The reaction in question is a sort of salt metathesis, where the chloride and sulfate, essentially, exchange.
The solubility product is the equilibrium constant for the reaction;
BaSO4 (s) <--> Ba2+(aq) + SO42-(aq)
Firstly, you need to look at the stoichiometry of the reaction to determine the moles of BaSO4. Then you must look at the volume of water, and compare the molarity of barium sulfate and the volume, to see if the volume is sufficient for the product to be solvated completely.