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Question

Energy of an electron in the ground state of the hydrogen atom is -2.18×1018 J. The ionization enthalpy of atomic hydrogen is a×105 J/mol. Then a is: (Take NA=6×1023)

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Solution

The ionization enthalpy is the amount of energy required to remove an electron from ground state to infinity. The energy of electron in the ground state is 2.18×1018J
The energy of electron at infinity is zero.
The energy required to remove electron is 0(21.8×1018J)=21.8×1018J
To remove 1 mole of electrons the amount of energy required is 2.18×1018×6×1023=13.08×105J. This is the ionization enthalpy of hydrogen.

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