Answer to Question #57390 in Physical Chemistry for Ted

Question

Ingrid and Wahid are doing a chemical experiment.They take 2.4 grams of barium carbonate and add this to 25.0mL of water and notice that it does not dissolve completely.
i) What percentage of the barium carbonate will dissolve in the solution? Given Ksp of barium carbonate = 5.1*10^-9
ii)Subsequently, 5.0 mL of 1.0 mol L^-1 HNO3 is added to the mixture. Calculate the % of solid left.
iii) Another 10 mL of the HNO3 solution is added. They see bubbles appearing and all solid dissolves. Give the reaction that takes place and calculate the amount of gas formed and the pH of the final solution.
(ps: My problem with the question is in part iii. I calculated the mol of HNO3, but it doesn't seem to be enough to completely dissolve the barium carbonate. Is there an error in the question?)