Consider the gaseous process: () and (). What is the second ionization energy () of element ? — Periodic Table and Periodicity Chemistry Question

Question

Consider the gaseous process: $X_{(g)} \rightarrow X^+_{(g)} + e^-$ ($\Delta H = 100 \text{ eV}$) and $X_{(g)} \rightarrow X^{2+}_{(g)} + 2e^-$ ($\Delta H = 250 \text{ eV}$). What is the second ionization energy ($IE_2$) of element $X$?