Out of the following representation IE and EA are correct for an element M. Where, IE = Ionisation energy EA = Electron affinity (i) IE 1 of M ( g ) = EA 1 of M ( g ) (ii) IE 1 of M + ( g ) =∣ E

Question

Out of the following representation IE and EA are correct for an element M. Where, IE = Ionisation energy EA = Electron affinity

(i) $IE_{1}$ of $M (g) = EA_{1}$ of $M (g)$

(ii) $IE_{1}$ of $M^{+} (g) =∣ EA_{1}$ of $M^{+} (g) ∣$

(iii) $IE_{1}$ of $M^{+} (g) =∣ EA_{1}$ of $M^{2 +} (g) ∣$

(iv) $IE_{1}$ of $M^{3 +} (g) =∣ EA_{1}$ of $M^{4 +} (g) ∣$

(v) Energy used to convert $M \to M^{3 +} + 3 e^{-}$ is $(IE_{1} + IE_{2} + IE_{3})$ of M

(vi) Total enthalpy used in process $M^{-} \to M^{2 +} + 3 e^{-}$ is $(IE_{1} + IE_{2})$ of M

TestHub · Accepted Answer

The correct representations are (III), (IV), and (V), making the total count 3.

Statements (III) and (IV) are correct because the energy required to remove an electron from a cation ( $I E$ ) is exactly equal in magnitude to the energy released when that same electron is added back to the higher-charged cation ( $E A$ ).

Statement (V) is correct because the total energy for successive ionization $M (g) \to M^{3 +} (g) + 3 e^{-}$ is the sum of individual ionization energies: $T o t a lE n er g y = I E_{1} + I E_{2} + I E_{3}$ .

Statements (I), (II), and (VI) are incorrect because they equate processes with different initial/final states or omit necessary energy terms (like $E A_{1}$ of $M$ in statement VI).

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Doubts & Discussion

JEE Advanced 2028 (Class 11)