\(n_{BaSO_4}=\dfrac{23.3}{233}=0.1\left(mol\right)\)
\(Na_2O+H_2O\rightarrow2NaOH\)
\(BaO+H_2O\rightarrow Ba\left(OH\right)_2\)
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)
\(Ba\left(OH\right)_2+H_2SO_4\rightarrow BaSO_4+H_2O\)
\(n_{BaO}=n_{Ba\left(OH\right)_2}=n_{BaSO_4}=0.1\left(mol\right)\)
\(m_{BaO}=0.1\cdot153=15.3\left(g\right)\)
\(m_{Na_2O}=24.6-15.3=9.3\left(g\right)\)
\(n_{Na_2O}=\dfrac{9.3}{62}=0.15\left(mol\right)\)
\(\%BaO=62.2\%\)
\(\%Na_2O=37.8\%\)
\(2.\)
\(m_{ddX}=24.6+73.7=98.3\left(g\right)\)
\(n_{H_2SO_4}=\dfrac{0.15}{2}+0.1=0.175\left(mol\right)\)
\(m_{dd_{H_2SO_4}}=\dfrac{0.175\cdot98\cdot100}{19.6}=87.5\left(g\right)\)
\(m_{ddY}=m_{ddX}+m_{ddH_2SO_4}-m_{\downarrow}=98.3+87.5-23.3=162.5\left(g\right)\)
\(C\%_{Na_2SO_4}=\dfrac{0.075\cdot142}{162.5}\cdot100\%=6.55\%\)
