To solve the problem of matching the given elements with their correct electron gain enthalpy values, let's analyze the data from the question:
The table provides the electron gain enthalpies (\(\Delta_{eg}H\)) for various elements. The correct matching is determined by the electron gain enthalpy value associated with each element.
- Element O (Oxygen): Oxygen has a mid-range electron gain enthalpy compared to elements like F and Cl. The most appropriate value here is -141 kJ/mol. Therefore, Oxygen corresponds to III.
- Element F (Fluorine): Fluorine has the highest electron gain enthalpy of this set, making it very reactive in terms of gaining an electron. The value of -328 kJ/mol is closest to expectations for Fluorine. Hence, Fluorine corresponds to IV.
- Element Cl (Chlorine): Chlorine often shows very high electron gain enthalpy as well but typically less than Fluorine. Here, the value is -349 kJ/mol, which is a perfect fit. So, Chlorine corresponds to II.
- Element S (Sulfur): Sulfur has a lower electron gain enthalpy characteristic compared to the others listed here. The correct value is -200 kJ/mol. Therefore, Sulfur corresponds to I.
According to the pairings described:
- A-III (Oxygen: -141 kJ/mol)
- B-IV (Fluorine: -328 kJ/mol)
- C-II (Chlorine: -349 kJ/mol)
- D-I (Sulfur: -200 kJ/mol)
Therefore, the correct answer is A-III, B-IV, C-II, D-I.