(a) When barium chloride solution is added to sodium sulphate solution, then a white precipitate of barium sulphate is formed along with sodium chloride solution :
BaCl2 (aq)+Na2SO4(aq) ⟶(Barium chloride)(Sodium sulphate)BaSO4(s)↓ +2NaCl(aq)(Barium(SodiumsulphateChloride)(white ppt.)
Reaction will not take place if the reactants are in a solid state. This is a double displacement reaction.
(b) When iron nails are dipped in copper sulphate solution, then iron sulphate solution and copper metal are formed :
CuSO4 (aq) + Fe(s) ⟶ FeSO4(aq) +Cu(s)CopperIronIronCopperSulphate Sulphate (Blue(Grey)(Greenish(Reddishsolution)solution)brown)
This displacement reaction occurs because iron is more reactive than copper. Also a reddish brown substance will be deposited on the iron nail. This substance is nothing but copper metal.