ground state , n = 1 for hydrogen atom 7 = 1 į known as lonization energy, I E = Exo - E - o - (- 13.6 (1) 2 evlatom (12) Arab 136evan Energy of He in the lowest energy level - 13:6 ( 2 ) 2 ev atom - - 1316 X Y evlaton - 54.4 evlaton