Reaction involved in the process is :

Molarity of Na2 SO4 is 0.25. Thus, 1000 mL solution contains 0.25 mole Na2SO4 . Number of moles of Na2SO4 in 500 mL will be 0.125

1 mole Na2SO4 reacts with 1 mole BaCI
0.125 moles Na2SO4 will react with 0.125 moles BaSO4
Required moles of BaCl2 > available moles of BaCl2
Thus BaCl2 is limiting reactant. 1 mole BaCl2 will give 1 mole Na2SO4
⇒0.0721 moles of BaCI2 will give 0.0721 moles of BaSO4
