\(n_{Ba^{2+}}=0.1\cdot0.05=0.005\left(mol\right)\)
\(n_{OH^-}=0.1\cdot0.05\cdot2+0.1\cdot0.3=0.04\left(mol\right)\)
\(n_{Fe^{2+}}=0.1\cdot0.2=0.02\left(mol\right)\)
\(n_{SO_4^{2-}}=0.1\cdot0.1=0.01\left(mol\right)\)
\(n_{H^+}=0.1\cdot0.1\cdot2=0.02\left(mol\right)\)
\(Ba^{2+}+SO_4^{2-}\rightarrow BaSO_4\)
\(0.005....0.005..........0.005\)
\(\Rightarrow SO_4^{2-}dư\)
\(OH^-+H^+\rightarrow H_2O\)
\(0.02.......0.02\)
\(Fe^{2+}+2OH^-\rightarrow Fe\left(OH\right)_2\)
\(0.01....0.04-0.02....0.01\)
\(\Rightarrow Fe^{2+}dư\)
\(m\downarrow=0.005\cdot197+0.01\cdot90=2.065\left(g\right)\)