\(n_{Ba\left(OH\right)_2}=\dfrac{100}{171}\left(mol\right)\)
\(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)
\(\dfrac{100}{171}........\dfrac{200}{171}\)
\(V_{dd_{HCl}}=\dfrac{\dfrac{200}{171}}{0.5}=2.34\left(l\right)=2340\left(ml\right)\)
\(n_{Ba(OH)_2}=\dfrac{100}{171}\approx 0,58(mol)\\ Ba(OH)_2+2HCl\to BaCl_2+2H_2O\\ \Rightarrow n_{HCl}=2n_{Ba(OH)_2}=1,16(mol)\\ \Rightarrow V_{dd_{HCl}}=\dfrac{1,16}{0,5}=2,32(l)=2320(ml)\)