\(a,2KMnO_4+16HCl_{đặc}\rightarrow\left(t^o\right)2KCl+2MnCl_2+5Cl_2+8H_2O\\ 2Fe+3Cl_2\rightarrow\left(t^o\right)2FeCl_3\\ Ta.có:n_{FeCl_3}=\dfrac{39}{162,5}=0,24\left(mol\right)\\ n_{Fe}=n_{FeCl_3}=0,24\left(mol\right)\\ n_{Cl_2}=\dfrac{3}{2}.0,24=0,36\left(mol\right)\\ n_{K_2MnO_4}=\dfrac{2}{5}.0,36=0,144\left(mol\right)\\ n_{HCl}=\dfrac{16}{5}.0.36=1,152\left(mol\right)\\ \Rightarrow a=m_{KMnO_4}=0,144.158=22,752\left(g\right)\\ b=C_{MddHCl}=\dfrac{1,152}{0,1}=11,52\left(M\right)\\ x=m_{Fe}=0,24.56=13,44\left(g\right)\\ V=V_{Cl_2\left(đktc\right)}=0,36.22,4=8,064\left(l\right) \)
\(b,n_{KCl}=n_{MnCl_2}=\dfrac{2}{5}.0,36=0,144\left(mol\right)\\ KCl+AgNO_3\rightarrow AgCl\downarrow\left(trắng\right)+KNO_3\\ MnCl_2+2AgNO_3\rightarrow2AgCl\downarrow\left(trắng\right)+Mn\left(NO_3\right)_2\\ n_{AgNO_3}=n_{AgCl}=n_{KCl}+2.n_{MnCl_2}=0,144+2.0,144=0,432\left(mol\right)\\ \Rightarrow m_{AgCl\downarrow\left(trắng\right)}=143,5.0,432=61,992\left(g\right)\\ m_{AgNO_3}=0,432.170=73,44\left(g\right)\\ \Rightarrow m_{ddAgNO_3}=\dfrac{73,44.100}{5}=1468,8\left(g\right)\)