Gọi: \(\left\{{}\begin{matrix}n_{FeCl_3}=x\left(mol\right)\\n_{MgCl_2}=y\left(mol\right)\end{matrix}\right.\)
PT: \(FeCl_3+3KOH\rightarrow Fe\left(OH\right)_{3\downarrow}+3KCl\)
______x_________3x_________x (mol)
\(MgCl_2+2KOH\rightarrow Mg\left(OH\right)_{2\downarrow}+2KCl\)
____y_________2y_________y (mol)
Ta có: \(n_{KOH}=0,2.2,5=0,5\left(mol\right)\)
⇒ 3x + 2y = 0,5 (1)
m kết tủa = 16,5 ⇒ 107x + 58y = 16,5 (2)
Từ (1) và (2) ⇒ x = y = 0,1 (mol)
\(\Rightarrow C_{M_{FeCl_3}}=C_{M_{MgCl_2}}=\dfrac{0,1}{0,5}=0,2\left(M\right)\)
\(FeCl_3+3KOH\rightarrow Fe\left(OH\right)_3\downarrow+3KCl\\ MgCl_2+2KOH\rightarrow Mg\left(OH\right)_2\downarrow+2KCl\)
\(n_{KOH}=0,2\cdot2,5=0,5\left(mol\right)\)
Đặt nFeCl₃ trong 500ml X là a mol, nMgCl₂ trong 500ml X là b mol
\(\Rightarrow\left\{{}\begin{matrix}3a+2b=0,5\\107a+58b=16,5\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(\Rightarrow C_MFeCl_3=\dfrac{0,1}{0,5}=0,2\left(M\right)\\ C_MMgCl_2=\dfrac{0,1}{0,5}=0,2\left(M\right)\)