![B_2H_6+3O_2\rightarrow2HBO_2+2H_2O](https://img.qammunity.org/2023/formulas/chemistry/college/3jee4wzbbopyl700ys1ts7rwv6qza4z8av.png)
From the chemical equation we see that 1 mole of diborane (B2H6) will produce 2 moles of water.
We will firstly calculate the moles of diborane:
![\begin{gathered} _nB_2H_6=\frac{mass}{molar\text{ }mass} \\ \\ _nB_2H_6=\frac{3.7g}{27.7\text{ }gmol^(-1)} \\ _nB_2H_6=0.134\text{ }moles \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/vtbkstq1sp8z6jf00p37kru5zixje6qpa7.png)
One mole of diborane produces 2 moles of water then to find the moles of water that is produced we:
![\begin{gathered} _nH_2O=2*0.134\text{ }mole \\ _nH_2O=0.268 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/1140e719ihz0aj7gfj8or896374ck4g5hv.png)
We then convert the moles of the water to mass:
![\begin{gathered} mass=moles* molar\text{ }mass\text{ }H_2O_ \\ \\ mass=0.268\text{ }mol*18\text{ }gmol^(-1) \\ \\ mass=4.824g \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/o613uyj2v66a352ffhos5icurkgvpm0bn5.png)
Mass of water is 4.824g