To solve this question, we need to understand the concept of electron gain enthalpy, also known as electron affinity.
Electron gain enthalpy is the enthalpy change when an electron is added to an isolated gaseous atom to form a gaseous anion. It can be either negative or positive:
For oxygen, the first electron gain enthalpy (\Delta_{eg}H) is -141\, \text{kJ/mol}, which means energy is released when the first electron is added to an oxygen atom, forming \text{O}^-\).
However, when adding a second electron, the second electron gain enthalpy becomes positive. This is because the added electron must overcome the electron-electron repulsion of the already negatively charged ion \text{O}^-\)..
Thus, energy must be supplied to add the second electron, making the second electron gain enthalpy a positive value.
The correct option is:
Now, let's rule out the other options:
In general, the properties that decrease and increase down a group in the periodic table respectively are: