Gọi oxit kim loại cần tìm là \(M_2O_3\).
a) \(M_2O_3+6HCl\rightarrow2MCl_3+3H_2O\left(1\right)\)
b) \(n_{HCl}=C_M\cdot V=1\cdot0,24=0,24\left(mol\right)\)
Theo pthh \(\left(1\right):n_{M_2O_3}=\dfrac{1}{6}n_{HCl}=\dfrac{0,24}{6}=0,04\left(mol\right)\)
\(\Rightarrow M_{M_2O_3}=\dfrac{m}{n}=\dfrac{6,4}{0,04}=160\left(g\right)\\ \Rightarrow2M_M+48=160\\ \Rightarrow2M_M=112\\ \Rightarrow M_M=56\\ \Rightarrow M\text{ }là\text{ }kim\text{ }\text{loại }Fe\left(Sắt\right)\)
\(\Rightarrow M_xO_y=Fe_2O_3\)
c) Gọi CTHH của tinh thể là \(FeCl_3.nH_2O\)
\(pthh:Fe_2O_3+6HCl\rightarrow2FeCl_3+3H_2O\left(2\right)\)
Theo pthh \(\left(2\right):n_{FeCl_3}=\dfrac{1}{3}n_{HCl}=\dfrac{0,24}{3}=0,08\left(mol\right)\)
\(\Rightarrow M_{FeCl_3.nH_2O}=\dfrac{m}{n}=\dfrac{15,88}{0,08}=198,5\left(g\right)\\ \Rightarrow162.5+18n=198,5\\ \Rightarrow18n=36\\ \Rightarrow n=2\)
\(\Rightarrow FeCl_3.nH_2O=FeCl_3.2H_2O\)