How much carbon dioxide needs to be dissolved in 1710 g of a 3% solution of barite water in order to convert

How much carbon dioxide needs to be dissolved in 1710 g of a 3% solution of barite water in order to convert all the barium hydroxide contained in it into an acidic salt?

Ba (OH) 2 + 2CO2 = Ba (HCO3) 2

Find the mass and amount of the substance of barium hydroxide:

m (Ba (OH) 2) = w (Ba (OH) 2) * m (solution) = 1710 * 0.03 = 51.3 g;

n (Ba (OH) 2) = m (Ba (OH) 2) / M (Ba (OH) 2) = 51.3 / 171 = 0.3 mol;

According to the stoichiometry of the reaction:

n (CO2) = 2n (Ba (OH) 2) = 0.6 mol;

Let’s find the volume of carbon dioxide (at n.a.):

V (CO2) = n (CO2) * VM = 0.6 * 22.4 = 13.4 liters.

Answer: V (CO2) = 13.4 liters.