Identify the incorrect statement from the following:
Correct Answer :
The largest and the smallest species among Mg, Mg2+, Al and Al3+ are Al and Mg2+, respectively.
The largest and the smallest species among Mg, Mg2+, Al and Al3+ are Al and Mg2+, respectively.
Solution :
To decide which statement is incorrect we must compare the sizes (ionic/atomic radii) of the four species: Mg (neutral atom), Mg2+ (cation), Al (neutral atom) and Al3+ (cation).
1. General trend for ionic radii: When an atom loses electrons to form a cation, its radius decreases because the remaining electrons experience a greater effective nuclear charge.
2. Typical radii values (≈ pm):
• Mg (neutral) ≈ 160 pm
• Mg2+ ≈ 72 pm
• Al (neutral) ≈ 143 pm
• Al3+ ≈ 53 pm
These values are well‑established in standard ionic‑radius tables.
3. Identify the largest species: Among the four, Mg (neutral) has the greatest radius (≈ 160 pm). Al (neutral) is smaller (≈ 143 pm). Both cations are much smaller than their parent atoms.
4. Identify the smallest species: Al3+ has the smallest radius (≈ 53 pm), because it has lost three electrons and experiences the strongest effective nuclear charge.
5. Comparison with the statement: The statement claims that the largest species is Al and the smallest is Mg2+. According to the data, the actual largest is Mg, and the actual smallest is Al3+. Therefore the statement is false.
Hence, the option “The largest and the smallest species among Mg, Mg2+, Al and Al3+ are Al and Mg2+, respectively.” is the incorrect statement.
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