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Q3.14:
What is the significance of the terms — ‘isolated gaseous atom’ and ‘ground state’ while defining the ionization enthalpy and electron gain enthalpy?

Solution :

1. Theoretical Foundations of Ionization Enthalpy and Electron Gain Enthalpy

To define ionization enthalpy ($\Delta_i H$) and electron gain enthalpy ($\Delta_{eg} H$) accurately, the state of the atom must be strictly controlled to eliminate external energetic contributions. The standard definitions are as follows:

  • Ionization Enthalpy ($\Delta_i H$): The energy required to remove an electron from an isolated gaseous atom in its ground state.
  • Electron Gain Enthalpy ($\Delta_{eg} H$): The energy change when an electron is added to an isolated gaseous atom in its ground state.

2. Significance of 'Isolated Gaseous Atom'

The term 'isolated gaseous atom' is essential to ensure that the measured enthalpy reflects the intrinsic properties of the atom rather than interactions with neighboring particles.

  • Elimination of Intermolecular Forces: In solid or liquid states, atoms/molecules are subject to cohesive forces (e.g., metallic bonding, van der Waals forces, or hydrogen bonding). If these phases were used, the measured energy would include the energy required to overcome these intermolecular forces [Per the Law of Conservation of Energy].
  • Consistency: By using the gaseous phase, atoms are separated by large distances, rendering interatomic interactions negligible. This ensures that the energy calculated is solely due to the electrostatic attraction between the nucleus and the valence electrons.

3. Significance of 'Ground State'

The 'ground state' refers to the state of an atom where all electrons occupy the lowest possible energy levels (orbitals) available to them.

  • Reference Standard: If an atom were in an 'excited state,' the valence electron would already be at a higher energy level. Removing an electron from an excited state would require significantly less energy than removing it from the ground state [By the Aufbau Principle].
  • Standardization: To provide a universal, reproducible standard for periodic properties, all atoms must be in the ground state. This allows for valid comparisons across the periodic table, ensuring that trends (like those observed across a period or down a group) are attributable to nuclear charge and shielding effects rather than arbitrary electronic configurations.

4. Comparative Analysis Table

Term Justification for Requirement
Isolated Gaseous Atom Removes influence of external atoms and intermolecular bonding energy.
Ground State Ensures the atom is in its minimum energy configuration for standardized measurement.
Atom A (Ground State) $\Delta_i H$ (Energy In) $e^-$ (Removed)

Final Solution: The terms 'isolated gaseous atom' and 'ground state' are strictly necessary to standardize measurements by eliminating external intermolecular interactions and ensuring that electronic configurations are at their minimum energy, thereby allowing for accurate and consistent periodic trends comparisons.


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