The deadline for my question has passed, so I guess I ought to post the solution.
3.75 g of a metal chloride is dissolved in water and treated with excess aqueous silver nitrate, resulting in the formation of 10.66 g of precipitate.
Net ionic equation: Ag+(aq) + Cl-(aq) --> AgCl(s)
We obtained 10.66 g of silver chloride, which is 74.37 mmol. *If* the metal was monovalent, that would mean the molar mass of the metal chloride was
3.75 g / 0.07437 mol = 50.4 g/mol, which would give the metal a molar mass of 15.0 g/mol. This is not the molar mass of a metal.
If it's divalent, then the molar mass of the metal chloride would be 3.75 g / (0.07437 mol/ 2) = 100.8 g/mol. Subtracting the two chlorides gives
29.9 g/mol. This is between silicon and phosphorus, which are not metals.
Trivalent gives 44.9 g/mol, which is within experimental error for scandium (which is indeed trivalent).
Tetravalent gives 59.9 g/mol, which is close to cobalt or nickel, neither of which form tetrachlorides.
Pentavalent gives 74.9 g/mol, which would be arsenic, but arsenic is not a metal, and its pentachloride is not ionic.
Hexavalent would give 89.8 g/mol, which is close to yttrium and zirconium, neither of which have a +6 oxidation state. Similarly, rhodium and
palladium do not form heptachlorides, and tin doesn't form an octachloride. So the metal must be scandium.
[Edited on 1-9-2016 by DraconicAcid] |