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Question 15

Energy of an electron in the ground state of the hydrogen atom is –2.18 × 10–18 J. Calculate the ionization enthalpy of atomic hydrogen in terms of J mol–1.

Answer

Ionization enthalpy is the minimum amount of energy which is needed to remove the loosely bound electron from a  isolated gaseous atom to form a cation.

It is given that the energy of an electron in the ground state of the hydrogen atom is –2.18 × 10–18 J.



Therefore, the energy required to remove that electron from the ground state of hydrogen atom is 2.18 × 10–18 J.

so Ionization enthalpy of atomic hydrogen = 2.18 × 10–18 J

Hence, ionization enthalpy of atomic hydrogen in terms of J mol–1 = 2.18 × 10–18 × 6.02 × 1023 J mol–1 = 1.31 × 106 J mol–1

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