J.R. S. answered 10/25/20
Ph.D. University Professor with 10+ years Tutoring Experience
Ba2+(aq) + 2 OH– (aq) + 2 H+ (aq) + SO4 2–(aq) ==> BaSO4(s) + 2 H2O(l)
Conductivity depends on the number of ions in solution. In this case, that would be Ba2+, OH- H+, and SO42- ions.
At the start of the reaction, you have some Ba2+ and some OH- ions in solution. As you add H2SO4, you add some H+ and some SO42- ions. This will increase conductivity, but as the BaSO4 forms, both Ba2+ and SO42-ions are removed from solution as a precipitate. Also H2O is formed and this is a poor conductor of current. So, the conductivity will decrease.
After moles of H2SO4 exceeds moles of barium hydroxide, then you have only H2SO4 present and since this is a strong acid (for the first ionization), the conductivity will then increase because you have H+ and HSO4- ions present in solution. This is an electrolyte and will conduct a current.