Ba(OH)2(aq) + 2HNO3(aq) ==> 2H2O(l) + Ba(NO3)2(aq) ... balanced equation
A chemical equation that is balanced has the same number of each type of atom on both sides of the equation. Subscripts are a component of the chemical formulas for the reactants and products that show how many atoms of the previous element there are in each.
note the stoichiometry ... 2 mols HNO3 for each 1 mol Ba(OH)2
Now we can use dimensional analysis and the noted stoichiometry to solve the problem:
32.0 ml HNO3 x 1 L/1000 ml x 0.200 mol / L = 0.0064 mols HNO3 used
0.0064 mol HNO3 x 1 mol Ba(OH)2 / 2 mols HNO3 = 0.0032 mol Ba(OH)2 present
Concentration of Ba(OH)2 = mols/L = 0.0032 mols / 0.0250 L = 0.128 M
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