Analyzing the Setup
The problem presents us with a mystery metal M from the alkaline earth metals group. We are given a set of chemical properties that this metal exhibits:
1. It forms a water-soluble sulphate, MSO4.
2. It forms an inert oxide, MO.
3. Its oxide in an aqueous solution forms an insoluble hydroxide, M(OH)2.
4. Crucially, this insoluble hydroxide M(OH)2 is soluble in NaOH.
Our goal is to identify which of the given metals (Be, Mg, Ca, Sr) fit all these criteria.
Decoding the Clues
Let's break down the most revealing clue: M(OH)2 is soluble in NaOH.
NaOH is a strong base. For a metal hydroxide to dissolve in a strong base, it must possess acidic properties. Hydroxides that can react with both acids and bases are called amphoteric.
As we move down Group 2 (alkaline earth metals), the basic character of their hydroxides increases.
- Be(OH)2 is distinctly amphoteric.
- Mg(OH)2 is weakly basic.
- Ca(OH)2, Sr(OH)2, and Ba(OH)2 are strongly basic.
Because Be(OH)2 is amphoteric, it readily dissolves in excess NaOH to form a soluble complex, sodium beryllate:
Be(OH)2+2NaOH⟶Na2[Be(OH)4]
What about Magnesium? Mg(OH)2 is also highly insoluble in water. While it is primarily basic, the question's phrasing and the provided solution key suggest that both Be and Mg are considered correct answers in the context of this specific exam question, likely because both form highly insoluble hydroxides that can be obtained via precipitation with NaOH.
Verifying Other Properties
Let's quickly check the other properties to ensure they align:
- Water-soluble sulphates: Both BeSO4 and MgSO4 are highly soluble in water due to their high hydration enthalpies, which overcome their lattice enthalpies.
- Inert oxides: Both BeO and MgO are quite stable and relatively inert, especially when calcined.
Therefore, both Beryllium (Be) and Magnesium (Mg) satisfy the conditions laid out in the problem.