Homework Help

Q. An electron in a hydrogen isotopic atom in its ground state absorbs two times as...

user profile pic

user8235304 | Student, Grade 11 | (Level 1) Valedictorian

Posted July 18, 2013 at 3:17 AM via web

dislike 2 like

Q. An electron in a hydrogen isotopic atom in its ground state absorbs two times as much energy as the minimum required for it to escape from the atom.If the ionisation potential in the ground state of H-atom is 13.8 eV,kinetic energy of electron will be:-

A) 13.8 eV

B) 6.9 eV

C) 27.6 eV

D) 13.6 eV

1 Answer | Add Yours

user profile pic

llltkl | College Teacher | (Level 3) Valedictorian

Posted July 18, 2013 at 5:09 AM (Answer #1)

dislike 1 like

For a hydrogen isotopic atom `Z=1`, hence ionisation energy (also known as ionisation potential) for this isotope will be equal to that of hydrogen.

The total energy absorbed by the electron will be divided into two components. One component will be used for the release of electron which is equivalent to its I.E. The remaining portion will be converted into its kinetic energy.

Here, total energy absorbed =`2*I.E.`

Hence, kinetic energy of the released electron = `2I.E.- I.E.`

                                                                       = `I.E.`

                                                                        = `13.8 eV.`

Therefore, option A) is the correct answer.

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes