\(n_{H_2SO_4}=0,005.0,1=0,0005\left(mol\right)\\ \Rightarrow n_{H^+}=2.0,0005=0,001\left(mol\right)\\ n_{NaOH}=0,1.0,002=0,0002\left(mol\right)\\ n_{Ba\left(OH\right)_2}=0,003.0,1=0,0003\left(mol\right)\\ \Rightarrow n_{OH^-}=0,0002+0,0003.2=0,0008\left(mol\right)\\ H^++OH^-\rightarrow H_2O\\ Vì:\dfrac{0,0008}{1}< \dfrac{0,001}{1}\Rightarrow H^+dư\\ \left[H^+\left(dư\right)\right]=\dfrac{0,001-0,0008}{0,1+0,1}=0,001\left(M\right)\\ \Rightarrow pH=-log\left[H^+\right]=-log\left[0,001\right]=3\)
\(m=m_{Na^+}+m_{Ba^{2+}}+m_{SO_4^{2-}}=0,0002.23+0,0003.137+0,0005.96=0,0937\left(g\right)\)