Answer:
![\% H_2O=51.2\%](https://img.qammunity.org/2022/formulas/chemistry/college/1h8tzfiu71onydygr4k42imkqm59tfouip.png)
Step-by-step explanation:
Hello!
In this case, since the percent water is computed by dividing the amount of water by the total mass of the hydrate; we infer we first need the molar mass of water and that of the hydrate as shown below:
![MM_(MgSO_4* 7H_2O)=120.36 g/mol+7*18.02g/mol\\\\MM_(MgSO_4* 7H_2O)=246.5g/mol](https://img.qammunity.org/2022/formulas/chemistry/college/st3vocfspv5pqcyo3ngv53nwagq83u7q4k.png)
Thus, the percent water is:
![\% H_2O=(7*MM_(H_2O))/(MM_(MgSO_4* 7H_2O)) *100\%\\\\](https://img.qammunity.org/2022/formulas/chemistry/college/smwttp7bn3i81uy7yt40m6vqgkal26s6br.png)
So we plug in to obtain:
![\% H_2O=(7*18.02)/(246.5) *100\%\\\\\% H_2O=51.2\%](https://img.qammunity.org/2022/formulas/chemistry/college/i86cs87yt2yzdrz8m28ku3qjdtmry0yexz.png)
Best regards!