We can find the volume of the solution using the formula of molarity:
![\text{Molarity}=\frac{moles}{volume\text{ (L)}}\text{.}](https://img.qammunity.org/2023/formulas/chemistry/college/tbqs30uchzgskii8xs0pl995nnqua7f6la.png)
We have already the molarity (0.0550 M (mol/L) ) and the number of moles (0.163 moles). Clearing the formula for liters and replacing the data that we have, we're going to obtain:
![\begin{gathered} \text{Volume}=(moles)/(Molarity), \\ \text{Volume}=\frac{0.163\text{ moles}}{0.0550\text{ }(mol)/(L)}, \\ \text{Volume}=2.96\text{ L.} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/bpqzny8sxr69x59pbgd5n7hp82rmkzapes.png)
The answer is that we have 2.96 liters in a 0.0550 M of LiBr solution with 0.163 moles.