Answer:
![\begin{gathered} Ba=80.14\% \\ O_2=18.67\% \\ H_2=1.18\% \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/cyxaiz0ll4oakb0hfwsewj76i7urvbrub6.png)
Explanations:
In order to find the percent composition by mass of each element, you will follow the following step:
Step 1: Determine the molar mass of Ba(OH)2
![\begin{gathered} Ba(OH)_2=137.327+2(16)+(2.016) \\ Ba(OH)_2=137.327+32+2.016 \\ molar\text{ mass of Ba\lparen OH\rparen}_2=171.359gmol^(-1) \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/8fxh5nm9ihsheurwvb2rkp51p8cw3ip07f.png)
Step 2: Determine the composition by mass of each element
For Barium element
![\begin{gathered} \%Ba=(137.327)/(171.359)*100\% \\ \%Ba=0.8014*100 \\ \%Ba=80.14\% \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/cmyymavgwlmtrkii5ytwj8pgptsdlgx46e.png)
For Oxygen element
![\begin{gathered} \%O=(32)/(171.359)*100 \\ \%O=0.1867*100 \\ \%O=18.67\% \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/efn09l0894c7cdamxlcnl8rweu6n8spdab.png)
For the oxygen element
![\begin{gathered} \%H=(2.016)/(171.359)*100 \\ \%H=0.0118*100 \\ \%H=1.18\% \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/bd5bkve8iplsjr6zsf79ny65qc7h7gs913.png)