Ionization enthalpy of an atom is equal to

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(A) The ionization enthalpy of an atom $(M)$ is the energy required to remove an electron from its gaseous state: $M(g) \rightarrow M^+(g) + e^-$. Con

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Electron gain enthalpy of the cation

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(A) The ionization enthalpy of an atom $(M)$ is the energy required to remove an electron from its gaseous state: $M(g) \rightarrow M^+(g) + e^-$. Conversely,the electron gain enthalpy of the corresponding cation $(M^+)$ is the energy change when an electron is added to the cation: $M^+(g) + e^- \rightarrow M(g)$. According to the law of conservation of energy,the energy required to remove an electron from a neutral atom is equal in magnitude but opposite in sign to the energy released when an electron is added to the resulting cation. Therefore,the ionization enthalpy of an atom is equal to the electron gain enthalpy of its cation (in terms of magnitude).

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