Assuming that the only source of perodic group `IIA` metals is an equimolar mixture of `NaC1, BaC1_(2)` and `mGC1_(2)`, suggest ways of preparing pure samples of
a. `MgSO_(4)` b. `Ba` metal c. `Ba (C_(2)H_(3)O_(2))_(2)`.

Explanation

One possible method is given for each part (a) Add `NaOH`, precipiating `Mg(OH)_(2)`. The `Na^(o+)` and `Ba^(2+)` remain in solution. After filtering the `Mg(OH)_(2)`, add `H_(2)SO_(4)` to it, yielding `MgSO_(4)` in solution. Evaporate most of the water, causing `MgSO_(4)` to crystallise.
(b) Add `Na_(2)CO_(3)` to the solution, remaining from part (a), precipitating `BaCO_(3)`. Add `HC1`.
`BaCO_(3) + 2HC1rarr BaC1_(2) +H_(2)O + CO_(2)`
Evaporate, melt the solid `BaC1_(2)`, and electrolyse.
(c) To `BaCO_(3)` obtained in part (b), and `HC_(2)H_(3)O_(2)`, and evaporate.
`2CH_(3)COOH rarr BaCO_(3) rarr (CH_(3)COO)_(2) Ba +H_(2)O +CO_(2)`