Periodic Table and PeriodicityhardMCQ SINGLE

Consider the relationship between Ionization Enthalpy () and Electron Affinity (). If the first ioniPeriodic Table and Periodicity Chemistry Question

Question

Consider the relationship between Ionization Enthalpy ($IE$) and Electron Affinity ($EA$). If the first ionization enthalpy ($IE_1$) of a neutral Sodium ($Na$) atom is $5.1 \text{ eV}$, what is the exact value of the electron gain enthalpy ($\Delta_{eg}H$) of the isolated $Na^+$ ion?

Answer: B

💡 Solution & Explanation

The ionization of $Na$ is given by $Na \rightarrow Na^+ + e^- \ (\Delta H = +5.1 \text{ eV})$. The electron gain of $Na^+$ is the exact reverse process: $Na^+ + e^- \rightarrow Na$. Therefore, by Hess's Law, the enthalpy change for the reverse process is equal in magnitude but opposite in sign, yielding $-5.1 \text{ eV}$.

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