Ta có: \(\left\{{}\begin{matrix}n_{NaOH}=0,5.0,5=0,25\left(mol\right)\\n_{KOH}=0,5.0,5=0,25\left(mol\right)\\n_{CO_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\end{matrix}\right.\)
Đặt CT chung của NaOH và KOH là AOH
=> \(n_{AOH}=n_{NaOH}+n_{KOH}=0,25+0,25=0,5\left(mol\right)\)
PTHH: 2AOH + CO2 \(\rightarrow\) A2CO3 + H2O
Ban đầu: 0,5 0,4
Pư: 0,5----->0,25
Sau pư: 0 0,15 0,25
A2CO3 + CO2 + H2O \(\rightarrow\) 2AHCO3
Ban đầu: 0,25 0,15
Pư: 0,15<----0,15
Sau pư: 0,1 0 0,3
=> \(\dfrac{1}{2}\) ddY có: \(\left\{{}\begin{matrix}n_{A_2CO_3}=\dfrac{0,1}{2}=0,05\left(mol\right)\\n_{AHCO_3}=\dfrac{0,3}{2}=0,15\left(mol\right)\end{matrix}\right.\)
PTHH: \(A_2CO_3+Ba\left(OH\right)_2\rightarrow BaCO_3\downarrow+2AOH\)
0,05--------------------->0,05
\(AHCO_3+Ba\left(OH\right)_{2\left(d\text{ư}\right)}\rightarrow BaCO_3\downarrow+AOH+H_2O\)
0,15-------------------------->0,15
\(A_2CO_3+BaCl_2\rightarrow BaCO_3\downarrow+2ACl\)
0,05------------------->0,05
=> \(\left\{{}\begin{matrix}a=\left(0,15+0,05\right).197=39,4\left(g\right)\\b=0,05.197=9,85\left(g\right)\end{matrix}\right.\)
=> a - b = 39,4 - 9,85 = 29,55 (g)