$2Na + 2H_2O \to 2NaOH + H_2$
$Ba + 2H_2O \to Ba(OH)_2 + H_2$
$n_{H_2} = 0,15(mol)$
Theo PTHH :
$n_{OH^-} = 2n_{H_2} = 0,15.2 = 0,3(mol)$
Coi $V_{hh} = V(lít)$
Suy ra : $n_{HCl} = 0,5V; n_{HNO_3} = V$
Suy ra: $n_{H^+} = 0,5V + V = 1,5V(mol)$
$H^+ + OH^- \to H_2O$
Suy ra: $1,5V = 0,3 \Rightarrow V = 0,2(lít) = 200(ml)$