Question

# Define ionization energy.  How would the ionization energy change, when an electron in hydrogen atom is replaced by a particle of mass 200 times that of the electron but having the same charge ?

Solution

## Ionization energy is defined as the amount of energy needed to remove the valence electron of an isolated gaseous atom.  The ionization energy of hydrogen atom is                        EH∝me        ...(i) When mass of electron is replaced by a particle having mass =200 me,then                      E′H∝200 me        ...(ii) From (i) and (ii), we have           E′H=200 EH=200×(−13.6)=−2720 eV                                                    (∵EH=−13.6 eV)

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