The second electron gain enthalpy of oxygen is expected to be positive, i.e., energy must be supplied.
First electron addition: O(g) + e^- -> O^-(g) This process is exothermic (electron gain enthalpy is negative) because a neutral atom attracts the incoming electron.
Second electron addition: O^-(g) + e^- -> O^{2-}(g) Here, an electron is added to an already negatively charged ion.
Therefore, the second electron gain enthalpy: \[ \Delta_{\text{eg}}H_2(\text{O}) > 0 \] i.e., it is positive (endothermic), whereas the first electron gain enthalpy is negative (exothermic).