Ta có: \(\left\{{}\begin{matrix}n_{CO_2}=\dfrac{1,344}{22,4}=0,06\left(mol\right)\\n_{OH^-}=0,5.\left(0,1+0,06\right)=0,08\left(mol\right)\\n_{BaCl_2}=0,25.0,16=0,04\left(mol\right)\\n_{BaCO_3}=\dfrac{5,91}{197}=0,03\left(mol\right)\end{matrix}\right.\)
PT ion rút gọn: \(CO_2+2OH^-\rightarrow CO_3^{2-}+H_2O\) (1)
0,04<---0,08------->0,04
\(CO_3^{2-}+CO_2+H_2O\rightarrow2HCO_3^-\) (2)
0,02<---0,02-------------->0,04
=> dd X có \(\left\{{}\begin{matrix}n_{CO_3^{2-}}=0,02\left(mol\right)\\n_{HCO_3^-}=0,04\left(mol\right)\end{matrix}\right.\)
Ta có: \(n_{BaCO_3}< n_{BaCl_2}\left(0,03< 0,04\right)\)
=> Ba2+ dư, CO32- hết
PT ion rút gọn: \(OH^-+HCO_3^{2-}\rightarrow CO_3^{2-}+H_2O\) (3)
\(Ba^{2+}+CO_3^{2-}\rightarrow BaCO_3\downarrow\) (4)
0,03<-----0,03
=> \(n_{CO_3^{2-}\left(3\right)}=0,03-0,02=0,01\left(mol\right)\)
Theo (3): \(n_{OH^-}=n_{CO_3^{2-}}=0,01\left(mol\right)\)
=> \(n_{Ba\left(OH\right)_2}=\dfrac{1}{2}n_{OH^-}=0,005\left(mol\right)\)
=> \(a=C_{M\left(Ba\left(OH\right)_2\right)}=\dfrac{0,005}{0,25}=0,02M\)