Calculate the energy required to ionize a ground state hydrogen atom. Report you

Question

Calculate the energy required to ionize a ground state hydrogen atom. Report your answer in kilojoules. kJ Part 2 (0.5 point) Feedback See Hi What is the longest wavelength of electromagnetic radiation capable of ionizing a ground state hydrogen atom? Report your answer in nanometers. = 91.26 nm Part 3 (0.5 point) Feedback See Hi Calculate the energy required to ionize a hydrogen atom to an excited state where the electron is initially in the n= 5 energy level. Report your answer in kilojoules. kJ

Explanation / Answer

The energy of an electron in nth Bohr orbit of Hydrogen is given as

En= -2.18x10-18/n2 J/atom

= -2.18x 10-21 /n2 kJ/atom

part 1

The energy required to ionize a hydrogen atom in ground state is equal to the energy of first orbit .

The ionisation energy of H from ground state = -E1

= - [-2.18x10-21 /12] kJ/atom

= 2.18x10-21 kJ/atom

part 2 ) your answer is correct

part 3) initially the electron is in n =5 level.

To ionise this electron we have to supply the same amount of energy as its energy

Thus energy required to ionize the electron from n=5 is

= -E5

=  -[-2.18x10-21 /52] kJ/atom

= 8.72x10-23 kJ /atom

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