Q22 / 120 · VITEEE 2015 · Chemistry

Consider the following changes $\begin{array}{l} M(s) \longrightarrow M(g) \quad \ldots(1) \\ M(g) \longrightarrow M^{2+}(g)+2 e^{-} \quad \ldots(2) \\ M(g) \longrightarrow M^{+}(g)+e^{-} \quad \ldots(3) \\ M^{+}(g) \longrightarrow M^{2+}(g)+e^{-} \ldots(4) \\ M(g) \longrightarrow M^{2+}(g)+2 e^{-} \ldots(5) \end{array}$ The second ionisation energy of $M$ could be determined from the energy values associated with

  • A
    $1+2+4$
  • B
    $1+5-3$
  • C
    $2+3-4$
  • Correct answer
    D
    $5-3$

Solution

The amount of energy required to take out an electron from the monopositive cation is called second ionisation energy $\begin{array}{l} \mathrm{M}(\mathrm{g}) \longrightarrow \mathrm{M}^{2+}(\mathrm{g})+2 \mathrm{e}^{-} ...(v) \\ \mathrm{M}(\mathrm{g}) \longrightarrow \mathrm{M}^{+}(\mathrm{g})+\mathrm{e}^{-} ...(iii) \end{array}$ On subtracting eq(iii) form eq. (v) we get, $\mathrm{M} \longrightarrow \mathrm{M}^{2+}+\mathrm{e}^{-}$

Hence, the correct answer is option: 'D'.

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