\(n_{H_2\left(dktc\right)}=\dfrac{V}{22,4}=\dfrac{2,464}{22,4}=0,11\left(mol\right)\)
Đặt \(\left\{{}\begin{matrix}n_{Ba}=a\left(mol\right)\\n_K=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\)
\(PTHH:Ba+2H_2O->Ba\left(OH\right)_2+H_2\left(1\right)\)
tỉ lệ 1 ; 2 : 1 : 1
n(mol) a--------->2a----------->a---------->a
\(PTHH:2K+2H_2O->2KOH+H_2\left(2\right)\)
tỉ lệ 2 : 2 : 2 ; 1
n(mol) b---------->b---------->b------------>1/2b
Ta có Hệ phương trình sau
\(\left\{{}\begin{matrix}137a+39b=11,53\\a+\dfrac{1}{2}b=0,11\end{matrix}\right.\\ < =>\left\{{}\begin{matrix}a=0,05\\b=0,12\end{matrix}\right.\\ < =>\left\{{}\begin{matrix}n_{Ba}=0,05\left(mol\right)\\n_K=0,12\left(mol\right)\end{matrix}\right.\)
Theo Phương trình (1) ta có: \(n_{Ba\left(OH\right)_2}=a=0,05\left(mol\right)\\ =>m_{Ba\left(OH\right)_2}=n\cdot M=0,05\cdot171=8,55\left(g\right)\)
Theo phương trình (2) ta có
\(n_{KOH}=b=0,12\left(mol\right)\\ m_{KOH}=n\cdot M=0,12\cdot56=6,72\left(g\right)\\ =>m_{ct}=8,55+6,72=15,27\left(g\right)\)