Concept:
Electron gain enthalpy is the enthalpy change when an electron is added to a neutral gaseous atom.
Since the values are generally negative, magnitude only means we compare how strongly atoms attract an extra electron, ignoring the sign.
Key factors affecting electron gain enthalpy:
Atomic size
Effective nuclear charge
Electron--electron repulsion in small orbitals
Step 1: Trend in group 16 elements.
Group 16 elements are:
\[
\mathrm{O,\ S,\ Se,\ Te}
\]
On moving down the group:
Atomic size increases
Electron gain enthalpy generally becomes less negative
However, oxygen is an exception due to its very small size.
Step 2: Comparing oxygen with sulfur.
Oxygen has a very small \(2p\) orbital.
When an extra electron enters, there is strong electron--electron repulsion, which reduces its tendency to gain an electron.
Sulfur has a larger \(3p\) orbital, so it can accommodate an extra electron more easily.
Hence:
\[
\mathrm{S>O}
\]
Step 3: Comparing sulfur, selenium, and tellurium.
As we move down from sulfur to selenium to tellurium:
Atomic size increases
Attraction for incoming electron decreases
Therefore:
\[
\mathrm{S>Se>Te}
\]
Step 4: Final order (magnitude only).
Combining all comparisons:
\[
\mathrm{S>Se>Te>O}
\]
\[
\boxed{\mathrm{S>Se>Te>O}}
\]