\(Na_2SO_4\left(a\right)+BaCl_2\left(a\right)\rightarrow2NaCl+BaSO_4\left(1\right)\)
\(K_2SO_4\left(2a\right)+BaCl_2\left(2a\right)\rightarrow2KCl+BaSO_4\left(2\right)\)
\(BaCl_2+H_2SO_4\rightarrow BaSO_4+2HCl\left(3\right)\)
Gọi số mol của Na2SO4 và K2SO4 lần lược là a, 2a.
\(m_{BaCl_2}=1664.10\%=166,4\left(g\right)\)
\(\Rightarrow n_{BaCl_2}=\dfrac{166,4}{208}=0,8\left(mol\right)\)
Số mol BaCl2 dư là: \(0,8-a-2a=0,8-3a\left(mol\right)\)
\(\Rightarrow BaSO_4\left(3\right)=\dfrac{46,6}{233}=0,2\left(mol\right)\)
\(\Rightarrow n_{BaCl_2\left(3\right)}=0,2\left(mol\right)\)
\(\Rightarrow0,8-3a=0,2\)
\(\Leftrightarrow a=0,2\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Na_2SO_4}=0,2.142=28,4\left(g\right)\\m_{K_2SO_4}=0,2.2.174=69,6\left(g\right)\end{matrix}\right.\)
\(\Rightarrow m_A=102+28,4+69,6=200\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%\left(Na_2SO_4\right)=\dfrac{28,4}{200}.100\%=14,2\%\\C\%\left(K_2SO_4\right)=\dfrac{69,6}{200}.100\%=34,8\%\end{matrix}\right.\)
