Answer:
Concentration of the barium ions = ![[Ba^{2+}] = 0.4654 M](https://tex.z-dn.net/?f=%5BBa%5E%7B2%2B%7D%5D%20%3D%200.4654%20M)
Concentration of the chloride ions = ![[Cl^{-}]=0.9308 M](https://tex.z-dn.net/?f=%5BCl%5E%7B-%7D%5D%3D0.9308%20M%20)
Explanation:
![Moles (n)=Molarity(M)\times Volume (L)](https://tex.z-dn.net/?f=Moles%20%28n%29%3DMolarity%28M%29%5Ctimes%20Volume%20%28L%29)
Moles of hydrogen chloride = n
Volume of hydrogen chloride solution = 43.89 mL = 0.04389 L
Molarity of the hydrogen chloride = 0.1355 M
![n=0.1355 M\times 0.04389 L=0.005947 mol](https://tex.z-dn.net/?f=n%3D0.1355%20M%5Ctimes%20%200.04389%20L%3D0.005947%20mol)
![Ba(OH)_2+2HCl\rightarrow BaCl_2+2H_2O](https://tex.z-dn.net/?f=Ba%28OH%29_2%2B2HCl%5Crightarrow%20BaCl_2%2B2H_2O)
According to reaction, 2 moles of HCl reacts with 1 mole of barium hydroxide.
Then 0.05947 moles of HCl will react with:
barium hydroxide
Moles of barium hydroxide = 0.029735 mol
![Ba(OH)_2(aq)\rightarrow Ba^{2+}(aq)+2OH^-(aq)](https://tex.z-dn.net/?f=Ba%28OH%29_2%28aq%29%5Crightarrow%20Ba%5E%7B2%2B%7D%28aq%29%2B2OH%5E-%28aq%29)
1 mole of barium hydroxide gives 1 mole of barium ion in an aqueous solution. Then 0.029735 moles of barium hydroxide will give:
![=1\times 0.029735 mol= 0.029735 mol](https://tex.z-dn.net/?f=%3D1%5Ctimes%200.029735%20mol%3D%200.029735%20mol)
Volume of solution after neutralization reaction :
= 20.0 mL + 43.89 mL = 63.89 mL = 0.06389 L
Concentration of the barium ions =![[Ba^{2+}]](https://tex.z-dn.net/?f=%5BBa%5E%7B2%2B%7D%5D)
![[Ba^{2+}]=\frac{0.029735 mol}{0.06389 L}=0.4654 M](https://tex.z-dn.net/?f=%5BBa%5E%7B2%2B%7D%5D%3D%5Cfrac%7B0.029735%20mol%7D%7B0.06389%20L%7D%3D0.4654%20M)
![Ba(Cl)_2(aq)\rightarrow Ba^{2+}(aq)+2Cl^-(aq)](https://tex.z-dn.net/?f=Ba%28Cl%29_2%28aq%29%5Crightarrow%20Ba%5E%7B2%2B%7D%28aq%29%2B2Cl%5E-%28aq%29)
1 mole of barium chloride gives 1 mole of barium ions and 2 moles of chloride ions in an aqueous solution.
Then concentration of chloride ions will be:
![[Cl^-]=2\times [Ba^{2+}]=2\times 0.4654 M=0.9308 M](https://tex.z-dn.net/?f=%5BCl%5E-%5D%3D2%5Ctimes%20%5BBa%5E%7B2%2B%7D%5D%3D2%5Ctimes%200.4654%20M%3D0.9308%20M)