\(n_{FeCl_3}=\dfrac{16.25}{162.5}=0.1\left(mol\right)\)
\(Fe+\dfrac{3}{2}Cl_2\underrightarrow{t^0}FeCl_3\)
\(......0.15......0.1\)
\(2KMnO_4+16HCl\rightarrow2KCl+2MnCl_2+5Cl_2+8H_2O\)
\(0.06...............0.48........................................0.15\)
\(m_{KMnO_4}=0.06\cdot158=9.48\left(g\right)\)
\(V_{dd_{HCl}}=\dfrac{0.48}{1}=0.48\left(l\right)=480\left(ml\right)\)
\(2Fe+ 3Cl_2 \xrightarrow{t^o} 2FeCl_3\\ n_{Cl_2} = \dfrac{3}{2}n_{FeCl_3} = \dfrac{3}{2}.\dfrac{16,25}{162,5} = 0,15(mol)\\ 2KMnO_4 + 16HCl \to 2KCl + 2MnCl_2 + 5Cl_2 + 8H_2O\\ n_{KMnO_4} = \dfrac{2}{5}n_{Cl_2} = 0,06(mol)\\ \Rightarrow m_{KMnO_4} = 0,06.158 = 9,48(gam)\\ n_{HCl} = \dfrac{16}{4}n_{Cl_2} = 0,48(mol)\\ \Rightarrow V_{dd\ HCl} = \dfrac{0,48}{1} = 0,48(lít) = 480(ml)\)